monash_transp


Home · Teaching · Supervision · Publications

Ricardo Ruiz Baier


School of Mathematics, Monash University
Office 315, 9 Rainforest Walk
Melbourne, VIC 3800, Australia
E-mail: Ricardo.RuizBaier@monash.edu
Phone: +61 3 9905 4485


PUBLICATIONS

Submitted preprints

[9]I. Bermudez, B. Gómez-Vargas, A. E. Rubiano and R. Ruiz-BaierFully mixed virtual element schemes for steady-state poroelastic stress-assisted diffusionarXiv preprint 2510.12307, 2025[DOI ,URL ,BIB
@article{bgrr_newSAD,
 author = {Bermudez, Isaac and G\'omez-Vargas, Bryan and Rubiano, Andres E. and Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2510.12307},
 fjournal = {arXiv preprint 2510.12307},
 title = {Fully mixed virtual element schemes for steady-state poroelastic stress-assisted diffusion},
 year = {2025}
}
]
[8]A. Bansal, N. A. Barnafi, D. N. Pandey and R. Ruiz-BaierA Nitsche method for Navier–Stokes/generalized poroelasticity interface problemsarXiv preprint 2508.09388, 2025[DOI ,URL ,BIB
@article{bbpr_nitsche,
 author = {Bansal, Aparna and Barnafi, Nicol\'as A and Pandey, Dwijendra N and Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2508.09388},
 fjournal = {arXiv preprint 2508.09388},
 title = {A Nitsche method for {Navier--Stokes}/generalized poroelasticity interface problems},
 year = {2025}
}
]
[7]F. Dassi, R. Khot, A. E. Rubiano and R. Ruiz-BaierAnalysis and virtual element discretisation of a Stokes/Biot–Kirchhoff bulk–surface modelarXiv preprint 2508.02450, 2025[DOI ,URL ,BIB
@article{dkrr_bulkSurface,
 author = {Dassi, Franco and Khot, Rekha and Rubiano, Andres E. and Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2508.02450},
 fjournal = {arXiv preprint 2508.02450},
 title = {Analysis and virtual element discretisation of a
Stokes/Biot--Kirchhoff bulk--surface model},
 year = {2025}
}
]
[6]N. Nataraj, R. Ruiz-Baier and A. YousufUnified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin platesarXiv preprint 2506.14455, 2025[DOI ,URL ,BIB
@article{nry_unified,
 author = {Nataraj, Neela and Ruiz-Baier, Ricardo and Yousuf, Aamir},
 doi = {10.48550/2506.14455},
 fjournal = {arXiv preprint 2506.14455},
 title = {Unified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin plates},
 year = {2025}
}
]
[5]F. Dassi, R. Khot, A. E. Rubiano and R. Ruiz-BaierA posteriori error analysis of a robust virtual element method for stress-assisted diffusion problemsarXiv preprint 2504.00648, 2025[DOI ,URL ,BIB
@article{dkrr_apost,
 author = {Dassi, Franco and Khot, Rekha and Rubiano, Andres E. and Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2504.00648},
 fjournal = {arXiv preprint 2504.00648},
 title = {A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems},
 year = {2025}
}
]
[4]Z. Gharibi, M. Dehghan and R. Ruiz-BaierA stabilization-free mixed virtual element approximation for unsteady non-Newtonian pseudoplastic Stokes flowsarXiv preprint 2506.18168, 2025[DOI ,URL ,BIB
@article{gdr_pseudoplastic,
 author = {Gharibi, Zeinab and Dehghan, Medhi and Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2506.18168},
 fjournal = {arXiv preprint 2506.18168},
 title = {A stabilization-free mixed virtual element approximation for unsteady non-{N}ewtonian pseudoplastic {S}tokes flows},
 year = {2025}
}
]
[3]M. Álvarez, G. A. Benavides, G. N. Gatica, E. Henriquez and R. Ruiz-BaierBanach spaces-based mixed finite element methods for a steady sedimentation-consolidation systemCI$^2$MA Preprint 2024-16, 2024[URL ,BIB
@article{abghr_sedimentation,
 author = {\'Alvarez, Mario and Benavides, Gonzalo A and Gatica, Gabriel N and Henriquez, Esteban and Ruiz-Baier, Ricardo},
 fjournal = {CI$^2$MA Preprint 2024-16},
 title = {Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system},
 year = {2024}
}
]
[2]R. Demos, R. Dubey, R. Ruiz-Baier and S. Villa-FuentesNumerical analysis of a porous natural convection system with vorticity and viscous dissipationarXiv preprint 2407.02986, 2024[DOI ,URL ,BIB
@article{ddrv_dissipation,
 author = {Demos, Russel and Dubey, Rashmi and Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
 doi = {10.48550/arXiv.2407.02986},
 fjournal = {arXiv preprint 2407.02986},
 title = {Numerical analysis of a porous natural convection system with vorticity and viscous dissipation},
 year = {2024}
}
]
[1]A. Khan, D. Mora, R. Ruiz-Baier and J. VellojinDivergence-conforming finite element methods for flow-transport coupling with osmotic effectsarXiv preprint 2402.01451, 2024[DOI ,URL ,BIB
@article{kmrv_membrane,
 author = {Khan, Arbaz and Mora, David and Ruiz-Baier, Ricardo and Vellojin, Jesus},
 doi = {10.48550/arXiv.2402.01451},
 fjournal = {arXiv preprint 2402.01451},
 title = {Divergence-conforming finite element methods for flow-transport coupling with osmotic effects},
 year = {2024}
}
]

Accepted for publication

[3]A. Bansal, N. A. Barnafi, D. N. Pandey and R. Ruiz-BaierA Lagrange multiplier-based method for Stokes-linearized poro-hyperelastic interface problemsIMA Journal of Numerical Analysis, 2025[DOI ,URL ,BIB
@article{bbpr_ima25,
 author = {Bansal, Aparna and Barnafi, Nicol\'as A and Pandey, Dwijendra N and Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2407.13684},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 title = {A {L}agrange multiplier-based method for {S}tokes-linearized poro-hyperelastic interface problems},
 year = {2025}
}
]
[2]N. A. Barnafi, A. F. Martín and R. Ruiz-BaierTree-based adaptive finite element methods for deformable image registrationin Error Control, Adaptive Discretizations, and Applications, Part 3, edited by F. Chouly, S. P. A. Bordas, R. Becker and P. Omnes, Elsevier, London, 2025[DOI ,URL ,BIB
@incollection{bmr_elsevier25,
 author = {Barnafi, Nicolas A and Mart\'in, Alberto F and  Ruiz-Baier, Ricardo},
 booktitle = {Error Control, Adaptive Discretizations, and Applications, Part 3},
 doi = {10.1016/bs.aams.2025.09.002},
 editor = {Chouly, Franz and Bordas, St\'ephane P A and Becker, Roland and Omnes, Pascal},
 publisher = {Elsevier, London},
 series = {Advances in Applied Mechanics},
 title = {Tree-based adaptive finite element methods for deformable image registration},
 volume = {61},
 year = {2025}
}
]
[1]A. Khan, B. P. Lamichhane, R. Ruiz-Baier and S. Villa-FuentesA priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeabilityIMA Journal of Numerical Analysis, 2025[DOI ,URL ,BIB
@article{klrv_ima25,
 author = {Khan, Arbaz and Lamichhane, Bishnu P and Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
 doi = {10.1093/imanum/draf101},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 title = {A priori and a posteriori error bounds for the fully mixed {FEM} formulation of poroelasticity with stress-dependent permeability},
 year = {2025}
}
]

Published in refereed journals

2025

[127]N. Nataraj, R. Ruiz-Baier and A. YousufSemi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problemComputational Methods in Applied Mathematics, 25(4):921–948, 2025[DOI ,URL ,BIB
@article{nry_cmam25,
 author = {Nataraj, Neela and Ruiz-Baier, Ricardo and Yousuf, Aamir},
 doi = {10.1515/cmam-2025-0002},
 fjournal = {Computational Methods in Applied Mathematics},
 journal = {Comput. Methods Appl. Math.},
 number = {4},
 pages = {921--948},
 title = {Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem},
 volume = {25},
 year = {2025}
}
]
[126]R. Khot, A. E. Rubiano and R. Ruiz-BaierRobust virtual element methods for coupled stress-assisted diffusion problemsSIAM Journal on Scientific Computing, 47(1):A497–A526, 2025[DOI ,URL ,BIB
@article{krr_sisc25,
 author = {Khot, Rekha and Rubiano, Andres E and Ruiz-Baier, Ricardo},
 doi = {10.1137/24M163640X},
 fjournal = {SIAM Journal on {S}cientific {C}omputing},
 journal = {SIAM J. Sci. Comput.},
 number = {1},
 pages = {A497--A526},
 title = {Robust virtual element methods for coupled stress-assisted diffusion problems},
 volume = {47},
 year = {2025}
}
]
[125]S. Kumar, U. Rajput and R. Ruiz-BaierMixed virtual element methods for a stress-velocity-rotation formulation in viscoelasticityJournal of Scientific Computing, 105:e25(1–24), 2025[DOI ,URL ,BIB
@article{krr_jsc25,
 author = {Kumar, Sarvesh and Rajput, Utkarsh and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-025-03053-2},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 pages = {e25(1--24)},
 title = {Mixed virtual element methods for a stress-velocity-rotation formulation in viscoelasticity},
 volume = {105},
 year = {2025}
}
]
[124]T. Kearny, R. Ruiz-Baier and M. B. FleggNumerically refined reaction conditions for stochastic simulation of nonelementary trimolecular reactions between closest particlesPhysical Review E, 112:e034126(1–22), 2025[DOI ,URL ,BIB
@article{krf_pre25,
 author = {Kearny, Taylor and Ruiz-Baier, Ricardo and Flegg, Mark B.},
 doi = {10.1103/gd4f-nyqv},
 fjournal = {Physical Review E},
 journal = {Phys. Rev. E},
 pages = {e034126(1--22)},
 title = {Numerically refined reaction conditions for stochastic simulation of nonelementary trimolecular reactions between closest particles},
 volume = {112},
 year = {2025}
}
]
[123]R. Khot, D. Mora and R. Ruiz-BaierVirtual element methods for Biot–Kirchhoff poroelasticityMathematics of Computation, 94(353):1101–1146, 2025[DOI ,URL ,BIB
@article{kmr_mc25,
 author = {Khot, Rekha and Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1090/mcom/3983},
 fjournal = {Mathematics of Computation},
 journal = {Math. Comp.},
 number = {353},
 pages = {1101--1146},
 title = {Virtual element methods for {Biot--Kirchhoff} poroelasticity},
 volume = {94},
 year = {2025}
}
]
[122]G. N. Gatica, C. Inzunza and R. Ruiz-BaierPrimal-mixed finite element methods for the coupled Biot and Poisson–Nernst–Planck equationsComputers & Mathematics with Applications, 186:53–83, 2025[DOI ,URL ,BIB
@article{gir_camwa25,
 author = {Gatica, Gabriel N and Inzunza, Cristian and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.camwa.2025.03.004},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 pages = {53--83},
 title = {Primal-mixed finite element methods for the coupled {B}iot and {P}oisson--{N}ernst--{P}lanck equations},
 volume = {186},
 year = {2025}
}
]
[121]J. Careaga, G. N. Gatica, C. Inzunza and R. Ruiz-BaierNew Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equationsIMA Journal of Numerical Analysis, 45(2):1936–1984, 2025[DOI ,URL ,BIB
@article{cgir_ima25,
 author = {Careaga, Julio and  Gatica, Gabriel N and Inzunza, Cristian and Ruiz-Baier, Ricardo},
 doi = {10.1093/imanum/drae052},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 number = {2},
 pages = {1936--1984},
 title = {New {B}anach spaces-based mixed finite element methods 
for the coupled poroelasticity and heat equations},
 volume = {45},
 year = {2025}
}
]
[120]S. Badia, C. Carstensen, A. F. Martín, R. Ruiz-Baier and S. Villa-FuentesA velocity-vorticity-pressure formulation for the steady Navier–Stokes–Brinkman–Forchheimer problemComputer Methods in Applied Mechanics and Engineering, 447:e118343(1–27), 2025[DOI ,URL ,BIB
@article{bcmrv_cmame25,
 author = {Badia, Santiago and Carstensen, Carsten and Mart\'in, Alberto F and  Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
 doi = {10.1016/j.cma.2025.118343},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {e118343(1--27)},
 title = {A velocity-vorticity-pressure formulation for the steady {Navier--Stokes--Brinkman--Forchheimer} problem},
 volume = {447},
 year = {2025}
}
]

2024

[119]B. P. Lamichhane, R. Ruiz-Baier and S. Villa-FuentesNew twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeabilityResults in Applied Mathematics, 21:e100438(1–22), 2024[DOI ,URL ,BIB
@article{lrv_rinam24,
 author = {Lamichhane, Bishnu P and  Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
 doi = {10.1016/j.rinam.2024.100438},
 fjournal = {Results in Applied Mathematics},
 journal = {Results Appl. Math.},
 pages = {e100438(1--22)},
 title = {New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability},
 volume = {21},
 year = {2024}
}
]
[118]S. Kumar, D. Mora, R. Ruiz-Baier and N. VermaNumerical solution of the Biot/elasticity interface problem using virtual element methodsJournal of Scientific Computing, 98:e53(1–32), 2024[DOI ,URL ,BIB
@article{kmrv_jsc24,
 author = {Kumar, Sarvesh and Mora, David and Ruiz-Baier, Ricardo and Verma, Nitesh},
 doi = {10.1007/s10915-023-02444-7},
 fjournal = {Journal of Scientific Computing},
 journal = {J. Sci. Comput.},
 pages = {e53(1--32)},
 title = {Numerical solution of the {B}iot/elasticity interface problem using virtual element methods},
 volume = {98},
 year = {2024}
}
]
[117]R. Caraballo, C. W. In, A. F. Martín and R. Ruiz-BaierRobust finite element methods and solvers for the Biot–Brinkman equations in vorticity formNumerical Methods for Partial Differential Equations, 40(3):e23083(1–26), 2024[DOI ,URL ,BIB
@article{cimr_nmpde24,
 author = {Caraballo, Ruben and In, Chansophea Wathanak and  Alberto F Mart\'in and Ricardo Ruiz-Baier},
 doi = {10.1002/num.23083},
 fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
 journal = {Numer. Methods Part. Diff. Eqns.},
 number = {3},
 pages = {e23083(1--26)},
 title = {Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form},
 volume = {40},
 year = {2024}
}
]
[116]C. I. Correa, G. N. Gatica, E. Henríquez, R. Ruiz-Baier and M. SolanoBanach spaces-based mixed finite element methods for the coupled Navier–Stokes and Poisson–Nernst–Planck equationsCalcolo, 61:e31(1–44), 2024[DOI ,URL ,BIB
@article{cghrs_calcolo24,
 author = {Correa, Claudio I and Gatica, Gabriel N and Henr\'iquez, Esteban and Ruiz-Baier, Ricardo and Solano, Manuel},
 doi = {10.1007/s10092-024-00584-2},
 fjournal = {Calcolo},
 journal = {Calcolo},
 pages = {e31(1--44)},
 title = {Banach spaces-based mixed finite element methods for the coupled {Navier--Stokes} and {Poisson--Nernst--Planck} equations},
 volume = {61},
 year = {2024}
}
]
[115]R. Bürger, A. Khan, P. E. Méndez and R. Ruiz-BaierDivergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysisIMA Journal of Numerical Analysis, 44(6):3520–3572, 2024[DOI ,URL ,BIB
@article{bkmr_ima24,
 author = {Raimund B\"urger and Arbaz Khan and Paul E. M\'endez and Ricardo Ruiz-Baier},
 doi = {10.1093/imanum/drad090},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 number = {6},
 pages = {3520--3572},
 title = {Divergence-conforming methods for transient doubly-diffusive flows: {A} priori and a posteriori error analysis},
 volume = {44},
 year = {2024}
}
]
[114]S. Badia, M. Hornkjøl, A. Khan, K. Mardal, A. F. Martín and R. Ruiz-BaierEfficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problemComputers & Mathematics with Applications, 157:173–194, 2024[DOI ,URL ,BIB
@article{bhkmmr_camwa24,
 author = {Santiago Badia and Martin Hornkj{\o}l and Arbaz Khan and Kent-Andr\'e Mardal and Alberto F Mart\'in and Ricardo Ruiz-Baier},
 doi = {10.1016/j.camwa.2023.12.038},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 pages = {173--194},
 title = {Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem},
 volume = {157},
 year = {2024}
}
]

2023

[113]S. Meddahi and R. Ruiz-BaierA mixed discontinuous Galerkin method for a linear viscoelasticity problem with strongly imposed symmetrySIAM Journal on Scientific Computing, 45(1):B27–B56, 2023[DOI ,URL ,BIB
@article{mr_sisc23,
 author = {Meddahi, Salim and Ruiz-Baier, Ricardo},
 doi = {10.1137/22M1482081},
 fjournal = {SIAM Journal on {S}cientific {C}omputing},
 journal = {SIAM J. Sci. Comput.},
 number = {1},
 pages = {B27--B56},
 title = {A mixed discontinuous {G}alerkin method for a linear viscoelasticity problem with strongly imposed symmetry},
 volume = {45},
 year = {2023}
}
]
[112]G. N. Gatica, N. Núñez and R. Ruiz-BaierMixed-primal methods for natural convection driven phase change with Navier–Stokes–Brinkman equationsJournal of Scientific Computing, 95:e79(1–38), 2023[DOI ,URL ,BIB
@article{gnr_jsc23,
 author = {Gatica, Gabriel N and N\'u\~nez, Nicolas and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-023-02202-9},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 pages = {e79(1--38)},
 title = {Mixed-primal methods for natural convection driven phase change with {Navier--Stokes--Brinkman} equations},
 volume = {95},
 year = {2023}
}
]
[111]G. N. Gatica, N. Núñez and R. Ruiz-BaierNew non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spacesJournal of Numerical Mathematics, 31(4):343–373, 2023[DOI ,URL ,BIB
@article{gnr_jnm23,
 author = {Gatica, Gabriel N and N\'u\~nez, Nicol\'as and Ruiz-Baier, Ricardo},
 doi = {10.1515/jnma-2022-0073},
 fjournal = {Journal of Numerical Mathematics},
 journal = {J. Numer. Math.},
 number = {4},
 pages = {343--373},
 title = {New non-augmented mixed finite element methods for the 
{N}avier--{S}tokes--{B}rinkman equations using {B}anach spaces},
 volume = {31},
 year = {2023}
}
]
[110]B. Gómez-Vargas, K. Mardal, R. Ruiz-Baier and V. VinjeTwofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusionSIAM Journal on Numerical Analysis, 63(3):1449–1481, 2023[DOI ,URL ,BIB
@article{gmrv_sinum23,
 author = {G{\'o}mez-Vargas, Bryan and Mardal, Kent-Andr\'e and Ruiz-Baier, Ricardo and Vinje, Vegard},
 doi = {10.1137/21M1449695},
 fjournal = {{SIAM} {J}ournal on {N}umerical {A}nalysis},
 journal = {{SIAM} J. Numer. Anal.},
 number = {3},
 pages = {1449--1481},
 title = {Twofold saddle-point formulation of {B}iot poroelasticity with stress-dependent diffusion},
 volume = {63},
 year = {2023}
}
]
[109]M. Dehghan, Z. Gharibi and R. Ruiz-BaierOptimal error estimates of coupled and divergence-free virtual element methods for the Poisson–Nernst–Planck/Navier–Stokes equations and applications in electrochemical systemsJournal of Scientific Computing, 94:e72(1–50), 2023[DOI ,URL ,BIB
@article{dgr_jsc23,
 author = {Dehghan, Mehdi and Gharibi, Zeinab and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-023-02126-4},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 pages = {e72(1--50)},
 title = {Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson--Nernst--Planck/Navier--Stokes equations and applications in electrochemical systems},
 volume = {94},
 year = {2023}
}
]
[108]C. I. Correa, G. N. Gatica and R. Ruiz-BaierNew mixed finite element methods for the coupled Stokes/ Poisson–Nernst–Planck equations in Banach spacesESAIM: Mathematical Modelling and Numerical Analysis, 57:1511–1551, 2023[DOI ,URL ,BIB
@article{cgr_m2an23,
 author = {Correa, Claudio I and Gatica, Gabriel N and Ruiz-Baier, Ricardo},
 doi = {10.1051/m2an/2023024},
 fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
 journal = {ESAIM: Math. Model. Numer. Anal.},
 pages = {1511--1551},
 title = {New mixed finite element methods for the coupled {Stokes/
Poisson--Nernst--Planck} equations in {B}anach spaces},
 volume = {57},
 year = {2023}
}
]
[107]V. Anaya, R. Caraballo, R. Ruiz-Baier and H. TorresOn augmented finite element formulations for the Navier–Stokes equations with vorticity and variable viscosityComputers & Mathematics with Applications, 143:397–416, 2023[DOI ,URL ,BIB
@article{acrt_camwa23,
 author = {Anaya, Veronica and Caraballo, Ruben and Ruiz-Baier, Ricardo and Torres, Hector},
 doi = {10.1016/j.camwa.2023.05.015},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 pages = {397--416},
 title = {On augmented finite element formulations for the {N}avier--{S}tokes equations with vorticity and variable viscosity},
 volume = {143},
 year = {2023}
}
]
[106]V. Anaya, R. Caraballo, S. Caucao, L. F. Gatica, R. Ruiz-Baier and I. YotovA vorticity-based mixed formulation for the unsteady Brinkman–Forchheimer equationsComputer Methods in Applied Mechanics and Engineering, 404:e115829(1–30), 2023[DOI ,URL ,BIB
@article{accgry_cmame23,
 author = {Anaya, Veronica and Caraballo, Ruben and Caucao, Sergio and Gatica, Luis F and Ruiz-Baier, Ricardo and Yotov, Ivan},
 doi = {10.1016/j.cma.2022.115829},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {e115829(1--30)},
 title = {A vorticity-based mixed formulation for the unsteady {B}rinkman--{F}orchheimer equations},
 volume = {404},
 year = {2023}
}
]

2022

[105]N. Verma, B. Gómez-Vargas, L. M. De Oliveira Vilaca, S. Kumar and R. Ruiz-BaierWell-posedness and discrete analysis for advection-diffusion-reaction in poroelastic mediaApplicable Analysis, 101(14):4914–4941, 2022[DOI ,URL ,BIB
@article{vgdkr_aa22,
 author = {Verma, Nitesh and G{\'o}mez-Vargas, Bryan and De Oliveira Vilaca, Luis Miguel and Kumar, Sarvesh and Ruiz-Baier, Ricardo},
 doi = {10.1080/00036811.2021.1877677},
 fjournal = {Applicable Analysis},
 journal = {Appl. Anal.},
 number = {14},
 pages = {4914--4941},
 title = {Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media},
 volume = {101},
 year = {2022}
}
]
[104]R. Ruiz-Baier, M. Taffetani, H. D. Westermeyer and I. YotovThe Biot–Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eyeComputer Methods in Applied Mechanics and Engineering, 389:e114384(1–30), 2022[DOI ,URL ,BIB
@article{rtwy_cmame22,
 author = {Ruiz-Baier, Ricardo and Taffetani, Matteo and Westermeyer, Hans D. and Yotov, Ivan},
 doi = {10.1016/j.cma.2021.114384},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {e114384(1--30)},
 title = {The Biot--Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye},
 volume = {389},
 year = {2022}
}
]
[103]S. Meddahi and R. Ruiz-BaierA new DG method for a pure–stress formulation of the Brinkman problem with strong symmetryNetworks and Heterogeneous Media, 17(6):893–916, 2022[DOI ,URL ,BIB
@article{mr_nhm22,
 author = {Meddahi, Salim and Ruiz-Baier, Ricardo},
 doi = {10.3934/nhm.2022031},
 fjournal = {Networks and Heterogeneous Media},
 journal = {Netw. Heterog. Media},
 number = {6},
 pages = {893--916},
 title = {A new {DG} method for a pure--stress formulation of the {B}rinkman problem with strong symmetry},
 volume = {17},
 year = {2022}
}
]
[102]W. d. J. Lourenço, R. F. Reis, R. Ruiz-Baier, B. M. Rocha, R. Weber dos Santos and M. LoboscoA poroelastic approach for modelling myocardial oedema in acute myocarditisFrontiers in Physiology, 13:e888515(1–14), 2022[DOI ,URL ,BIB
@article{lrrrwl_frontiers22,
 author = {Louren\c{c}o, Wesley de Jesus and Reis,  Ruy Freitas and Ruiz-Baier, Ricardo and Rocha, Bernardo Martins and Weber dos Santos, Rodrigo and Lobosco, Marcelo},
 doi = {10.3389/fphys.2022.888515},
 fjournal = {Frontiers in Physiology},
 journal = {Front. Physiol.},
 pages = {e888515(1--14)},
 title = {A poroelastic approach for modelling myocardial oedema in acute myocarditis},
 volume = {13},
 year = {2022}
}
]
[101]K. Kaouri, P. E. Méndez and R. Ruiz-BaierMechanochemical models for calcium waves in embryonic epitheliaVietnam Journal of Mathematics, 50:947–975, 2022[DOI ,URL ,BIB
@article{kmr_vjom22,
 author = {Katerina Kaouri and Paul E. M\'endez and Ricardo Ruiz-Baier},
 doi = {10.1007/s10013-022-00579-y},
 fjournal = {Vietnam Journal of Mathematics},
 journal = {Viet. J. Math.},
 pages = {947--975},
 title = {Mechanochemical models for calcium waves in embryonic epithelia},
 volume = {50},
 year = {2022}
}
]
[100]K. Kaouri, N. Christodoulou, A. Chakraborty, P. E. Méndez, P. A. Skourides and R. Ruiz-BaierA new mechanochemical model for apical constriction: coupling calcium dynamics and viscoelasticityFrontiers in Systems Biology, 2:e952790(1–13), 2022[DOI ,URL ,BIB
@article{kccmsr_frontiers22,
 author = {Katerina Kaouri and Neophytos Christodoulou and Abhishek Chakraborty and Paul E. M\'endez and Paris A. Skourides and  Ricardo Ruiz-Baier},
 doi = {10.3389/fsysb.2022.962790},
 fjournal = {Frontiers in Systems Biology},
 journal = {Front. Syst. Biol.},
 pages = {e952790(1--13)},
 title = {A new mechanochemical model for apical constriction: coupling calcium dynamics and viscoelasticity},
 volume = {2},
 year = {2022}
}
]
[99]G. N. Gatica, S. Meddahi and R. Ruiz-BaierAn $\mathrm{L}^p$ spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equationsIMA Journal of Numerical Analysis, 42(4):3154–3206, 2022[DOI ,URL ,BIB
@article{gmr_ima22,
 author = {Gatica, Gabriel N. and Meddahi, Salim and  Ruiz-Baier, Ricardo},
 doi = {10.1093/imanum/drab063},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 number = {4},
 pages = {3154--3206},
 title = {An $\mathrm{L}^p$ spaces-based formulation yielding a new fully mixed finite 
element method for the coupled Darcy and heat equations},
 volume = {42},
 year = {2022}
}
]
[98]G. N. Gatica, C. Inzunza, R. Ruiz-Baier and F. SandovalA posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type modelsJournal of Numerical Mathematics, 30(4):1–32, 2022[DOI ,URL ,BIB
@article{girs_jnm22,
 author = {Gatica, Gabriel N. and Inzunza, Cristian and  Ruiz-Baier, Ricardo and Sandoval, Felipe},
 doi = {10.1515/jnma-2021-0101},
 fjournal = {Journal of Numerical Mathematics},
 journal = {J. Numer. Math.},
 number = {4},
 pages = {1--32},
 title = {A posteriori error analysis of {B}anach spaces-based fully-mixed finite element methods for {B}oussinesq-type models},
 volume = {30},
 year = {2022}
}
]
[97]G. N. Gatica, B. Gómez-Vargas and R. Ruiz-BaierA posteriori error analysis of mixed finite element methods for stress-assisted diffusion problemsJournal of Computational and Applied Mathematics, 409:e114144(1–23), 2022[DOI ,URL ,BIB
@article{ggr_jcam22,
 author = {Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and  Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cam.2022.114144},
 fjournal = {Journal of Computational and Applied Mathematics},
 journal = {J. Comput. Appl. Math.},
 pages = {e114144(1--23)},
 title = {A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems},
 volume = {409},
 year = {2022}
}
]
[96]W. M. Boon, M. Hornkjøl, M. Kuchta, K. Mardal and R. Ruiz-BaierParameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliersJournal of Computational Physics, 467:e111464(1–25), 2022[DOI ,URL ,BIB
@article{bhkmr_jcp22,
 author = {Boon, Wietse M and Hornkj{\o}l, Martin and Kuchta, Miroslav and Mardal, Kent-Andr\'e and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2022.111464},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {e111464(1--25)},
 title = {Parameter-robust methods for the {Biot--Stokes} interfacial coupling without {L}agrange multipliers},
 volume = {467},
 year = {2022}
}
]
[95]N. Barnafi, B. Gómez-Vargas, W. d. J. Lourenço, R. F. Reis, B. M. Rocha, M. Lobosco, R. Ruiz-Baier and R. Weber dos SantosFinite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedemaJournal of Scientific Computing, 92:e92(1–40), 2022[DOI ,URL ,BIB
@article{bglrrlrw_jsc22,
 author = {Barnafi, Nicolas and G\'omez-Vargas, Bryan  and Louren\c{c}o, Wesley de Jesus and Reis,  Ruy Freitas and Rocha, Bernardo Martins and Lobosco, Marcelo and Ruiz-Baier, Ricardo and Weber dos Santos, Rodrigo},
 doi = {10.1007/s10915-022-01944-2},
 fjournal = {Journal of Scientific Computing},
 journal = {J. Sci. Comput.},
 pages = {e92(1--40)},
 title = {Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema},
 volume = {92},
 year = {2022}
}
]
[94]N. A. Barnafi, L. M. De Oliveira Vilaca, M. C. Milinkovitch and R. Ruiz-BaierCoupling chemotaxis and growth poromechanics for the modelling of feather primordia patterningMathematics, 10:e4096(1–25), 2022[DOI ,URL ,BIB
@article{bdmr_math22,
 author = {Barnafi, Nicol\'as A and De Oliveira Vilaca, Luis Miguel and Milinkovitch, Michel C and Ruiz-Baier, Ricardo},
 doi = {10.3390/math10214096},
 fjournal = {Mathematics},
 journal = {Mathematics},
 pages = {e4096(1--25)},
 title = {Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning},
 volume = {10},
 year = {2022}
}
]
[93]V. Anaya, D. Mora, A. K. Pani and R. Ruiz-BaierError analysis for a vorticity/Bernoulli pressure formulation for the Oseen equationsJournal of Numerical Mathematics, 30(3):209–230, 2022[DOI ,URL ,BIB
@article{ampr_jnm22,
 author = {Anaya, Veronica and Mora, David and Pani, Amiya Kumar and Ruiz-Baier, Ricardo},
 doi = {10.1515/jnma-2021-0053},
 fjournal = {Journal of Numerical Mathematics},
 journal = {J. Numer. Math.},
 number = {3},
 pages = {209--230},
 title = {Error analysis for a vorticity/{B}ernoulli pressure formulation for the {O}seen equations},
 volume = {30},
 year = {2022}
}
]
[92]V. Anaya, A. Khan, D. Mora and R. Ruiz-BaierRobust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity couplingSIAM Journal on Scientific Computing, 44(4):B964–B995, 2022[DOI ,URL ,BIB
@article{akmr_sisc22,
 author = {Anaya, Veronica and Khan, Arbaz and Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1137/21M1427516},
 fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
 journal = {{SIAM} J. Sci. Comput.},
 number = {4},
 pages = {B964--B995},
 title = {Robust  a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling},
 volume = {44},
 year = {2022}
}
]

2021

[91]M. Taffetani, R. Ruiz-Baier and S. L. WatersCoupling Stokes flow with inhomogeneous poroelasticityQuarterly Journal of Mechanics and Applied Mathematics, 74(4):411–439, 2021[DOI ,URL ,BIB
@article{trw_qjmam21,
 author = {Matteo Taffetani and Ricardo Ruiz-Baier and Sarah L Waters},
 doi = {10.1093/qjmam/hbab014},
 fjournal = {Quarterly Journal of Mechanics and Applied Mathematics},
 journal = {Quart. J. Mech. Appl. Math.},
 number = {4},
 pages = {411--439},
 title = {Coupling {S}tokes flow with inhomogeneous poroelasticity},
 volume = {74},
 year = {2021}
}
]
[90]A. Khan, M. T. Mohan and R. Ruiz-BaierConforming, nonconforming and DG methods for the stationary generalized Burgers-Huxley equationJournal of Scientific Computing, 88:e52(1–26), 2021[DOI ,URL ,BIB
@article{kmr_jsc21,
 author = {Khan, Arbaz and Mohan, Manil T and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-021-01563-3},
 fjournal = {Journal of Scientific Computing},
 journal = {J. Sci. Comput.},
 pages = {e52(1--26)},
 title = {Conforming, nonconforming and {DG} 
methods for the stationary generalized {Burgers-Huxley} equation},
 volume = {88},
 year = {2021}
}
]
[89]G. N. Gatica, R. Oyarzúa, R. Ruiz-Baier and Y. D. SobralBanach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized bedsComputers & Mathematics with Applications, 84:244–276, 2021[DOI ,URL ,BIB
@article{gors_camwa21,
 author = {Gatica, Gabriel N. and Oyarz\'ua, Ricardo and  Ruiz-Baier, Ricardo and Sobral, Yuri D.},
 doi = {10.1016/j.camwa.2021.01.001},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 pages = {244--276},
 title = {Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds},
 volume = {84},
 year = {2021}
}
]
[88]P. E. Farrell, L. F. Gatica, B. P. Lamichhane, R. Oyarzúa and R. Ruiz-BaierMixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticityComputer Methods in Applied Mechanics and Engineering, 374:e113562(1–24), 2021[DOI ,URL ,BIB
@article{fglor_cmame21,
 author = {Farrell, Patrick E. and Gatica, Luis F. and Lamichhane, Bishnu P.  and Oyarz\'ua, Ricardo and  Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2020.113562},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {e113562(1--24)},
 title = {Mixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticity},
 volume = {374},
 year = {2021}
}
]
[87]R. Bürger, S. Kumar, D. Mora, R. Ruiz-Baier and N. VermaVirtual element methods for the three-field formulation of time-dependent linear poroelasticityAdvances in Computational Mathematics, 47:e2(1–37), 2021[DOI ,URL ,BIB
@article{bkmrv_acom21,
 author = {B\"urger, Raimund and Kumar, Sarvesh and Mora, David and Ruiz-Baier, Ricardo and Verma, Nitesh},
 doi = {10.1007/s10444-020-09826-7},
 fjournal = {Advances in {C}omputational {M}athematics},
 journal = {Adv. Comput. Math.},
 pages = {e2(1--37)},
 title = {Virtual element methods for the three-field formulation 
of time-dependent linear poroelasticity},
 volume = {47},
 year = {2021}
}
]
[86]W. M. Boon, M. Kuchta, K. Mardal and R. Ruiz-BaierRobust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressureSIAM Journal on Scientific Computing, 43(4):B961–B983, 2021[DOI ,URL ,BIB
@article{bkmr_sisc21,
 author = {Wietse M. Boon and Miroslav Kuchta and Kent-Andre Mardal and Ricardo Ruiz-Baier},
 doi = {10.1137/20M1379708},
 fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
 journal = {{SIAM} J. Sci. Comput.},
 number = {4},
 pages = {B961--B983},
 title = {Robust preconditioners for perturbed saddle-point problems and conservative discretizations of {B}iot's equations utilizing total pressure},
 volume = {43},
 year = {2021}
}
]
[85]N. Barnafi, G. N. Gatica, D. E. Hurtado, W. Miranda and R. Ruiz-BaierAdaptive mesh refinement in deformable image registration: A posteriori error estimates for primal and mixed formulationsSIAM Journal on Imaging Sciences, 14(3):1238–1272, 2021[DOI ,URL ,BIB
@article{bghmr_siims21,
 author = {Barnafi, Nicol\'as and Gatica, Gabriel N. and Hurtado, Daniel E. and Miranda, Willian and  Ruiz-Baier, Ricardo},
 doi = {10.1137/20M1364333},
 fjournal = {SIAM Journal on Imaging Sciences},
 journal = {SIAM J. Imag. Sci.},
 number = {3},
 pages = {1238--1272},
 title = {Adaptive mesh refinement in deformable image registration: {A} posteriori error estimates for primal and mixed formulations},
 volume = {14},
 year = {2021}
}
]
[84]N. Barnafi, G. N. Gatica, D. E. Hurtado, W. Miranda and R. Ruiz-BaierNew primal and dual-mixed finite element methods for stable image registration with singular regularizationMathematical Models and Methods in Applied Sciences, 31(5):979–1020, 2021[DOI ,URL ,BIB
@article{bghmr_m3as21,
 author = {Barnafi, Nicol\'as and Gatica, Gabriel N. and Hurtado, Daniel E. and Miranda, Willian and  Ruiz-Baier, Ricardo},
 doi = {10.1142/S021820252150024X},
 fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
 journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
 number = {5},
 pages = {979--1020},
 publisher = {World Scientific Publishing},
 title = {New primal and dual-mixed finite element methods for stable image registration with singular regularization},
 volume = {31},
 year = {2021}
}
]
[83]G. Baird, R. Bürger, P. E. Méndez and R. Ruiz-BaierSecond-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filtersNumerische Mathematik, 147(2):431–479, 2021[DOI ,URL ,BIB
@article{bbmr_nm21,
 author = {Baird, Graham and B\"urger, Raimund and M\'endez, Paul E. and  Ruiz-Baier, Ricardo},
 doi = {10.1007/s00211-020-01169-1},
 fjournal = {Numerische Mathematik},
 journal = {Numer. Math.},
 number = {2},
 pages = {431--479},
 title = {Second-order schemes for axisymmetric {N}avier-{S}tokes-{B}rinkman and transport equations modelling water filters},
 volume = {147},
 year = {2021}
}
]
[82]M. Álvarez, G. N. Gatica and R. Ruiz-BaierA mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transportIMA Journal of Numerical Analysis, 41(1):381–411, 2021[DOI ,URL ,BIB
@article{agr_ima21,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and  Ruiz-Baier, Ricardo},
 doi = {10.1093/imanum/drz060},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 number = {1},
 pages = {381--411},
 title = {A mixed-primal finite element method for the coupling 
of {Brinkman-Darcy} flow and nonlinear transport},
 volume = {41},
 year = {2021}
}
]
[81]V. Anaya, R. Caraballo, B. Gómez-Vargas, D. Mora and R. Ruiz-BaierVelocity-vorticity-pressure formulation for the Oseen problem with variable viscosityCalcolo, 58(4):e44(1–25), 2021[DOI ,URL ,BIB
@article{acgmr_calcolo21,
 author = {Anaya, Veronica  and Caraballo, Ruben and G{\'o}mez-Vargas, Bryan and Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10092-021-00433-6},
 fjournal = {Calcolo},
 journal = {Calcolo},
 number = {4},
 pages = {e44(1--25)},
 title = {Velocity-vorticity-pressure formulation for the {O}seen problem with variable viscosity},
 volume = {58},
 year = {2021}
}
]

2020

[80]R. Ruiz-Baier, A. Gizzi, A. Loppini, C. Cherubini and S. FilippiModelling thermo-electro-mechanical effects in orthotropic cardiac tissueCommunications in Computational Physics, 27(1):87–115, 2020[DOI ,URL ,BIB
@article{rglcf_cicp20,
 author = {Ruiz-Baier, Ricardo and Gizzi, Alessio and Loppini, Alessandro
and Cherubini, Christian and Filippi, Simonetta},
 doi = {10.4208/cicp.OA-2018-0253},
 fjournal = {Communications in Computational Physics},
 journal = {Comm. Comput. Phys.},
 number = {1},
 pages = {87--115},
 title = {Modelling thermo-electro-mechanical effects in orthotropic cardiac tissue},
 volume = {27},
 year = {2020}
}
]
[79]A. Propp, A. Gizzi, F. Levrero-Florencio and R. Ruiz-BaierAn orthotropic electro-viscoelastic model for the heart with stress-assisted diffusionBiomechanics and Modeling in Mechanobiology, 19(2):633–659, 2020[DOI ,URL ,BIB
@article{pglr_bmmb20,
 author = {Propp, Adrienne and Gizzi, Alessio and Levrero-Florencio, Francesc and
Ruiz-Baier, Ricardo},
 doi = {10.1007/s10237-019-01237-y},
 fjournal = {Biomechanics and Modeling in Mechanobiology},
 journal = {Biomech. Model. Mechanobiol.},
 number = {2},
 pages = {633--659},
 title = {An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion},
 volume = {19},
 year = {2020}
}
]
[78]F. Levrero-Florencio, F. Margara, E. Zacur, A. Bueno-Orovio, Z. J. Wang, A. Santiago, J. Aguado-Sierra, G. Houzeaux, V. Grau, D. Kay, M. Vázquez, R. Ruiz-Baier and B. RodriguezSensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: effect of mechanical parameters on physiologically relevant biomarkersComputer Methods in Applied Mechanics and Engineering, 361:e112762(1–31), 2020[DOI ,URL ,BIB
@article{lmzbwsahgkvrr_cmame20,
 author = {Levrero-Florencio, Francesc and Margara, Francesca and Zacur, Ernesto and Bueno-Orovio, Alfonso and Wang, Zhinuo J. and Santiago, Alfonso and Aguado-Sierra, Jazmin and Houzeaux, Guillaume and Grau, Vicente and Kay, David and V\'azquez, Mariano and Ruiz-Baier, Ricardo and Rodriguez, Blanca},
 doi = {10.1016/j.cma.2019.112762},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {e112762(1--31)},
 title = {Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: effect of mechanical parameters on physiologically relevant biomarkers},
 volume = {361},
 year = {2020}
}
]
[77]S. Kumar, R. Oyarzúa, R. Ruiz-Baier and R. SandilyaConservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticityESAIM: Mathematical Modelling and Numerical Analysis, 54(1):273–299, 2020[DOI ,URL ,BIB
@article{kors_m2an20,
 author = {Kumar, Sarvesh and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo and Sandilya, Ruchi},
 doi = {10.1051/m2an/2019063},
 fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
 journal = {ESAIM: Math. Model. Numer. Anal.},
 number = {1},
 pages = {273--299},
 title = {Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity},
 volume = {54},
 year = {2020}
}
]
[76]L. M. De Oliveira Vilaca, B. Gómez-Vargas, S. Kumar, R. Ruiz-Baier and N. VermaStability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissueApplied Mathematical Modelling, 84:425–446, 2020[DOI ,URL ,BIB
@article{dgkrv_amm20,
 author = {De Oliveira Vilaca, Luis Miguel and G{\'o}mez-Vargas, Bryan and Kumar, Sarvesh and Ruiz-Baier, Ricardo and Verma, Nitesh},
 doi = {10.1016/j.apm.2020.04.014},
 fjournal = {Applied Mathematical Modelling},
 journal = {Appl. Math. Model.},
 pages = {425--446},
 title = {Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue},
 volume = {84},
 year = {2020}
}
]
[75]E. Colmenares, G. N. Gatica, S. Moraga and R. Ruiz-BaierA fully-mixed finite element method for the steady-state Oberbeck-Boussinesq systemThe SMAI Journal of Computational Mathematics, 6:125–157, 2020[DOI ,URL ,BIB
@article{cgmr_jcm20,
 author = {Colmenares, Eligio and Gatica, Gabriel N. and Moraga,  Sebastian and  Ruiz-Baier, Ricardo},
 doi = {10.5802/smai-jcm.64},
 fjournal = {The SMAI Journal of Computational Mathematics},
 journal = {SMAI J. Comput. Math.},
 pages = {125--157},
 title = {A fully-mixed finite element method for the steady-state {O}berbeck-{B}oussinesq system},
 volume = {6},
 year = {2020}
}
]
[74]R. Bürger, P. E. Méndez and R. Ruiz-BaierConvergence of H(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rakeComputer Methods in Applied Mechanics and Engineering, 367:e113130(1–24), 2020[DOI ,URL ,BIB
@article{bmr_cmame20,
 author = {B\"urger, Raimund and M\'endez, Paul E. and  Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2020.113130},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {e113130(1--24)},
 title = {Convergence of {H}(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake},
 volume = {367},
 year = {2020}
}
]
[73]J. Almonacid, G. N. Gatica and R. Ruiz-BaierUltra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanicsCalcolo, 57:e2(1–25), 2020[DOI ,URL ,BIB
@article{agr_calcolo20,
 author = {Almonacid, Javier and Gatica, Gabriel N. and  Ruiz-Baier, Ricardo},
 doi = {10.1007/s10092-019-0351-2},
 fjournal = {Calcolo},
 journal = {Calcolo},
 pages = {e2(1--25)},
 title = {Ultra-weak symmetry of stress for augmented mixed finite element formulations 
in continuum mechanics},
 volume = {57},
 year = {2020}
}
]
[72]J. Almonacid, G. N. Gatica, R. Oyarzúa and R. Ruiz-BaierA new mixed finite element method for the $n$-dimensional Boussinesq problem with temperature-dependent viscosityNetworks and Heterogeneous Media, 15(2):215–245, 2020[DOI ,URL ,BIB
@article{agor_nhm20,
 author = {Almonacid, Javier and Gatica, Gabriel N. and Oyarz\'ua, Ricardo and  Ruiz-Baier, Ricardo},
 doi = {10.3934/nhm.2020010},
 fjournal = {Networks and Heterogeneous Media},
 journal = {Netw. Heterog. Media},
 number = {2},
 pages = {215--245},
 title = {A new mixed finite element method for the $n$-dimensional {B}oussinesq problem with temperature-dependent viscosity},
 volume = {15},
 year = {2020}
}
]
[71]V. Anaya, Z. De Wijn, B. Gómez-Vargas, D. Mora and R. Ruiz-BaierRotation-based mixed formulations for an elasticity-poroelasticity interface problemSIAM Journal on Scientific Computing, 42(1):B225–B249, 2020[DOI ,URL ,BIB
@article{adgmr_sisc20,
 author = {Anaya, Ver\'onica and De Wijn, Zoa and G{\'o}mez-Vargas, Bryan and
Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1137/19M1268343},
 fjournal = {SIAM Journal on {S}cientific {C}omputing},
 journal = {SIAM J. Sci. Comput.},
 number = {1},
 pages = {B225--B249},
 title = {Rotation-based mixed formulations for an elasticity-poroelasticity interface problem},
 volume = {42},
 year = {2020}
}
]

2019

[70]J. Woodfield, M. Álvarez, B. Gómez-Vargas and R. Ruiz-BaierStability and finite element approximation of phase change models for natural convection in porous mediaJournal of Computational and Applied Mathematics, 360:117–137, 2019[DOI ,URL ,BIB
@article{wagr_jcam19,
 author = {Woodfield, James and \'Alvarez, Mario and G{\'o}mez-Vargas, Bryan and  Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cam.2019.04.003},
 fjournal = {Journal of Computational and Applied Mathematics},
 journal = {J. Comput. Appl. Math.},
 pages = {117--137},
 title = {Stability and finite element approximation of phase change models for natural convection in porous media},
 volume = {360},
 year = {2019}
}
]
[69]S. Kumar, R. Ruiz-Baier and R. SandilyaError bounds for discontinuous finite volume discretisations of Brinkman optimal control problemsJournal of Scientific Computing, 78(1):74–93, 2019[DOI ,URL ,BIB
@article{krs_jsc19,
 author = {Kumar, Sarvesh and Ruiz-Baier, Ricardo and Sandilya, Ruchi},
 doi = {10.1007/s10915-018-0749-z},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 number = {1},
 pages = {74--93},
 title = {Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems},
 volume = {78},
 year = {2019}
}
]
[68]G. N. Gatica, B. Gómez-Vargas and R. Ruiz-BaierFormulation and analysis of fully-mixed finite element methods for stress-assisted diffusion problemsComputers & Mathematics with Applications, 77(5):1312–1330, 2019[DOI ,URL ,BIB
@article{ggr_camwa19,
 author = {Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and  Ruiz-Baier, Ricardo},
 doi = {10.1016/j.camwa.2018.11.008},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 number = {5},
 pages = {1312--1330},
 title = {Formulation and analysis of fully-mixed
finite element methods for stress-assisted diffusion problems},
 volume = {77},
 year = {2019}
}
]
[67]L. M. De Oliveira Vilaca, M. C. Milinkovitch and R. Ruiz-BaierNumerical approximation of a 3D mechanochemical interface model for skin patterningJournal of Computational Physics, 384:383–404, 2019[DOI ,URL ,BIB
@article{dmr_jcp19,
 author = {De Oliveira Vilaca, Luis Miguel and Milinkovitch, Michel C. and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2019.01.023},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {383--404},
 title = {Numerical approximation of a {3D} mechanochemical interface model for skin patterning},
 volume = {384},
 year = {2019}
}
]
[66]R. Bürger, P. E. Méndez and R. Ruiz-BaierOn H(div)-conforming methods for double-diffusion equations in porous mediaSIAM Journal on Numerical Analysis, 57(3):1318–1343, 2019[DOI ,URL ,BIB
@article{bmr_sinum19,
 author = {B\"urger, Raimund and M\'endez, Paul E. and  Ruiz-Baier, Ricardo},
 doi = {10.1137/18M1196108},
 fjournal = {{SIAM} {J}ournal on {N}umerical {A}nalysis},
 journal = {{SIAM} J. Numer. Anal.},
 number = {3},
 pages = {1318--1343},
 title = {On H(div)-conforming methods for double-diffusion equations in porous media},
 volume = {57},
 year = {2019}
}
]
[65]V. Anaya, D. Mora, C. Reales and R. Ruiz-BaierA vorticity-pressure finite element formulation for the Brinkman-Darcy coupled problemNumerical Methods for Partial Differential Equations, 35(2):528–544, 2019[DOI ,URL ,BIB
@article{amrr_nmpde19,
 author = {Anaya, Ver\'onica and Mora, David  and Reales, Carlos and Ruiz-Baier, Ricardo},
 doi = {10.1002/num.22312},
 fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
 journal = {Numer. Methods Part. Diff. Eqns.},
 number = {2},
 pages = {528--544},
 title = {A vorticity-pressure finite element formulation
for the {B}rinkman-{D}arcy coupled problem},
 volume = {35},
 year = {2019}
}
]
[64]V. Anaya, B. Gómez-Vargas, D. Mora and R. Ruiz-BaierIncorporating variable viscosity in vorticity-based formulations for Brinkman equationsComptes Rendus Mathématiques, 357(6):552–560, 2019[DOI ,URL ,BIB
@article{agmr_crm19,
 author = {Anaya, Ver\'onica and G{\'o}mez-Vargas, Bryan and
Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.crma.2019.06.006},
 fjournal = {Comptes Rendus Math\'ematiques},
 journal = {C. R. Acad. Sci. Paris, Ser. I},
 number = {6},
 pages = {552--560},
 title = {Incorporating variable viscosity in vorticity-based 
formulations for {B}rinkman equations},
 volume = {357},
 year = {2019}
}
]
[63]M. Álvarez, G. N. Gatica, B. Gómez-Vargas and R. Ruiz-BaierNew mixed finite element methods for natural convection with phase-change in porous mediaJournal of Scientific Computing, 80(1):141–174, 2019[DOI ,URL ,BIB
@article{aggr_jsc19,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and  Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-019-00931-4},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 number = {1},
 pages = {141--174},
 title = {New mixed finite element methods for natural convection with phase-change in porous media},
 volume = {80},
 year = {2019}
}
]
[62]V. Anaya, Z. De Wijn, D. Mora and R. Ruiz-BaierMixed displacement-rotation-pressure formulations for linear elasticityComputer Methods in Applied Mechanics and Engineering, 344:71–94, 2019[DOI ,URL ,BIB
@article{admr_cmame19,
 author = {Anaya, Ver\'onica and De Wijn, Zoa and Mora, David  and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2018.09.029},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {71--94},
 title = {Mixed displacement-rotation-pressure formulations for linear elasticity},
 volume = {344},
 year = {2019}
}
]
[61]V. Anaya, A. Bouharguane, D. Mora, C. Reales, R. Ruiz-Baier, N. Seloula and H. TorresAnalysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equationsJournal of Scientific Computing, 80(3):1577–1606, 2019[DOI ,URL ,BIB
@article{abmrrst_jsc19,
 author = {Anaya, Ver\'onica and Bouharguane, Afaf and
Mora, David and Reales, Carlos and Ruiz-Baier, Ricardo and Seloula, Nour
and Torres, H\'ector},
 doi = {10.1007/s10915-019-00990-7},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 number = {3},
 pages = {1577--1606},
 title = {Analysis and approximation of a vorticity-velocity-pressure
formulation for the {O}seen equations},
 volume = {80},
 year = {2019}
}
]

2018

[60]A. Loppini, A. Gizzi, R. Ruiz-Baier, C. Cherubini, F. H. Fenton and S. FilippiCompeting mechanisms of stress-assisted diffusivity and stretch-activated currents in cardiac electromechanicsFrontiers in Physiology, 9:e1714(1–16), 2018[DOI ,URL ,BIB
@article{lgrcff_frontiers18,
 author = {Loppini, Alessandro and Gizzi, Alessio 
and  Ruiz-Baier, Ricardo  and Cherubini, Christian and Fenton, Flavio H. 
and Filippi, Simonetta},
 doi = {10.3389/fphys.2018.01714},
 fjournal = {Frontiers in Physiology},
 journal = {Front. Physiol.},
 pages = {e1714(1--16)},
 title = {Competing mechanisms of stress-assisted diffusivity and stretch-activated currents in cardiac electromechanics},
 volume = {9},
 year = {2018}
}
]
[59]S. Kumar, R. Ruiz-Baier and R. SandilyaMixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous mediaComputers & Mathematics with Applications, 76(4):923–937, 2018[DOI ,URL ,BIB
@article{krs_camwa18,
 author = {Kumar, Sarvesh and  Ruiz-Baier, Ricardo and Sandilya, Ruchi},
 doi = {10.1016/j.camwa.2018.05.031},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 number = {4},
 pages = {923--937},
 title = {Mixed and discontinuous finite volume element schemes for the
optimal control of immiscible flow in porous media},
 volume = {76},
 year = {2018}
}
]
[58]G. N. Gatica, B. Gómez-Vargas and R. Ruiz-BaierAnalysis and mixed-primal finite element discretisations for stress-assisted diffusion problemsComputer Methods in Applied Mechanics and Engineering, 337:411–438, 2018[DOI ,URL ,BIB
@article{ggr_cmame18,
 author = {Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and  Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2018.03.043},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {411--438},
 title = {Analysis and mixed-primal finite element discretisations 
for stress-assisted diffusion problems},
 volume = {337},
 year = {2018}
}
]
[57]J. Camaño, R. Oyarzúa, R. Ruiz-Baier and G. TierraError analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditionsIMA Journal of Numerical Analysis, 38(3):1452–1484, 2018[DOI ,URL ,BIB
@article{cort_ima18,
 author = {Cama\~no, Jessika and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo and Tierra, Giordano},
 doi = {10.1093/imanum/drx039},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 number = {3},
 pages = {1452--1484},
 title = {Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions},
 volume = {38},
 year = {2018}
}
]
[56]R. Bürger, S. Kumar Kenettinkara, R. Ruiz-Baier and H. TorresCoupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorptionSIAM Journal on Scientific Computing, 40(2):B637–B662, 2018[DOI ,URL ,BIB
@article{bkrt_sisc18,
 author = {B\"urger, Raimund and Kumar Kenettinkara, Sudarshan  and Ruiz-Baier, Ricardo and Torres, H\'ector},
 doi = {10.1137/17M1125820},
 fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
 journal = {{SIAM} J. Sci. Comput.},
 number = {2},
 pages = {B637--B662},
 title = {Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption},
 volume = {40},
 year = {2018}
}
]
[55]M. Álvarez, G. N. Gatica and R. Ruiz-BaierA posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systemsJournal of Computational Physics, 367:332–346, 2018[DOI ,URL ,BIB
@article{agr_jcp18,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2018.04.040},
 fjournal = {{J}ournal of {C}omputational {P}hysics},
 journal = {{J}. {C}omput. {P}hys.},
 pages = {332--346},
 title = {A posteriori error estimation for an augmented mixed-primal
method applied to sedimentation-consolidation systems},
 volume = {367},
 year = {2018}
}
]
[54]V. Anaya, M. Bendahmane, D. Mora and R. Ruiz-BaierOn a vorticity-based formulation for reaction-diffusion-Brinkman systemsNetworks and Heterogeneous Media, 13(1):69–94, 2018[DOI ,URL ,BIB
@article{abmr_nhm18,
 author = {Anaya, Ver\'onica and Bendahmane, Mostafa and Mora, David  and Ruiz-Baier, Ricardo},
 doi = {10.3934/nhm.2018004},
 fjournal = {Networks and Heterogeneous Media},
 journal = {Netw. Heterog. Media},
 number = {1},
 pages = {69--94},
 title = {On a vorticity-based formulation for reaction-diffusion-{B}rinkman systems},
 volume = {13},
 year = {2018}
}
]

2017

[53]A. Quarteroni, T. Lassila, S. Rossi and R. Ruiz-BaierIntegrated Heart – Coupled multiscale and multiphysics models for the simulation of the cardiac functionComputer Methods in Applied Mechanics and Engineering, 314:345–407, 2017[DOI ,URL ,BIB
@article{qlrr_cmame17,
 author = {Quarteroni, Alfio and Lassila, Toni and Rossi, Simone and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2016.05.031},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {345--407},
 title = {Integrated Heart -- Coupled multiscale and multiphysics models for
the simulation of the cardiac function},
 volume = {314},
 year = {2017}
}
]
[52]P. Lenarda, M. Paggi and R. Ruiz-BaierPartitioned coupling of advection-diffusion-reaction systems and Brinkman flowsJournal of Computational Physics, 344:281–302, 2017[DOI ,URL ,BIB
@article{lpr_jcp17,
 author = {Lenarda, Pietro and Paggi, Marco  and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2017.05.011},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {281--302},
 title = {Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows},
 volume = {344},
 year = {2017}
}
]
[51]A. Gizzi, A. Loppini, R. Ruiz-Baier, A. Ippolito, A. Camassa, A. La Camera, E. Emmi, L. Di Perna, V. Garofalo, C. Cherubini and S. FilippiNonlinear diffusion and thermo-electric coupling in a two-variable model of cardiac action potentialChaos, 27:e093919(1–11), 2017[DOI ,URL ,BIB
@article{gizzi_chaos17,
 author = {Gizzi, Alessio and Loppini, Alessandro and Ruiz-Baier, Ricardo and Ippolito, Alberto and Camassa, Alessandro and La Camera, Angelica and Emmi, Emanuela and Di Perna, L. and Garofalo, V. and Cherubini, Christian and Filippi, Simonetta},
 doi = {10.1063/1.4999610},
 fjournal = {Chaos},
 journal = {Chaos},
 pages = {e093919(1--11)},
 title = {Nonlinear diffusion and thermo-electric coupling in a two-variable model of cardiac action potential},
 volume = {27},
 year = {2017}
}
]
[50]J. Camaño, R. Oyarzúa, G. N. Gatica and R. Ruiz-BaierAn augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosityNumerical Methods for Partial Differential Equations, 33(5):1692–1725, 2017[DOI ,URL ,BIB
@article{cgor_nmpde17,
 author = {Cama\~no, Jessika and Oyarz\'ua, Ricardo and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1002/num.22166},
 fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
 journal = {Numer. Methods Part. Diff. Eqns.},
 number = {5},
 pages = {1692--1725},
 title = {An augmented stress-based mixed finite element method
for the steady state Navier-Stokes equations with nonlinear viscosity},
 volume = {33},
 year = {2017}
}
]
[49]C. Cherubini, S. Filippi, A. Gizzi and R. Ruiz-BaierA note on stress-driven anisotropic diffusion and its role in active deformable mediaJournal of Theoretical Biology, 430(7):221–228, 2017[DOI ,URL ,BIB
@article{cfgr_jtb17,
 author = {Cherubini, Christian and Filippi, Simonetta and Gizzi, Alessio and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jtbi.2017.07.013},
 fjournal = {Journal of Theoretical Biology},
 journal = {J. Theor. Biol.},
 number = {7},
 pages = {221--228},
 title = {A note on stress-driven anisotropic diffusion and its role in active
deformable media},
 volume = {430},
 year = {2017}
}
]
[48]R. Bürger, R. Ruiz-Baier and C. TianStability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey modelMathematics and Computers in Simulation, 132:28–52, 2017[DOI ,URL ,BIB
@article{brt_matcom17,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Tian, Canrong},
 doi = {10.1016/j.matcom.2016.06.002},
 fjournal = {Mathematics and {C}omputers in {S}imulation},
 journal = {Math. Comput. Simul.},
 pages = {28--52},
 title = {Stability analysis and finite volume element discretization for  
delay-driven spatio-temporal  patterns in a predator-prey model},
 volume = {132},
 year = {2017}
}
]
[47]V. Anaya, D. Mora, C. Reales and R. Ruiz-BaierMixed methods for a stream-function–vorticity formulation of the axisymmetric Brinkman equationsJournal of Scientific Computing, 71(1):348–364, 2017[DOI ,URL ,BIB
@article{amrr_jsc17,
 author = {Anaya, Ver\'onica and Mora, David and Reales, Carlos and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-016-0302-x},
 fjournal = {Journal of {S}cientific {C}omputing},
 journal = {J. Sci. Comput.},
 number = {1},
 pages = {348--364},
 title = {Mixed methods for a stream-function--vorticity 
formulation of the axisymmetric {B}rinkman equations},
 volume = {71},
 year = {2017}
}
]
[46]V. Anaya, D. Mora and R. Ruiz-BaierPure vorticity formulation and Galerkin discretization for the Brinkman equationsIMA Journal of Numerical Analysis, 37(4):2020–2041, 2017[DOI ,URL ,BIB
@article{amr_ima17,
 author = {Anaya, Ver\'onica and Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1093/imanum/drw056},
 fjournal = {IMA Journal of Numerical Analysis},
 journal = {IMA J. Numer. Anal.},
 number = {4},
 pages = {2020--2041},
 title = {Pure vorticity formulation and Galerkin discretization for the Brinkman equations},
 volume = {37},
 year = {2017}
}
]
[45]M. Álvarez, G. N. Gatica and R. Ruiz-BaierA posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problemCalcolo, 54(4):1491–1519, 2017[DOI ,URL ,BIB
@article{agr_calcolo17,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10092-017-0238-z},
 fjournal = {Calcolo},
 journal = {Calcolo},
 number = {4},
 pages = {1491--1519},
 title = {A posteriori error analysis of a fully-mixed formulation 
for the {Brinkman-Darcy} problem},
 volume = {54},
 year = {2017}
}
]

2016

[44]R. Ruiz-Baier and I. LunatiMixed finite element – discontinuous finite volume element discretization of a general class of multicontinuum modelsJournal of Computational Physics, 322:666–688, 2016[DOI ,URL ,BIB
@article{rl_jcp16,
 author = {Ruiz-Baier, Ricardo and Lunati, Ivan},
 doi = {10.1016/j.jcp.2016.06.054},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {666--688},
 title = {Mixed finite element -- discontinuous finite volume element discretization of a general class of multicontinuum models},
 volume = {322},
 year = {2016}
}
]
[43]R. Oyarzúa and R. Ruiz-BaierLocking-free finite element methods for poroelasticitySIAM Journal on Numerical Analysis, 54(5):2951–2973, 2016[DOI ,URL ,BIB
@article{or_sinum16,
 author = {Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo},
 doi = {10.1137/15M1050082},
 fjournal = {SIAM {J}ournal on {N}umerical {A}nalysis},
 journal = {SIAM J. Numer. Anal.},
 number = {5},
 pages = {2951--2973},
 title = {Locking-free finite element methods for poroelasticity},
 volume = {54},
 year = {2016}
}
]
[42]G. N. Gatica, R. Ruiz-Baier and G. TierraA mixed finite element method for the Darcy equations with pressure-dependent porosityMathematics of Computation, 85(297):1–33, 2016[DOI ,URL ,BIB
@article{grt_mc16,
 author = {Gatica, Gabriel N. and Ruiz-Baier, Ricardo and Tierra, Giordano},
 doi = {10.1090/mcom/2980},
 fjournal = {Mathematics of Computation},
 journal = {Math. Comp.},
 number = {297},
 pages = {1--33},
 title = {A mixed finite element method for the Darcy equations with pressure-dependent porosity},
 volume = {85},
 year = {2016}
}
]
[41]G. N. Gatica, R. Ruiz-Baier and G. TierraA posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosityComputers & Mathematics with Applications, 72(9):2289–2310, 2016[DOI ,URL ,BIB
@article{grt_cma16,
 author = {Gatica, Gabriel N. and Ruiz-Baier, Ricardo and Tierra, Giordano},
 doi = {10.1016/j.camwa.2016.08.032},
 fjournal = {Computers \& Mathematics with Applications},
 journal = {Comput. Math. Appl.},
 number = {9},
 pages = {2289--2310},
 title = {A posteriori error analysis of an augmented mixed 
method for the Navier-Stokes equations with nonlinear viscosity},
 volume = {72},
 year = {2016}
}
]
[40]M. Bendahmane, R. Ruiz-Baier and C. TianTuring pattern dynamics and adaptive discretization of a superdiffusive Lotka-Volterra systemJournal of Mathematical Biology, 72:1441–1465, 2016[DOI ,URL ,BIB
@article{brt_jmb16,
 author = {Bendahmane, Mostafa and Ruiz-Baier, Ricardo and Tian, Canrong},
 doi = {10.1007/s00285-015-0917-9},
 fjournal = {{J}ournal of {M}athematical {B}iology},
 journal = {J. Math. Biol.},
 pages = {1441--1465},
 title = {Turing pattern dynamics and 
adaptive discretization of a superdiffusive Lotka-Volterra system},
 volume = {72},
 year = {2016}
}
]
[39]R. Bürger, S. Kumar, S. Kumar Kenettinkara and R. Ruiz-BaierDiscontinuous approximation of viscous two-phase flow in heterogeneous porous mediaJournal of Computational Physics, 321:126–150, 2016[DOI ,URL ,BIB
@article{bkkr_jcp16,
 author = {B\"urger, Raimund and Kumar, Sarvesh and Kumar Kenettinkara, Sudarshan  and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2016.05.043},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {126--150},
 title = {Discontinuous approximation of viscous two-phase flow in heterogeneous porous
media},
 volume = {321},
 year = {2016}
}
]
[38]V. Anaya, D. Mora, R. Oyarzúa and R. Ruiz-BaierA priori and a posteriori error analysis of a mixed scheme for the Brinkman problemNumerische Mathematik, 133(4):781–817, 2016[DOI ,URL ,BIB
@article{amor_nm16,
 author = {Anaya, Ver\'onica and Mora, David and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo},
 doi = {10.1007/s00211-015-0758-x},
 fjournal = {Numerische {M}athematik},
 journal = {Numer. Math.},
 number = {4},
 pages = {781--817},
 title = {A priori and a posteriori error analysis of a mixed scheme for the {B}rinkman problem},
 volume = {133},
 year = {2016}
}
]
[37]M. Álvarez, G. N. Gatica and R. Ruiz-BaierMixed-primal finite element approximation of a steady sedimentation-consolidation systemMathematical Models and Methods in Applied Sciences, 26(5):867–900, 2016[DOI ,URL ,BIB
@article{agr_m3as16,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1142/S0218202516500202},
 fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
 journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
 number = {5},
 pages = {867--900},
 publisher = {World Scientific Publishing},
 title = {Mixed-primal finite element approximation of a steady  
sedimentation-consolidation system},
 volume = {26},
 year = {2016}
}
]
[36]M. Álvarez, G. N. Gatica and R. Ruiz-BaierA posteriori error analysis for a viscous flow – transport problemESAIM: Mathematical Modelling and Numerical Analysis, 50(6):1789–1816, 2016[DOI ,URL ,BIB
@article{agr_m2an16,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1051/m2an/2016007},
 fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
 journal = {ESAIM: Math. Model. Numer. Anal.},
 number = {6},
 pages = {1789--1816},
 title = {A posteriori error analysis for a viscous flow -- transport problem},
 volume = {50},
 year = {2016}
}
]
[35]M. Álvarez, G. N. Gatica and R. Ruiz-BaierA vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problemComputer Methods in Applied Mechanics and Engineering, 307:68–95, 2016[DOI ,URL ,BIB
@article{agr_cmame16,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2016.04.017},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {68--95},
 title = {A vorticity-based fully-mixed formulation for the {3D} {B}rinkman-{D}arcy problem},
 volume = {307},
 year = {2016}
}
]

2015

[34]R. Ruiz-BaierPrimal-mixed formulations for reaction-diffusion systems on deforming domainsJournal of Computational Physics, 299:320–338, 2015[DOI ,URL ,BIB
@article{ruiz_jcp15,
 author = {Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2015.07.018},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {320--338},
 title = {Primal-mixed formulations for reaction-diffusion 
systems on deforming domains},
 volume = {299},
 year = {2015}
}
]
[33]R. Ruiz-Baier and H. TorresNumerical solution of a multidimensional sedimentation problem using finite volume-element methodsApplied Numerical Mathematics, 95:280–291, 2015[DOI ,URL ,BIB
@article{rt_apnum15,
 author = {Ruiz-Baier, Ricardo and Torres, H\'ector},
 doi = {10.1016/j.apnum.2013.12.006},
 fjournal = {Applied Numerical Mathematics},
 journal = {Appl. Numer. Math.},
 pages = {280--291},
 title = {Numerical solution of a multidimensional sedimentation
problem using finite volume-element methods},
 volume = {95},
 year = {2015}
}
]
[32]S. Kumar and R. Ruiz-BaierEqual order discontinuous finite volume element methods for the Stokes problemJournal of Scientific Computing, 65(3):956–978, 2015[DOI ,URL ,BIB
@article{kr_jsc15,
 author = {Kumar, Sarvesh and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10915-015-9993-7},
 fjournal = {Journal of Scientific Computing},
 journal = {J. Sci. Comput.},
 number = {3},
 pages = {956--978},
 title = {Equal order discontinuous finite volume element methods for the {S}tokes problem},
 volume = {65},
 year = {2015}
}
]
[31]M. Dupraz, S. Filippi, A. Gizzi, A. Quarteroni and R. Ruiz-BaierFinite element and finite volume-element simulation of pseudo-ECGs and cardiac alternansMathematical Methods in the Applied Sciences, 38(6):1046–1058, 2015[DOI ,URL ,BIB
@article{dfgqr_mmas15,
 author = {Dupraz, Marie and Filippi, Simonetta and Gizzi, Alessio and
Quarteroni, Alfio and Ruiz-Baier, Ricardo},
 doi = {10.1002/mma.3127},
 fjournal = {Mathematical Methods in the Applied Sciences},
 journal = {Math. Methods Appl. Sci.},
 number = {6},
 pages = {1046--1058},
 title = {Finite element and finite volume-element simulation of
pseudo-ECGs and cardiac alternans},
 volume = {38},
 year = {2015}
}
]
[30]J. Camaño, R. Oyarzúa, G. N. Gatica, R. Ruiz-Baier and P. VenegasNew fully-mixed finite element methods for the Stokes-Darcy couplingComputer Methods in Applied Mechanics and Engineering, 295:362–395, 2015[DOI ,URL ,BIB
@article{cgorv_cmame15,
 author = {Cama\~no, Jessika and Oyarz\'ua, Ricardo and Gatica, Gabriel N. and Ruiz-Baier, Ricardo 
and Venegas, Pablo},
 doi = {10.1016/j.cma.2015.07.007},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {362--395},
 title = {New fully-mixed finite element methods 
for the Stokes-Darcy coupling},
 volume = {295},
 year = {2015}
}
]
[29]R. Bürger, S. Kumar and R. Ruiz-BaierDiscontinuous finite volume element discretization for coupled flow–transport problems arising in models of sedimentationJournal of Computational Physics, 299:446–471, 2015[DOI ,URL ,BIB
@article{bkr_jcp15,
 author = {B\"urger, Raimund and Kumar, Sarvesh and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jcp.2015.07.020},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {446--471},
 title = {Discontinuous finite volume element 
discretization for coupled flow--transport problems arising in models of sedimentation},
 volume = {299},
 year = {2015}
}
]
[28]V. Anaya, D. Mora, C. Reales and R. Ruiz-BaierStabilized mixed approximation of axisymmetric Brinkman flowsESAIM: Mathematical Modelling and Numerical Analysis, 49(3):855–874, 2015[DOI ,URL ,BIB
@article{amrr_m2an15,
 author = {Anaya, Ver{\'o}nica and Mora, David and Reales, Carlos and Ruiz-Baier, Ricardo},
 doi = {10.1051/m2an/2015011},
 fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
 journal = {ESAIM: Math. Model. Numer. Anal.},
 number = {3},
 pages = {855--874},
 title = {Stabilized mixed approximation of axisymmetric {B}rinkman flows},
 volume = {49},
 year = {2015}
}
]
[27]M. Álvarez, G. N. Gatica and R. Ruiz-BaierAn augmented mixed–primal finite element method for a coupled flow–transport problemESAIM: Mathematical Modelling and Numerical Analysis, 49(5):1399–1427, 2015[DOI ,URL ,BIB
@article{agr_m2an15,
 author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
 doi = {10.1051/m2an/2015015},
 fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
 journal = {ESAIM: Math. Model. Numer. Anal.},
 number = {5},
 pages = {1399--1427},
 title = {An augmented mixed--primal finite element method 
for a coupled flow--transport problem},
 volume = {49},
 year = {2015}
}
]
[26]V. Anaya, G. N. Gatica, D. Mora and R. Ruiz-BaierAn augmented velocity-vorticity-pressure formulation for the Brinkman equationsInternational Journal for Numerical Methods in Fluids, 79(3):109–137, 2015[DOI ,URL ,BIB
@article{agmr_ijnmf15,
 author = {Anaya, Ver{\'o}nica and Gatica, Gabriel N. and Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1002/fld.4041},
 fjournal = {International Journal for Numerical Methods in Fluids},
 journal = {Int. J. Numer. Methods Fluids},
 number = {3},
 pages = {109--137},
 title = {An augmented velocity-vorticity-pressure formulation for the {B}rinkman equations},
 volume = {79},
 year = {2015}
}
]
[25]B. Andreianov, M. Bendahmane, A. Quarteroni and R. Ruiz-BaierSolvability analysis and numerical approximation of linearized cardiac electromechanicsMathematical Models and Methods in Applied Sciences, 25(05):959–993, 2015[DOI ,URL ,BIB
@article{abqr_m3as15,
 author = {Andreianov, Boris and Bendahmane, Mostafa and Quarteroni, Alfio and Ruiz-Baier, Ricardo},
 doi = {10.1142/S0218202515500244},
 fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
 journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
 number = {05},
 pages = {959--993},
 publisher = {World Scientific Publishing},
 title = {Solvability analysis and numerical approximation of linearized cardiac electromechanics},
 volume = {25},
 year = {2015}
}
]

2014

[24]S. Rossi, T. Lassila, R. Ruiz-Baier, A. Sequeira and A. QuarteroniThermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanicsEuropean Journal of Mechanics: A/Solids, 48:129–142, 2014[DOI ,URL ,BIB
@article{rlrsq_ejmsol14,
 author = {Rossi, Simone and Lassila, Toni and Ruiz-Baier, Ricardo and 
Sequeira, Adelia and Quarteroni, Alfio},
 doi = {10.1016/j.euromechsol.2013.10.009},
 fjournal = {European Journal of Mechanics: A/Solids},
 journal = {Eur. J. Mech. A/Solids},
 pages = {129--142},
 title = {Thermodynamically consistent orthotropic activation model 
capturing ventricular systolic wall thickening in cardiac electromechanics},
 volume = {48},
 year = {2014}
}
]
[23]R. Ruiz-Baier, A. Gizzi, S. Rossi, C. Cherubini, A. Laadhari, S. Filippi and A. QuarteroniMathematical modeling of active contraction in isolated cardiomyocytesMathematical Medicine and Biology, 31(3):259–283, 2014[DOI ,URL ,BIB
@article{rgrclsq_mmb14,
 author = {Ruiz-Baier, Ricardo and Gizzi, Alessio and Rossi, Simone
and Cherubini, Christian and Laadhari, Aymen and Filippi,
Simonetta and Quarteroni, Alfio},
 doi = {10.1093/imammb/dqt009},
 fjournal = {Mathematical {M}edicine and {B}iology},
 issn = {1477-8599},
 journal = {Math. {M}edicine {B}iol.},
 number = {3},
 pages = {259--283},
 publisher = {Oxford University Press},
 title = {Mathematical modeling of active contraction in isolated cardiomyocytes},
 volume = {31},
 year = {2014}
}
]
[22]Z. Lin, R. Ruiz-Baier and C. TianFinite volume element approximation of an inhomogeneous Brusselator model with cross-diffusionJournal of Computational Physics, 256:806–823, 2014[DOI ,URL ,BIB
@article{lrt_jcp14,
 author = {Lin, Zhigui and Ruiz-Baier, Ricardo and Tian, Canrong},
 doi = {10.1016/j.jcp.2013.09.009},
 fjournal = {Journal of Computational Physics},
 journal = {J. Comput. Phys.},
 pages = {806--823},
 title = {Finite volume element approximation of an inhomogeneous
{B}russelator model with cross-diffusion},
 volume = {256},
 year = {2014}
}
]

2013

[21]R. Ruiz-Baier and C. TianMathematical analysis and numerical simulation of pattern formation under cross-diffusionNonlinear Analysis: Real World Applications, 14(1):601–612, 2013[DOI ,URL ,BIB
@article{rt_narwa13,
 author = {Ruiz-Baier, Ricardo and Tian, Canrong},
 doi = {10.1016/j.nonrwa.2012.07.020},
 fjournal = {Nonlinear {A}nalysis: {R}eal {W}orld {A}pplications},
 journal = {Nonl. Anal.: Real World Appl.},
 number = {1},
 pages = {601--612},
 title = {Mathematical analysis and numerical simulation of
pattern formation under cross-diffusion},
 volume = {14},
 year = {2013}
}
]
[20]A. Laadhari, R. Ruiz-Baier and A. QuarteroniFully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cellsInternational Journal for Numerical Methods in Engineering, 96(11):712–738, 2013[DOI ,URL ,BIB
@article{lrq_ijnme13,
 author = {Laadhari, Aymen and Ruiz-Baier, Ricardo and Quarteroni, Alfio},
 doi = {10.1002/nme.4582},
 fjournal = {International Journal for Numerical Methods in Engineering},
 journal = {Int. J. Numer. Methods Engrg.},
 number = {11},
 pages = {712--738},
 title = {Fully {E}ulerian finite element approximation of a
fluid-structure interaction problem in cardiac cells},
 volume = {96},
 year = {2013}
}
]
[19]D. Baroli, A. Quarteroni and R. Ruiz-BaierConvergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticityAdvances in Computational Mathematics, 39(2):425–443, 2013[DOI ,URL ,BIB
@article{bqr_acom13,
 author = {Baroli, Davide and Quarteroni, Alfio and Ruiz-Baier, Ricardo},
 doi = {10.1007/s10444-012-9286-8},
 fjournal = {Advances in {C}omputational {M}athematics},
 journal = {Adv. Comput. Math.},
 number = {2},
 pages = {425--443},
 title = {Convergence of a stabilized discontinuous {G}alerkin method
for incompressible nonlinear elasticity},
 volume = {39},
 year = {2013}
}
]
[18]V. Anaya, D. Mora and R. Ruiz-BaierAn augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equationsComputer Methods in Applied Mechanics and Engineering, 267:261–274, 2013[DOI ,URL ,BIB
@article{amr_cmame13,
 author = {Anaya, Ver{\'o}nica and Mora, David and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.cma.2013.08.011},
 fjournal = {Computer Methods in Applied Mechanics and Engineering},
 journal = {Comput. Methods Appl. Mech. Engrg.},
 pages = {261--274},
 title = {An augmented mixed finite element method for the
vorticity-velocity-pressure formulation of the {S}tokes
equations},
 volume = {267},
 year = {2013}
}
]

2012

[17]S. Rossi, R. Ruiz-Baier, L. F. Pavarino and A. QuarteroniOrthotropic active strain models for the numerical simulation of cardiac biomechanicsInternational Journal for Numerical Methods in Biomedical Engineering, 28(6--7):761–788, 2012[DOI ,URL ,BIB
@article{rrpq_ijnmbe12,
 author = {Rossi, Simone and Ruiz-Baier, Ricardo and Pavarino, Luca F. and Quarteroni, Alfio},
 doi = {10.1002/cnm.2473},
 fjournal = {International {J}ournal for {N}umerical {M}ethods in {B}iomedical {E}ngineering},
 journal = {Int. J. Numer. Methods Biomed. Engrg.},
 number = {6--7},
 pages = {761--788},
 title = {Orthotropic active strain models for the numerical simulation of cardiac biomechanics},
 volume = {28},
 year = {2012}
}
]
[16]F. Nobile, A. Quarteroni and R. Ruiz-BaierAn active strain electromechanical model for cardiac tissueInternational Journal for Numerical Methods in Biomedical Engineering, 28(1):52–71, 2012[DOI ,URL ,BIB
@article{nqr_ijnmbe12,
 author = {Nobile, Fabio and Quarteroni, Alfio and Ruiz-Baier, Ricardo},
 doi = {10.1002/cnm.1468},
 fjournal = {International {J}ournal for {N}umerical {M}ethods in
{B}iomedical {E}ngineering},
 journal = {Int. J. Numer. Methods Biomed. Engrg.},
 number = {1},
 pages = {52--71},
 title = {An active strain electromechanical model for cardiac tissue},
 volume = {28},
 year = {2012}
}
]
[15]R. Bürger, R. Ruiz-Baier and H. TorresA stabilized finite volume element formulation for sedimentation-consolidation processesSIAM Journal on Scientific Computing, 34(3):B265–B289, 2012[DOI ,URL ,BIB
@article{brt_sisc12,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Torres, H\'ector},
 doi = {10.1137/110836559},
 fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
 journal = {{SIAM} J. Sci. Comput.},
 number = {3},
 pages = {B265--B289},
 title = {A stabilized finite volume element formulation for
sedimentation-consolidation processes},
 volume = {34},
 year = {2012}
}
]
[14]R. Bürger, R. Ruiz-Baier, K. Schneider and H. TorresA multiresolution method for the simulation of sedimentation in inclined channelsInternational Journal of Numerical Analysis & Modeling, 9(3):479–504, 2012[DOI ,URL ,BIB
@article{brst_ijnam12,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Schneider,
Kai and Torres, H\'ector},
 doi = {http://www.global-sci.org/ijnam/readabs.php?vol=9&no=3&doc=479&year=2012&ppage=504},
 fjournal = {International {J}ournal of {N}umerical {A}nalysis \& {M}odeling},
 journal = {Int. J. Numer. Anal. Model.},
 number = {3},
 pages = {479--504},
 title = {A multiresolution method for the simulation of
sedimentation in inclined channels},
 volume = {9},
 year = {2012}
}
]
[13]B. Ainseba, M. Bendahmane and R. Ruiz-BaierAnalysis of an optimal control problem for the tridomain model in cardiac electrophysiologyJournal of Mathematical Analysis and Applications, 388(1):231–247, 2012[DOI ,URL ,BIB
@article{abr_jmaa12,
 author = {Ainseba, Beddr and Bendahmane, Mostafa and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.jmaa.2011.11.069},
 fjournal = {Journal of {M}athematical {A}nalysis and {A}pplications},
 journal = {J. Math. Anal. Appl.},
 number = {1},
 pages = {231--247},
 title = {Analysis of an optimal control problem for the tridomain
model in cardiac electrophysiology},
 volume = {388},
 year = {2012}
}
]

2011

[12]A. Quarteroni and R. Ruiz-BaierAnalysis of a finite volume element method for the Stokes problemNumerische Mathematik, 118(4):737–764, 2011[DOI ,URL ,BIB
@article{qr_nm11,
 author = {Quarteroni, Alfio and Ruiz-Baier, Ricardo},
 doi = {10.1007/s00211-011-0373-4},
 fjournal = {Numerische {M}athematik},
 journal = {Numer. Math.},
 number = {4},
 pages = {737--764},
 title = {Analysis of a finite volume element method for the {S}tokes problem},
 volume = {118},
 year = {2011}
}
]
[11]S. Berres, R. Ruiz-Baier, H. Schwandt and E. M. ToryAn adaptive finite-volume method for a model of two-phase pedestrian flowNetworks and Heterogeneous Media, 6(3):401–423, 2011[DOI ,URL ,BIB
@article{brst_nhm11,
 author = {Berres, Stefan and Ruiz-Baier, Ricardo and Schwandt, Hartmut
and Tory, Elmer M.},
 doi = {10.3934/nhm.2011.6.401},
 fjournal = {Networks and Heterogeneous Media},
 journal = {Netw. Heterog. Media},
 number = {3},
 pages = {401--423},
 title = {An adaptive finite-volume method for a model of two-phase
pedestrian flow},
 volume = {6},
 year = {2011}
}
]
[10]S. Berres and R. Ruiz-BaierA fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusionNonlinear Analysis: Real World Applications, 12(5):2888–2903, 2011[DOI ,URL ,BIB
@article{br_narwa11,
 author = {Berres, Stefan and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.nonrwa.2011.04.014},
 fjournal = {Nonlinear {A}nalysis: {R}eal {W}orld {A}pplications},
 journal = {Nonl. Anal.: Real World Appl.},
 number = {5},
 pages = {2888--2903},
 title = {A fully adaptive numerical approximation for a
two-dimensional epidemic model with nonlinear
cross-diffusion},
 volume = {12},
 year = {2011}
}
]
[9]B. Andreianov, M. Bendahmane and R. Ruiz-BaierAnalysis of a finite volume method for a cross-diffusion model in population dynamicsMathematical Models and Methods in Applied Sciences, 21(02):307–344, 2011[DOI ,URL ,BIB
@article{abr_m3as11,
 author = {Andreianov, Boris and Bendahmane, Mostafa and Ruiz-Baier, Ricardo},
 doi = {10.1142/S0218202511005064},
 fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
 journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
 number = {02},
 pages = {307--344},
 publisher = {World Scientific Publishing},
 title = {Analysis of a finite volume method for a cross-diffusion
model in population dynamics},
 volume = {21},
 year = {2011}
}
]

2010

[8]R. Bürger, R. Ruiz-Baier and K. SchneiderAdaptive multiresolution methods for the simulation of waves in excitable mediaJournal of Scientific Computing, 43(2):261–290, 2010[DOI ,URL ,BIB
@article{brs_jsc10,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Schneider, Kai},
 doi = {10.1007/s10915-010-9356-3},
 fjournal = {Journal of {S}cientific {C}omputing},
 issn = {0885-7474},
 journal = {J. Sci. Comput.},
 number = {2},
 pages = {261--290},
 publisher = {Springer Verlag},
 title = {Adaptive multiresolution methods for the
simulation of waves in excitable media},
 volume = {43},
 year = {2010}
}
]
[7]M. Bendahmane, R. Bürger and R. Ruiz-BaierA multiresolution space-time adaptive scheme for the bidomain model in electrocardiologyNumerical Methods for Partial Differential Equations, 26(6):1377–1404, 2010[DOI ,URL ,BIB
@article{bbr_nmpde10,
 author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo},
 doi = {10.1002/num.20495},
 fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
 journal = {Numer. Methods Part. Diff. Eqns.},
 number = {6},
 pages = {1377--1404},
 title = {A multiresolution space-time adaptive scheme for the
bidomain model in electrocardiology},
 volume = {26},
 year = {2010}
}
]
[6]M. Bendahmane, R. Bürger and R. Ruiz-BaierA finite volume scheme for cardiac propagation in media with isotropic conductivitiesMathematics and Computers in Simulation, 80(9):1821–1840, 2010[DOI ,URL ,BIB
@article{bbr_matcom10,
 author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo},
 doi = {10.1016/j.matcom.2009.12.010},
 fjournal = {Mathematics and {C}omputers in {S}imulation},
 journal = {Math. {C}omput. {S}imul.},
 number = {9},
 pages = {1821--1840},
 title = {A finite volume scheme for cardiac propagation in media
with isotropic conductivities},
 volume = {80},
 year = {2010}
}
]

2009

[5]R. Bürger and R. Ruiz-BaierMultiresolution simulation of reaction-diffusion systems with strong degeneracySeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, 47:73–80, 2009[DOI ,URL ,BIB
@article{br_sema09,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo},
 doi = {http://dialnet.unirioja.es/servlet/articulo?codigo=3015329},
 fjournal = {SeMA Journal: Bolet\'in de la Sociedad Espa\~nola de Matem\'atica
Aplicada},
 issn = {1575-9822},
 journal = {Bol. Soc. Esp. Mat. Apl. SeMA},
 pages = {73--80},
 title = {Multiresolution simulation of reaction-diffusion systems with
strong degeneracy},
 volume = {47},
 year = {2009}
}
]
[4]M. Bendahmane, R. Bürger, R. Ruiz-Baier and J. M. UrbanoOn a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowdingMathematical Methods in the Applied Sciences, 32(13):1704–1737, 2009[DOI ,URL ,BIB
@article{bbru_mma09,
 author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo and Urbano, Jos\'e Miguel},
 doi = {10.1002/mma.1107},
 fjournal = {Mathematical {M}ethods in the {A}pplied {S}ciences},
 journal = {Math. Methods Appl. Sci.},
 number = {13},
 pages = {1704--1737},
 title = {On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding},
 volume = {32},
 year = {2009}
}
]
[3]M. Bendahmane, R. Bürger, R. Ruiz-Baier and K. SchneiderAdaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systemsApplied Numerical Mathematics, 59(7):1668–1692, 2009[DOI ,URL ,BIB
@article{bbrs_apnum09,
 author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo and Schneider, Kai},
 doi = {10.1016/j.apnum.2008.12.001},
 fjournal = {Applied {N}umerical {M}athematics},
 journal = {Appl. Numer. Math.},
 number = {7},
 pages = {1668--1692},
 title = {Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems},
 volume = {59},
 year = {2009}
}
]

2008

[2]R. Bürger, R. Ruiz, K. Schneider and M. SepúlvedaFully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimensionESAIM: Mathematical Modelling and Numerical Analysis, 42(4):535–563, 2008[DOI ,URL ,BIB
@article{brss_m2an08,
 author = {B\"urger, Raimund and Ruiz, Ricardo and Schneider, Kai and
Sep\'ulveda, Mauricio},
 doi = {10.1051/m2an:2008016},
 fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
 journal = {ESAIM: Math. Model. Numer. Anal.},
 number = {4},
 pages = {535--563},
 title = {Fully adaptive multiresolution schemes for strongly degenerate
parabolic equations in one space dimension},
 volume = {42},
 year = {2008}
}
]
[1]R. Bürger, R. Ruiz, K. Schneider and M. SepúlvedaFully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous fluxJournal of Engineering Mathematics, 60(3-4):365–385, 2008[DOI ,URL ,BIB
@article{brss_jem08,
 author = {B\"urger, Raimund and Ruiz, Ricardo and Schneider, Kai and
Sep\'ulveda, Mauricio},
 doi = {10.1007/s10665-007-9162-6},
 fjournal = {Journal of Engineering Mathematics},
 journal = {J. Engrg. Math.},
 number = {3-4},
 pages = {365--385},
 title = {Fully adaptive multiresolution schemes for strongly degenerate
parabolic equations with discontinuous flux},
 volume = {60},
 year = {2008}
}
]

Conference proceedings and book chapters

[21]A. F. AlSohaim, R. Ruiz-Baier and S. Villa-FuentesAnalysis of a finite element method for the Stokes–Poisson–Boltzmann equationsThe Proceedings of ANZIAM, 2024:1–12, 2025[DOI ,URL ,BIB
@article{arv_anziam25,
 author = {AlSohaim, Abeer F. and Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
 doi = {10.48550/arXiv.2502.06455},
 fjournal = {The Proceedings of ANZIAM},
 journal = {Proc. ANZIAM},
 pages = {1--12},
 title = {Analysis of a finite element method for the Stokes--Poisson--Boltzmann equations},
 volume = {2024},
 year = {2025}
}
]
[20]R. Bürger, A. Khan, P. E. Méndez and R. Ruiz-BaierA divergence-conforming method for flow and double-diffusive transportProceedings in Applied Mathematics and Mechanics, 24:e202400201, 2024[DOI ,URL ,BIB
@article{bkmr_pamm24,
 author = {Raimund B\"urger and Arbaz Khan and Paul E. M\'endez and Ricardo Ruiz-Baier},
 doi = {10.1002/pamm.202400201},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 pages = {e202400201},
 title = {A divergence-conforming method for flow and double-diffusive transport},
 volume = {24},
 year = {2024}
}
]
[19]I. U. Ahmed, J. A. Flegg, C. Miller, R. Ruiz-Baier, J. Won and A. ZancaMultiphase Models for Moving Boundary Problems in Biologyin 2021-2022 MATRIX Annals, edited by D. R. Wood, J. de Gier and C. E. Praeger, Springer Nature Switzerland, Cham, pp. 289–307, 2024[DOI ,URL ,BIB
@incollection{afmrwz_matrix24,
 address = {Cham},
 author = {Ahmed, Ishraq U.
and Flegg, Jennifer A.
and Miller, Claire
and Ruiz-Baier, Ricardo
and Won, Joshua
and Zanca, Adriana},
 booktitle = {2021-2022 MATRIX Annals},
 doi = {10.1007/978-3-031-47417-0_15},
 editor = {Wood, David R.
and de Gier, Jan
and Praeger, Cheryl E.},
 pages = {289--307},
 publisher = {Springer Nature Switzerland},
 title = {Multiphase Models for Moving Boundary Problems in Biology},
 year = {2024}
}
]
[18]W. M. Boon, M. Hornkjøl, M. Kuchta, K. Mardal, R. Ruiz-Baier, M. Taffetani, H. D. Westermeyer and I. YotovMixed formulations for poroelasticity/free-flow using total pressurein Multiscale Coupled Models for Complex Media: From Analysis to Simulation in Geophysics and Medicine, edited by M. Peszynska, S. Pop, B. Wohlmuth and Z. Yosibash, Mathematisches Forschungsinstitut Oberwolfach, Germany, pp. 33–35, 2022[DOI ,URL ,BIB
@incollection{bhkmrtwy_owr22,
 author = {Boon, Wietse M and Hornkj{\o}l, Martin and Kuchta, Miroslav and Mardal, Kent-Andr\'e and Ruiz-Baier, Ricardo and Taffetani, Matteo and Westermeyer, Hans D. and Yotov, Ivan},
 booktitle = {Multiscale Coupled Models for Complex Media: From
Analysis to Simulation in Geophysics and Medicine},
 doi = {10.14760/OWR-2022-4},
 editor = {Peszynska, Malgorzata and Pop, Sorin and Wohlmuth, Barbara and Yosibash, Zohar},
 pages = {33--35},
 publisher = {Mathematisches Forschungsinstitut Oberwolfach, Germany},
 series = {Oberwolfach Reports},
 title = {Mixed formulations for poroelasticity/free-flow using total pressure},
 year = {2022}
}
]
[17]A. Gizzi, A. Propp and R. Ruiz-BaierMixed formulations for stress-assisted diffusion problems in cardiac biomechanicsin ICNumACA'18: Proceedings of the International Conference on Numerical Analysis, Computing and Applications, edited by M. Mallayya, Mohandas College of Engineering, Kerala - India, pp. 1–18, 2018[DOI ,URL ,BIB
@incollection{gpr_mohandas19,
 author = {Gizzi, Alessio and Propp, Adrienne and Ruiz-Baier, Ricardo},
 booktitle = {{ICNumACA'18}: {P}roceedings of the {I}nternational {C}onference on {N}umerical {A}nalysis, {C}omputing and {A}pplications},
 doi = {10.1007/ddd-m},
 editor = {Mallayya, Madhukar},
 isbn = {xxxf-3342},
 location = {Trivandrum, India},
 pages = {1--18},
 publisher = {Mohandas College of Engineering, Kerala - India},
 title = {Mixed formulations for stress-assisted diffusion problems
in cardiac biomechanics},
 volume = {1},
 year = {2018}
}
]
[16]R. Bürger, S. Kumar Kenettinkara, R. Ruiz-Baier and H. TorresDiscontinuous approximation of flow in porous media with adsorptionProceedings in Applied Mathematics and Mechanics, 18(1):e201800064–5, 2018[DOI ,URL ,BIB
@article{bkrt_pamm18,
 author = {B\"urger, Raimund and Kumar Kenettinkara, Sudarshan  and Ruiz-Baier, Ricardo and Torres, H\'ector},
 doi = {10.1002/pamm.201800064},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 number = {1},
 pages = {e201800064--5},
 title = {Discontinuous approximation of flow in porous media with adsorption},
 volume = {18},
 year = {2018}
}
]
[15]R. Bürger, J. Careaga, S. Diehl, C. Mejías and R. Ruiz-BaierConvection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advancesin Proceedings of the International Congress of Mathematicians, edited by B. Sirakov, P. d. Souza and M. Viana, World Scientific, Singapore, pp. 3489–3514, 2018[DOI ,URL ,BIB
@incollection{bcdmr_icm18,
 author = {B{\"u}rger, Raimund and Careaga, Julio and Diehl, Stefan and
Mej\'ias, Camilo and Ruiz-Baier, Ricardo},
 booktitle = {Proceedings of the International Congress of Mathematicians},
 doi = {10.1142/9789813272880_0189},
 editor = {B. Sirakov and P.N. de Souza and M. Viana},
 pages = {3489--3514},
 publisher = {World Scientific, Singapore},
 title = {Convection-diffusion-reaction and transport-flow
problems motivated by models of sedimentation: some recent advances},
 volume = {IV: Invited Lectures},
 year = {2018}
}
]
[14]M. Álvarez, B. Gómez-Vargas, R. Ruiz-Baier and J. WoodfieldStability of a second-order method for phase change in porous media flowProceedings in Applied Mathematics and Mechanics, 18(1):e201800021–2, 2018[DOI ,URL ,BIB
@article{agrw_pamm18,
 author = {\'Alvarez, Mario and G{\'o}mez-Vargas, Bryan and  Ruiz-Baier, Ricardo and Woodfield, James},
 doi = {10.1002/pamm.201800021},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 number = {1},
 pages = {e201800021--2},
 title = {Stability of a second-order
method for phase change in porous media flow},
 volume = {18},
 year = {2018}
}
]
[13]S. Kumar, R. Ruiz-Baier and R. SandilyaDiscontinuous finite volume element methods for the optimal control of Brinkman equationsin Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, edited by C. Cancès and P. Omnes, Springer International Publishing, pp. 307–315, 2017[DOI ,URL ,BIB
@incollection{krs_springer17,
 author = {Kumar, Sarvesh and Ruiz-Baier, Ricardo and Sandilya, Ruchi},
 booktitle = {Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems},
 doi = {10.1007/978-3-319-57394-6_33},
 editor = {Canc\`es, C. and Omnes, P.},
 pages = {307--315},
 publisher = {Springer International Publishing},
 series = {Springer Proc. Math. Stat.},
 title = {Discontinuous finite volume element methods for the optimal control of Brinkman equations},
 volume = {200},
 year = {2017}
}
]
[12]R. Bürger, S. Kumar, S. Kumar Kenettinkara and R. Ruiz-BaierA discontinuous method for oil-water flow in heterogeneous porous mediaProceedings in Applied Mathematics and Mechanics, 16:763–764, 2016[DOI ,URL ,BIB
@article{bkkr_pamm16,
 author = {B\"urger, Raimund and Kumar, Sarvesh and Kumar Kenettinkara, Sudarshan and Ruiz-Baier, Ricardo},
 doi = {10.1002/pamm.201610370},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 pages = {763--764},
 title = {A discontinuous method for oil-water flow in heterogeneous porous
media},
 volume = {16},
 year = {2016}
}
]
[11]A. Gizzi, R. Ruiz-Baier, S. Rossi, A. Laadhari, C. Cherubini and S. FilippiA three-dimensional continuum model of active contraction in single cardiomyocytesin Modeling the Heart and the Circulatory System, edited by A. Quarteroni, Springer-Verlag, Milano, pp. 157–176, 2015[DOI ,URL ,BIB
@incollection{grrlcf_springer15,
 author = {Gizzi, Alessio and Ruiz-Baier, Ricardo and Rossi, Simone and Laadhari, Aymen and 
Cherubini, Christian and Filippi, Simonetta},
 booktitle = {{M}odeling the {H}eart and the {C}irculatory {S}ystem},
 doi = {10.1007/978-3-319-05230-4_6},
 editor = {Quarteroni, Alfio},
 pages = {157--176},
 publisher = {Springer-Verlag, Milano},
 title = {A three-dimensional continuum model of active contraction in single cardiomyocytes},
 year = {2015}
}
]
[10]F. Betancourt, R. Bürger, R. Ruiz-Baier, H. Torres and C. A. VegaOn numerical methods for hyperbolic conservation laws and related equations modelling sedimentation of solid-liquid suspensionsin Hyperbolic conservation laws and related analysis with applications, edited by G. G. Chen, H. Holden and K. H. Karlsen, Springer, Heidelberg, pp. 23–68, 2014[DOI ,URL ,BIB
@incollection{bbrtv_icms14,
 author = {Betancourt, Fernando and B{\"u}rger, Raimund and Ruiz-Baier, Ricardo and
Torres, H\'ector and Vega, Carlos A.},
 booktitle = {Hyperbolic conservation laws and related analysis with
applications},
 doi = {10.1007/978-3-642-39007-4_2},
 editor = {Chen, Gui-Quiang G. and Holden, Helge and Karlsen, Kenneth H.},
 pages = {23--68},
 publisher = {Springer, Heidelberg},
 series = {Springer Proc. Math. Stat.},
 title = {On numerical methods for hyperbolic conservation laws and
related equations modelling sedimentation of solid-liquid
suspensions},
 volume = {49},
 year = {2014}
}
]
[9]R. Ruiz-Baier, D. Ambrosi, S. Pezzuto, S. Rossi and A. QuarteroniActivation models for the numerical simulation of cardiac electromechanical interactionsin Computer Models in Biomechanics: From Nano to Macro, edited by G. Holzapfel and E. Kuhl, Springer, Netherlands, pp. 189–201, 2013[DOI ,URL ,BIB
@incollection{raprq_springer13,
 author = {Ruiz-Baier, Ricardo and Ambrosi, Davide and Pezzuto,
Simone and Rossi, Simone and Quarteroni, Alfio},
 booktitle = {Computer {M}odels in {B}iomechanics: {F}rom {N}ano to {M}acro},
 doi = {10.1007/978-94-007-5464-5_14},
 editor = {Holzapfel, Gerhard and Kuhl, Ellen},
 pages = {189--201},
 publisher = {Springer, Netherlands},
 title = {Activation models for the numerical simulation of
cardiac electromechanical interactions},
 year = {2013}
}
]
[8]R. Bürger, R. Ruiz-Baier and H. TorresA finite volume element method for simulating secondary settling tanksProceedings in Applied Mathematics and Mechanics, 12(1):667–668, 2012[DOI ,URL ,BIB
@article{btr_pamm12,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Torres, H\'ector},
 doi = {10.1002/pamm.201210322},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 issn = {1617-7061},
 journal = {Proc. Appl. Math. Mech.},
 number = {1},
 pages = {667--668},
 publisher = {WILEY-VCH Verlag},
 title = {A finite volume element method for simulating secondary settling tanks},
 volume = {12},
 year = {2012}
}
]
[7]S. Berres, R. Ruiz-Baier, H. Schwandt and E. M. ToryA two-dimensional model of pedestrian flow generating pattern formationin Hyperbolic problems--theory, numerics and applications. Volume 1, edited by T. Li and S. Jiang, World Sci. Publishing, Singapore, pp. 304–311, 2012[DOI ,BIB
@incollection{brst_hyp12,
 author = {Berres, Stefan and Ruiz-Baier, Ricardo and Schwandt, Hartmut and Tory, Elmer M.},
 booktitle = {Hyperbolic problems--theory, numerics and applications. {V}olume 1},
 doi = {10.1142/9789814417099_0026},
 editor = {Li, Tatsien and Jiang, Song},
 pages = {304--311},
 publisher = {World Sci. Publishing, Singapore},
 series = {Ser. Contemp. Appl. Math. CAM},
 title = {A two-dimensional model of pedestrian flow generating pattern formation},
 volume = {17--18},
 year = {2012}
}
]
[6]S. Berres and R. Ruiz-BaierSimulation of an epidemic model with nonlinear cross-diffusionin Numerical Methods for Hyperbolic Equations, edited by E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro and L. Cea, CRC Press/Balkema, Leiden, pp. 331–338, 2012[DOI ,URL ,BIB
@incollection{br_hyp13,
 author = {Stefan Berres and Ricardo Ruiz-Baier},
 booktitle = {Numerical Methods for Hyperbolic Equations},
 doi = {doi:10.1201/b14172-46},
 editor = {V\'azquez-Cend\'on, Elena and Hidalgo, Arturo and Garc\'ia-Navarro, Pilar and Cea, Luis},
 isbn = {978-0-415-62150-2},
 pages = {331--338},
 publisher = {CRC Press/Balkema, Leiden},
 title = {Simulation of an epidemic model with nonlinear cross-diffusion},
 ty = {CHAP},
 year = {2012}
}
]
[5]S. Rossi, R. Ruiz-Baier, L. F. Pavarino and A. QuarteroniActive strain and activation models in cardiac electromechanicsProceedings in Applied Mathematics and Mechanics, 11(1):119–120, 2011[DOI ,URL ,BIB
@article{rrpq_pamm11,
 author = {Rossi, Simone and Ruiz-Baier, Ricardo and Pavarino, Luca
F. and Quarteroni, Alfio},
 doi = {10.1002/pamm.201110051},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 number = {1},
 pages = {119--120},
 title = {Active strain and activation models in cardiac electromechanics},
 volume = {11},
 year = {2011}
}
]
[4]A. Quarteroni, S. Rossi and R. Ruiz-BaierOn some numerical aspects of an active strain model in cardiac mechanicsin CMBE11: 2nd International Conference on Computational & Mathematical Biomedical Engineering, edited by P. Nithiarasu, Swansea University, UK, pp. 328–331, 2011[DOI ,BIB
@incollection{qrr_cmbe11,
 author = {Quarteroni, Alfio and Rossi, Simone and Ruiz-Baier, Ricardo},
 booktitle = {{CMBE11}: 2nd {I}nternational {C}onference on {C}omputational 
\& {M}athematical {B}iomedical {E}ngineering},
 doi = {10.1007/978-0-9562914-1-7},
 editor = {Nithiarasu, Perumal},
 isbn = {978-0-9562914-1-7},
 location = {Washington DC, USA},
 pages = {328--331},
 publisher = {Swansea University, UK},
 title = {On some numerical aspects of an active strain model in cardiac mechanics},
 volume = {1},
 year = {2011}
}
]
[3]R. Bürger and R. Ruiz-BaierAdaptive multiresolution simulation of waves in electrocardiologyin Numerical Mathematics and Advanced Applications, edited by G. Kreiss, P. Lötstedt, A. Målqvist and M. Neytcheva, Springer, Heidelberg, pp. 199–207, 2010[DOI ,URL ,BIB
@incollection{br_springer10,
 author = {B\"urger, Raimund and Ruiz-Baier, Ricardo},
 booktitle = {Numerical Mathematics and Advanced Applications},
 doi = {10.1007/978-3-642-11795-4_20},
 editor = {Kreiss, Gunilla and L\"otstedt, Per and M{\aa}lqvist, Axel and Neytcheva, Maya},
 number = {2},
 pages = {199--207},
 publisher = {Springer, Heidelberg},
 series = {Springer Proc. Math. Stat.},
 title = {Adaptive multiresolution simulation of waves in electrocardiology},
 year = {2010}
}
]
[2]M. Bendahmane, R. Bürger, R. Ruiz-Baier and K. SchneiderAdaptive multiresolution schemes for reaction-diffusion systemsProceedings in Applied Mathematics and Mechanics, 8(1):10969–10970, 2008[DOI ,URL ,BIB
@article{bbrs_pamm08,
 author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier,
Ricardo and Schneider, Kai},
 doi = {10.1002/pamm.200810969},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 number = {1},
 pages = {10969--10970},
 title = {Adaptive multiresolution schemes for reaction-diffusion systems},
 volume = {8},
 year = {2008}
}
]
[1]R. Bürger, R. Ruiz, K. Schneider and M. SepúlvedaMultiresolution schemes for an extended clarifier-thickener modelProceedings in Applied Mathematics and Mechanics, 7(1):1041803–1041804, 2007[DOI ,URL ,BIB
@article{brss_pamm07,
 author = {B\"urger, Raimund and Ruiz, Ricardo and Schneider, Kai and
Sep\'ulveda, Mauricio},
 doi = {10.1002/pamm.200700805},
 fjournal = {Proceedings in {A}pplied {M}athematics and {M}echanics},
 journal = {Proc. Appl. Math. Mech.},
 number = {1},
 pages = {1041803--1041804},
 title = {Multiresolution schemes for an extended clarifier-thickener model},
 volume = {7},
 year = {2007}
}
]

Theses

[2]R. Ruiz-BaierNumerical Methods and Analysis of Degenerate Parabolic Equations and Reaction-Diffusion SystemsPhD thesis in Applied Mathematics at Universidad de Concepción, December 2008[URL ,BIB
@phdthesis{ruiz-phd,
 address = {Chile},
 author = {Ruiz-Baier, Ricardo},
 http = {http://ci2ma.udec.cl/publicaciones/tesisposgrado/graduado.php?id=13},
 month = {December},
 school = {Universidad de Concepci\'on},
 title = {Numerical Methods and Analysis of Degenerate Parabolic Equations and Reaction-Diffusion Systems},
 year = {2008}
}
]
[1]R. Ruiz-BaierMétodos de Multiresolución y su Aplicación a un Modelo de IngenieríaMathematical Engineering thesis at Universidad de Concepción, March 2005[URL ,BIB
@mastersthesis{ruiz-engrg,
 address = {Chile},
 author = {Ruiz-Baier, Ricardo},
 http = {http://tel.archives-ouvertes.fr/tel-00304348/},
 month = {March},
 school = {Universidad de Concepci\'on},
 title = {M\'etodos de Multiresoluci\'on y su Aplicaci\'on a un Modelo de Ingenier\'ia},
 year = {2005}
}
]