@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}
}

@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}
}

@article{bmr_tree,
 author = {Barnafi, Nicolas A and Mart\'in, Alberto F and  Ruiz-Baier, Ricardo},
 doi = {10.48550/arXiv.2506.15876},
 fjournal = {arXiv preprint 2506.15876},
 title = {Tree-based adaptive finite element methods for deformable image registration},
 year = {2025}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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.},
 title = {Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem},
 year = {2025}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@article{bcmrv_cmame25,
 author = {Badia, Santiago and Carstensen, Carsten and Mart\'in, Alberto F and  Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
 doi = {10.48550/2506.10533},
 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 {Navier--Stokes--Brinkman--Forchheimer} problem},
 volume = {447},
 year = {2025}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}

@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}
}