00PubListBib-paper.bib
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@article{abr_jmaa12,
author = {Ainseba, Beddr and Bendahmane, Mostafa and Ruiz-Baier, Ricardo},
doi = {10.1016/j.jmaa.2011.11.069},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of {M}athematical {A}nalysis and {A}pplications},
pages = {231--247},
title = {Analysis of an optimal control problem for the tridomain
model in cardiac electrophysiology},
volume = {388},
url = {./myPapers/abr_jmaa12.pdf},
year = {2012},
number = {1},
pubtype = {paper}
}
@article{agor_nhm20,
author = {Almonacid, Javier and Gatica, Gabriel N. and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo},
title = {A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity},
journal = {Netw. Heterog. Media},
fjournal = {Networks and Heterogeneous Media},
doi = {10.3934/nhm.2020010},
url = {./myPapers/agor_nhm20.pdf},
year = {2020},
pages = {215--245},
volume = {15},
number = {2},
pubtype = {paper}
}
@article{agr_calcolo20,
author = {Almonacid, Javier and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {Ultra-weak symmetry of stress for augmented mixed finite element formulations
in continuum mechanics},
year = {2020},
pages = {e2(1--25)},
volume = {57},
journal = {Calcolo},
fjournal = {Calcolo},
doi = {10.1007/s10092-019-0351-2},
url = {./myPapers/agr_calcolo20.pdf},
pubtype = {paper}
}
@article{aggr_jsc19,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and Ruiz-Baier, Ricardo},
title = {New mixed finite element methods for natural convection with phase-change in porous media},
year = {2019},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
url = {./myPapers/aggr_jsc19.pdf},
doi = {10.1007/s10915-019-00931-4},
pubtype = {paper},
number = {1},
volume = {80},
pages = {141--174}
}
@article{agr_cmame16,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem},
year = {2016},
volume = {307},
pages = {68--95},
doi = {10.1016/j.cma.2016.04.017},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/agr_cmame16.pdf},
pubtype = {paper}
}
@article{agr_m2an16,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {A posteriori error analysis for a viscous flow -- transport problem},
year = {2016},
journal = {ESAIM: Math. Model. Numer. Anal.},
fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
url = {./myPapers/agr_m2an16.pdf},
doi = {10.1051/m2an/2016007},
volume = {50},
number = {6},
pages = {1789--1816},
pubtype = {paper}
}
@article{agr_ima21,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {A mixed-primal finite element method for the coupling
of {Brinkman-Darcy} flow and nonlinear transport},
year = {2021},
volume = {41},
number = {1},
pages = {381--411},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
doi = {10.1093/imanum/drz060},
url = {./myPapers/agr_ima21.pdf},
pubtype = {paper}
}
@article{agr_calcolo17,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {A posteriori error analysis of a fully-mixed formulation
for the {Brinkman-Darcy} problem},
year = {2017},
journal = {Calcolo},
fjournal = {Calcolo},
volume = {54},
number = {4},
pages = {1491--1519},
url = {./myPapers/agr_calcolo17.pdf},
doi = {10.1007/s10092-017-0238-z},
pubtype = {paper}
}
@article{agr_jcp18,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {A posteriori error estimation for an augmented mixed-primal
method applied to sedimentation-consolidation systems},
journal = {{J}. {C}omput. {P}hys.},
fjournal = {{J}ournal of {C}omputational {P}hysics},
year = {2018},
volume = {367},
pages = {332--346},
url = {./myPapers/agr_jcp18.pdf},
doi = {10.1016/j.jcp.2018.04.040},
pubtype = {paper}
}
@article{agr_m2an15,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {An augmented mixed--primal finite element method
for a coupled flow--transport problem},
journal = {ESAIM: Math. Model. Numer. Anal.},
fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
doi = {10.1051/m2an/2015015},
url = {./myPapers/agr_m2an15.pdf},
year = {2015},
volume = {49},
number = {5},
pages = {1399--1427},
pubtype = {paper}
}
@article{agr_m3as16,
author = {\'Alvarez, Mario and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {Mixed-primal finite element approximation of a steady
sedimentation-consolidation system},
journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
year = {2016},
volume = {26},
number = {5},
pages = {867--900},
doi = {10.1142/S0218202516500202},
publisher = {World Scientific Publishing},
url = {./myPapers/agr_m3as16.pdf},
pubtype = {paper}
}
@article{abmr_nhm18,
author = {Anaya, Ver\'onica and Bendahmane, Mostafa and Mora, David and Ruiz-Baier, Ricardo},
title = {On a vorticity-based formulation for reaction-diffusion-Brinkman systems},
journal = {Netw. Heterog. Media},
fjournal = {Networks and Heterogeneous Media},
doi = {10.3934/nhm.2018004},
year = {2018},
volume = {13},
number = {1},
pages = {69--94},
url = {./myPapers/abmr_nhm18.pdf},
pubtype = {paper}
}
@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},
title = {Analysis and approximation of a vorticity-velocity-pressure
formulation for the Oseen equations},
year = {2019},
volume = {80},
number = {3},
pages = {1577--1606},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
url = {./myPapers/abmrrst_jsc19.pdf},
doi = {10.1007/s10915-019-00990-7},
pubtype = {paper}
}
@article{accgry_cmame23,
title = {A vorticity-based mixed formulation for the unsteady Brinkman--Forchheimer equations},
author = {Anaya, Veronica and Caraballo, Ruben and Caucao, Sergio and Gatica, Luis F and Ruiz-Baier, Ricardo and Yotov, Ivan},
year = {2023},
volume = {404},
pages = {e115829(1--30)},
doi = {10.1016/j.cma.2022.115829},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/accgry_cmame23.pdf},
pubtype = {paper}
}
@article{acgmr_calcolo21,
author = {Anaya, Veronica and Caraballo, Ruben and G{\'o}mez-Vargas, Bryan and Mora, David and Ruiz-Baier, Ricardo},
title = {Velocity-vorticity-pressure formulation for the {O}seen problem with variable viscosity},
year = {2021},
pages = {e44(1--25)},
volume = {58},
number = {4},
journal = {Calcolo},
fjournal = {Calcolo},
doi = {10.1007/s10092-021-00433-6},
url = {./myPapers/acgmr_calcolo21.pdf},
pubtype = {paper}
}
@article{acrt_camwa23,
title = {On augmented finite element formulations for the Navier--Stokes equations with vorticity and variable viscosity},
author = {Anaya, Veronica and Caraballo, Ruben and Ruiz-Baier, Ricardo and Torres, Hector},
year = {2023},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications},
volume = {143},
pages = {397--416},
url = {./myPapers/acrt_camwa23.pdf},
doi = {10.1016/j.camwa.2023.05.015},
pubtype = {paper}
}
@article{adgmr_sisc20,
author = {Anaya, Ver\'onica and De Wijn, Zoa and G{\'o}mez-Vargas, Bryan and
Mora, David and Ruiz-Baier, Ricardo},
title = {Rotation-based mixed formulations for an elasticity-poroelasticity interface problem},
year = {2020},
volume = {42},
number = {1},
pages = {B225--B249},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on {S}cientific {C}omputing},
url = {./myPapers/adgmr_sisc20-crop.pdf},
doi = {10.1137/19M1268343},
pubtype = {paper}
}
@article{admr_cmame19,
author = {Anaya, Ver\'onica and De Wijn, Zoa and Mora, David and Ruiz-Baier, Ricardo},
title = {Mixed displacement-rotation-pressure formulations for linear elasticity},
year = {2019},
doi = {10.1016/j.cma.2018.09.029},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/admr_cmame19.pdf},
volume = {344},
pages = {71--94},
pubtype = {paper}
}
@article{amgr_ijnmf15,
author = {Anaya, Ver{\'o}nica and Gatica, Gabriel N. and Mora, David and Ruiz-Baier, Ricardo},
title = {An augmented velocity-vorticity-pressure formulation for the Brinkman equations},
fjournal = {International Journal for Numerical Methods in Fluids},
journal = {Int. J. Numer. Methods Fluids},
url = {./myPapers/agmr_ijnmf15.pdf},
year = {2015},
volume = {79},
number = {3},
pages = {109--137},
doi = {10.1002/fld.4041},
pubtype = {paper}
}
@article{agmr_crm19,
author = {Anaya, Ver\'onica and G{\'o}mez-Vargas, Bryan and
Mora, David and Ruiz-Baier, Ricardo},
title = {Incorporating variable viscosity in vorticity-based
formulations for Brinkman equations},
year = {2019},
fjournal = {Comptes Rendus Math\'ematiques},
journal = {C. R. Acad. Sci. Paris, Ser. I},
url = {./myPapers/agmr_crm19.pdf},
doi = {10.1016/j.crma.2019.06.006},
pubtype = {paper},
pages = {552--560},
volume = {357},
number = {6}
}
@article{akmr_sisc22,
title = {Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling},
author = {Anaya, Veronica and Khan, Arbaz and Mora, David and Ruiz-Baier, Ricardo},
year = {2022},
volume = {44},
number = {4},
pages = {B964--B995},
journal = {{SIAM} J. Sci. Comput.},
fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
doi = {10.1137/21M1427516},
url = {./myPapers/akmr_sisc22-crop.pdf},
pubtype = {paper}
}
@article{amor_nm16,
author = {Anaya, Ver\'onica and Mora, David and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo},
title = {A priori and a posteriori error analysis of a mixed scheme for the {B}rinkman problem},
journal = {Numer. Math.},
fjournal = {Numerische {M}athematik},
year = {2016},
volume = {133},
number = {4},
pages = {781--817},
url = {./myPapers/amor_nm16.pdf},
doi = {10.1007/s00211-015-0758-x},
pubtype = {paper}
}
@article{ampr_jnm22,
author = {Anaya, Veronica and Mora, David and Pani, Amiya Kumar and Ruiz-Baier, Ricardo},
title = {Error analysis for a vorticity/{B}ernoulli pressure formulation for the {O}seen equations},
year = {2022},
volume = {30},
number = {3},
pages = {209--230},
fjournal = {Journal of Numerical Mathematics},
journal = {J. Numer. Math.},
doi = {10.1515/jnma-2021-0053},
url = {./myPapers/ampr_jnm22.pdf},
pubtype = {paper}
}
@article{amrr_nmpde19,
author = {Anaya, Ver\'onica and Mora, David and Reales, Carlos and Ruiz-Baier, Ricardo},
title = {A vorticity-pressure finite element formulation
for the {B}rinkman-{D}arcy coupled problem},
journal = {Numer. Methods Part. Diff. Eqns.},
fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
year = {2019},
volume = {35},
number = {2},
pages = {528--544},
url = {./myPapers/amrr_nmpde19.pdf},
doi = {10.1002/num.22312},
pubtype = {paper}
}
@article{amrr_jsc17,
author = {Anaya, Ver\'onica and Mora, David and Reales, Carlos and Ruiz-Baier, Ricardo},
title = {Mixed methods for a stream-function--vorticity
formulation of the axisymmetric Brinkman equations},
year = {2017},
volume = {71},
number = {1},
pages = {348--364},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
url = {./myPapers/amrr_jsc17.pdf},
doi = {10.1007/s10915-016-0302-x},
pubtype = {paper}
}
@article{amrr_m2an15,
author = {Anaya, Ver{\'o}nica and Mora, David and Reales, Carlos and Ruiz-Baier, Ricardo},
title = {Stabilized mixed approximation of axisymmetric Brinkman flows},
journal = {ESAIM: Math. Model. Numer. Anal.},
fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
doi = {10.1051/m2an/2015011},
url = {./myPapers/amrr_m2an15.pdf},
year = {2015},
volume = {49},
number = {3},
pages = {855--874},
pubtype = {paper}
}
@article{amr_cmame13,
author = {Anaya, Ver{\'o}nica and Mora, David and Ruiz-Baier, Ricardo},
title = {An augmented mixed finite element method for the
vorticity-velocity-pressure formulation of the {S}tokes
equations},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
volume = {267},
year = {2013},
pages = {261--274},
doi = {10.1016/j.cma.2013.08.011},
url = {./myPapers/amr_cmame13.pdf},
pubtype = {paper}
}
@article{amr_ima17,
author = {Anaya, Ver\'onica and Mora, David and Ruiz-Baier, Ricardo},
title = {Pure vorticity formulation and Galerkin discretization for the Brinkman equations},
year = {2017},
volume = {37},
number = {4},
pages = {2020--2041},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
doi = {10.1093/imanum/drw056},
url = {https://academic.oup.com/imajna/article-pdf/37/4/2020/20667211/drw056.pdf?guestAccessKey=b3044cfe-71cc-4739-980f-765287fad5cf},
pubtype = {paper}
}
@article{abqr_m3as15,
author = {Andreianov, Boris and Bendahmane, Mostafa and Quarteroni, Alfio and Ruiz-Baier, Ricardo},
doi = {10.1142/S0218202515500244},
url = {./myPapers/abqr_m3as15.pdf},
journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
volume = {25},
number = {05},
pages = {959--993},
year = {2015},
publisher = {World Scientific Publishing},
title = {Solvability analysis and numerical approximation of linearized cardiac electromechanics},
pubtype = {paper}
}
@article{abr_m3as11,
author = {Andreianov, Boris and Bendahmane, Mostafa and Ruiz-Baier, Ricardo},
doi = {10.1142/S0218202511005064},
url = {./myPapers/abr_m3as11.pdf},
journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
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},
pubtype = {paper}
}
@article{bhkmmr_camwa24,
title = {Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem},
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},
year = {2024},
volume = {157},
pages = {173--194},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications},
doi = {10.1016/j.camwa.2023.12.038},
url = {./myPapers/bhkmmr_camwa24.pdf},
pubtype = {paper}
}
@article{bbmr_nm21,
author = {Baird, Graham and B\"urger, Raimund and M\'endez, Paul E. and Ruiz-Baier, Ricardo},
title = {Second-order schemes for axisymmetric {N}avier-{S}tokes-{B}rinkman and transport equations modelling water filters},
year = {2021},
number = {2},
volume = {147},
pages = {431--479},
fjournal = {Numerische Mathematik},
journal = {Numer. Math.},
url = {./myPapers/bbmr_nm21.pdf},
doi = {10.1007/s00211-020-01169-1},
pubtype = {paper}
}
@article{bqr_acom13,
author = {Baroli, Davide and Quarteroni, Alfio and Ruiz-Baier, Ricardo},
title = {Convergence of a stabilized discontinuous {G}alerkin method
for incompressible nonlinear elasticity},
journal = {Adv. Comput. Math.},
fjournal = {Advances in {C}omputational {M}athematics},
volume = {39},
year = {2013},
number = {2},
pages = {425--443},
doi = {10.1007/s10444-012-9286-8},
url = {./myPapers/bqr_acom13.pdf},
pubtype = {paper}
}
@article{bdmr_math22,
title = {Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning},
author = {Barnafi, Nicol\'as A and De Oliveira Vilaca, Luis Miguel and Milinkovitch, Michel C and Ruiz-Baier, Ricardo},
year = {2022},
journal = {Mathematics},
fjournal = {Mathematics},
pages = {e4096(1--25)},
volume = {10},
doi = {10.3390/math10214096},
url = {./myPapers/bdmr_math22.pdf},
pubtype = {paper}
}
@article{bghmr_siims21,
author = {Barnafi, Nicol\'as and Gatica, Gabriel N. and Hurtado, Daniel E. and Miranda, Willian and Ruiz-Baier, Ricardo},
title = {Adaptive mesh refinement in deformable image registration: {A} posteriori error estimates for primal and mixed formulations},
year = {2021},
volume = {14},
number = {3},
pages = {1238--1272},
journal = {SIAM J. Imag. Sci.},
fjournal = {SIAM Journal on Imaging Sciences},
doi = {10.1137/20M1364333},
url = {./myPapers/bghmr_siims21.pdf},
pubtype = {paper}
}
@article{bghmr_m3as21,
author = {Barnafi, Nicol\'as and Gatica, Gabriel N. and Hurtado, Daniel E. and Miranda, Willian and Ruiz-Baier, Ricardo},
title = {New primal and dual-mixed finite element methods for stable image registration with singular regularization},
journal = {Math. {M}odels {M}eth. {A}ppl. {S}ci.},
fjournal = {Mathematical {M}odels and {M}ethods in {A}pplied {S}ciences},
year = {2021},
volume = {31},
number = {5},
pages = {979--1020},
doi = {10.1142/S021820252150024X},
publisher = {World Scientific Publishing},
url = {./myPapers/bghmr_m3as21.pdf},
pubtype = {paper}
}
@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},
title = {Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema},
year = {2022},
volume = {92},
pages = {e92(1--40)},
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
doi = {10.1007/s10915-022-01944-2},
url = {./myPapers/bglrrlrw_jsc22.pdf},
pubtype = {paper}
}
@article{bbr_nmpde10,
author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo},
doi = {10.1002/num.20495},
url = {./myPapers/bbr_nmpde10.pdf},
journal = {Numer. Methods Part. Diff. Eqns.},
fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
pages = {1377--1404},
title = {A multiresolution space-time adaptive scheme for the
bidomain model in electrocardiology},
volume = {26},
number = {6},
year = {2010},
pubtype = {paper}
}
@article{bbr_matcom10,
author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo},
doi = {10.1016/j.matcom.2009.12.010},
url = {./myPapers/bbr_matcom10.pdf},
journal = {Math. {C}omput. {S}imul.},
fjournal = {Mathematics and {C}omputers in {S}imulation},
pages = {1821--1840},
title = {A finite volume scheme for cardiac propagation in media
with isotropic conductivities},
volume = {80},
number = {9},
year = {2010},
pubtype = {paper}
}
@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},
url = {./myPapers/bbrs_apnum09.pdf},
journal = {Appl. Numer. Math.},
fjournal = {Applied {N}umerical {M}athematics},
number = {7},
pages = {1668--1692},
title = {Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems},
volume = {59},
year = {2009},
pubtype = {paper}
}
@article{bbru_mma09,
author = {Bendahmane, Mostafa and B\"urger, Raimund and Ruiz-Baier, Ricardo and Urbano, Jos\'e Miguel},
doi = {10.1002/mma.1107},
url = {./myPapers/bbru_mma09.pdf},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical {M}ethods in the {A}pplied {S}ciences},
number = {13},
pages = {1704--1737},
title = {On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding},
volume = {32},
year = {2009},
pubtype = {paper}
}
@article{brt_jmb16,
author = {Bendahmane, Mostafa and Ruiz-Baier, Ricardo and Tian, Canrong},
title = {Turing pattern dynamics and
adaptive discretization of a superdiffusive Lotka-Volterra system},
year = {2016},
volume = {72},
pages = {1441--1465},
journal = {J. Math. Biol.},
fjournal = {{J}ournal of {M}athematical {B}iology},
doi = {10.1007/s00285-015-0917-9},
url = {./myPapers/brt_jmb16.pdf},
pubtype = {paper}
}
@article{br_narwa11,
author = {Berres, Stefan and Ruiz-Baier, Ricardo},
doi = {10.1016/j.nonrwa.2011.04.014},
url = {./myPapers/br_narwa11.pdf},
journal = {Nonl. Anal.: Real World Appl.},
fjournal = {Nonlinear {A}nalysis: {R}eal {W}orld {A}pplications},
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},
pubtype = {paper}
}
@article{brst_nhm11,
author = {Berres, Stefan and Ruiz-Baier, Ricardo and Schwandt, Hartmut
and Tory, Elmer M.},
title = {An adaptive finite-volume method for a model of two-phase
pedestrian flow},
journal = {Netw. Heterog. Media},
fjournal = {Networks and Heterogeneous Media},
volume = {6},
year = {2011},
number = {3},
pages = {401--423},
doi = {10.3934/nhm.2011.6.401},
url = {./myPapers/brst_nhm11.pdf},
pubtype = {paper}
}
@article{bhkmr_jcp22,
author = {Boon, Wietse M and Hornkj{\o}l, Martin and Kuchta, Miroslav and Mardal, Kent-Andr\'e and Ruiz-Baier, Ricardo},
title = {Parameter-robust methods for the {Biot--Stokes} interfacial coupling without {L}agrange multipliers},
year = {2022},
fjournal = {Journal of Computational Physics},
journal = {J. Comput. Phys.},
pages = {e111464(1--25)},
volume = {467},
url = {./myPapers/bhkmr_jcp22.pdf},
doi = {10.1016/j.jcp.2022.111464},
pubtype = {paper}
}
@article{bkmr_sisc21,
title = {Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure},
author = {Wietse M. Boon and Miroslav Kuchta and Kent-Andre Mardal and Ricardo Ruiz-Baier},
year = {2021},
volume = {43},
number = {4},
pages = {B961--B983},
journal = {{SIAM} J. Sci. Comput.},
fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
url = {./myPapers/bkmr_sisc21-crop.pdf},
doi = {10.1137/20M1379708},
pubtype = {paper}
}
@article{bkkr_jcp16,
author = {B\"urger, Raimund and Kumar, Sarvesh and Kumar Kenettinkara, Sudarshan and Ruiz-Baier, Ricardo},
title = {Discontinuous approximation of viscous two-phase flow in heterogeneous porous
media},
year = {2016},
volume = {321},
pages = {126--150},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
doi = {10.1016/j.jcp.2016.05.043},
url = {./myPapers/bkkr_jcp16.pdf},
pubtype = {paper}
}
@article{bkmrv_acom21,
author = {B\"urger, Raimund and Kumar, Sarvesh and Mora, David and Ruiz-Baier, Ricardo and Verma, Nitesh},
title = {Virtual element methods for the three-field formulation
of time-dependent linear poroelasticity},
year = {2021},
pages = {e2(1--37)},
volume = {47},
journal = {Adv. Comput. Math.},
fjournal = {Advances in {C}omputational {M}athematics},
url = {./myPapers/bkmrv_acom21.pdf},
doi = {10.1007/s10444-020-09826-7},
pubtype = {paper}
}
@article{bkr_jcp15,
author = {B\"urger, Raimund and Kumar, Sarvesh and Ruiz-Baier, Ricardo},
title = {Discontinuous finite volume element
discretization for coupled flow--transport problems arising in models of sedimentation},
year = {2015},
volume = {299},
pages = {446--471},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
doi = {10.1016/j.jcp.2015.07.020},
url = {./myPapers/bkr_jcp15.pdf},
pubtype = {paper}
}
@article{bkrt_sisc18,
author = {B\"urger, Raimund and Kumar Kenettinkara, Sudarshan and Ruiz-Baier, Ricardo and Torres, H\'ector},
title = {Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption},
journal = {{SIAM} J. Sci. Comput.},
fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
year = {2018},
volume = {40},
pages = {B637--B662},
number = {2},
doi = {10.1137/17M1125820},
url = {./myPapers/bkrt_sisc18-crop.pdf},
pubtype = {paper}
}
@article{bmr_cmame20,
author = {B\"urger, Raimund and M\'endez, Paul E. and Ruiz-Baier, Ricardo},
title = {Convergence of {H}(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
year = {2020},
volume = {367},
pages = {e113130(1--24)},
doi = {10.1016/j.cma.2020.113130},
url = {./myPapers/bmr_cmame20.pdf},
pubtype = {paper}
}
@article{bmr_sinum19,
author = {B\"urger, Raimund and M\'endez, Paul E. and Ruiz-Baier, Ricardo},
title = {On H(div)-conforming methods for double-diffusion equations in porous media},
fjournal = {{SIAM} {J}ournal on {N}umerical {A}nalysis},
journal = {{SIAM} J. Numer. Anal.},
year = {2019},
volume = {57},
number = {3},
pages = {1318--1343},
url = {./myPapers/bmr_sinum19-crop.pdf},
doi = {10.1137/18M1196108},
pubtype = {paper}
}
@article{br_sema09,
author = {B\"urger, Raimund and Ruiz-Baier, Ricardo},
title = {Multiresolution simulation of reaction-diffusion systems with
strong degeneracy},
journal = {Bol. Soc. Esp. Mat. Apl. SeMA},
fjournal = {SeMA Journal: Bolet\'{\i}n de la Sociedad Espa\~nola de Matem\'atica
Aplicada},
volume = {47},
year = {2009},
pages = {73--80},
issn = {1575-9822},
doi = {http://dialnet.unirioja.es/servlet/articulo?codigo=3015329},
url = {./myPapers/br_sema09.pdf},
pubtype = {paper}
}
@article{brs_jsc10,
author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Schneider, Kai},
doi = {10.1007/s10915-010-9356-3},
url = {./myPapers/brs_jsc10.pdf},
issn = {0885-7474},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
pages = {261--290},
publisher = {Springer Verlag},
title = {Adaptive multiresolution methods for the
simulation of waves in excitable media},
volume = {43},
number = {2},
year = {2010},
pubtype = {paper}
}
@article{brss_m2an08,
author = {B\"urger, Raimund and Ruiz, Ricardo and Schneider, Kai and
Sep\'ulveda, Mauricio},
title = {Fully adaptive multiresolution schemes for strongly degenerate
parabolic equations in one space dimension},
journal = {ESAIM: Math. Model. Numer. Anal.},
fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
volume = {42},
year = {2008},
number = {4},
pages = {535--563},
doi = {10.1051/m2an:2008016},
url = {./myPapers/brss_m2an08.pdf},
pubtype = {paper}
}
@article{brss_jem08,
author = {B\"urger, Raimund and Ruiz, Ricardo and Schneider, Kai and
Sep\'ulveda, Mauricio},
title = {Fully adaptive multiresolution schemes for strongly degenerate
parabolic equations with discontinuous flux},
journal = {J. Engrg. Math.},
fjournal = {Journal of Engineering Mathematics},
volume = {60},
year = {2008},
number = {3-4},
pages = {365--385},
doi = {10.1007/s10665-007-9162-6},
url = {./myPapers/brss_jem08.pdf},
pubtype = {paper}
}
@article{brst_ijnam12,
author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Schneider,
Kai and Torres, H\'ector},
journal = {Int. J. Numer. Anal. Model.},
fjournal = {International {J}ournal of {N}umerical {A}nalysis \& {M}odeling},
number = {3},
pages = {479--504},
title = {A multiresolution method for the simulation of
sedimentation in inclined channels},
volume = {9},
year = {2012},
url = {./myPapers/brst_ijnam12.pdf},
doi = {http://www.global-sci.org/ijnam/readabs.php?vol=9&no=3&doc=479&year=2012&ppage=504},
pubtype = {paper}
}
@article{brt_matcom17,
author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Tian, Canrong},
title = {Stability analysis and finite volume element discretization for
delay-driven spatio-temporal patterns in a predator-prey model},
year = {2017},
journal = {Math. Comput. Simul.},
fjournal = {Mathematics and {C}omputers in {S}imulation},
url = {./myPapers/brt_matcom17.pdf},
volume = {132},
pages = {28--52},
doi = {10.1016/j.matcom.2016.06.002},
pubtype = {paper}
}
@article{brt_sisc12,
author = {B\"urger, Raimund and Ruiz-Baier, Ricardo and Torres, H\'ector},
doi = {10.1137/110836559},
url = {./myPapers/brt_sisc12-crop.pdf},
journal = {{SIAM} J. Sci. Comput.},
fjournal = {{SIAM} {J}ournal on {S}cientific {C}omputing},
pages = {B265--B289},
title = {A stabilized finite volume element formulation for
sedimentation-consolidation processes},
volume = {34},
number = {3},
year = {2012},
pubtype = {paper}
}
@article{cgor_nmpde17,
author = {Cama\~no, Jessika and Oyarz\'ua, Ricardo and Gatica, Gabriel N. and Ruiz-Baier, Ricardo},
title = {An augmented stress-based mixed finite element method
for the steady state Navier-Stokes equations with nonlinear viscosity},
year = {2017},
volume = {33},
number = {5},
pages = {1692--1725},
journal = {Numer. Methods Part. Diff. Eqns.},
fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
doi = {10.1002/num.22166},
url = {./myPapers/cgor_nmpde17.pdf},
pubtype = {paper}
}
@article{cgorv_cmame15,
author = {Cama\~no, Jessika and Oyarz\'ua, Ricardo and Gatica, Gabriel N. and Ruiz-Baier, Ricardo
and Venegas, Pablo},
title = {New fully-mixed finite element methods
for the Stokes-Darcy coupling},
year = {2015},
volume = {295},
pages = {362--395},
doi = {10.1016/j.cma.2015.07.007},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/cgorv_cmame15.pdf},
pubtype = {paper}
}
@article{cort_ima18,
author = {Cama\~no, Jessika and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo and Tierra, Giordano},
title = {Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
year = {2018},
volume = {38},
number = {3},
pages = {1452--1484},
url = {./myPapers/cort_ima18.pdf},
doi = {10.1093/imanum/drx039},
pubtype = {paper}
}
@article{cimr_nmpde24,
author = {Caraballo, Ruben and In, Chansophea Wathanak and Alberto F Mart\'in and Ricardo Ruiz-Baier},
title = {Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form},
year = {2024},
volume = {40},
number = {3},
pages = {e23083(1--26)},
journal = {Numer. Methods Part. Diff. Eqns.},
fjournal = {Numerical {M}ethods for {P}artial {D}ifferential {E}quations},
doi = {10.1002/num.23083},
url = {./myPapers/cimr_nmpde24.pdf},
pubtype = {paper}
}
@article{cfgr_jtb17,
author = {Cherubini, Christian and Filippi, Simonetta and Gizzi, Alessio and Ruiz-Baier, Ricardo},
title = {A note on stress-driven anisotropic diffusion and its role in active
deformable media},
year = {2017},
journal = {J. Theor. Biol.},
fjournal = {Journal of Theoretical Biology},
url = {./myPapers/cfgr_jtb17.pdf},
pages = {221--228},
volume = {430},
number = {7},
doi = {10.1016/j.jtbi.2017.07.013},
pubtype = {paper}
}
@article{cgmr_jcm20,
author = {Colmenares, Eligio and Gatica, Gabriel N. and Moraga, Sebastian and Ruiz-Baier, Ricardo},
title = {A fully-mixed finite element method for the steady-state {O}berbeck-{B}oussinesq system},
year = {2020},
volume = {6},
pages = {125--157},
journal = {SMAI J. Comput. Math.},
fjournal = {The SMAI Journal of Computational Mathematics},
doi = {10.5802/smai-jcm.64},
url = {./myPapers/cgmr_jcm20.pdf},
pubtype = {paper}
}
@article{cgr_m2an23,
title = {New mixed finite element methods for the coupled {Stokes/
Poisson--Nernst--Planck} equations in {B}anach spaces},
author = {Correa, Claudio I and Gatica, Gabriel N and Ruiz-Baier, Ricardo},
year = {2023},
volume = {57},
pages = {1511--1551},
journal = {ESAIM: Math. Model. Numer. Anal.},
fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
doi = {10.1051/m2an/2023024},
url = {./myPapers/cgr_m2an23.pdf},
pubtype = {paper}
}
@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},
title = {Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue},
year = {2020},
pages = {425--446},
volume = {84},
journal = {Appl. Math. Model.},
fjournal = {Applied Mathematical Modelling},
url = {./myPapers/dgkrv_amm20.pdf},
doi = {10.1016/j.apm.2020.04.014},
pubtype = {paper}
}
@article{dmr_jcp19,
author = {De Oliveira Vilaca, Luis Miguel and Milinkovitch, Michel C. and Ruiz-Baier, Ricardo},
title = {Numerical approximation of a {3D} mechanochemical interface model for skin patterning},
year = {2019},
pages = {383--404},
volume = {384},
doi = {10.1016/j.jcp.2019.01.023},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
url = {./myPapers/dmr_jcp19.pdf},
pubtype = {paper}
}
@article{dfgqr_mmas15,
author = {Dupraz, Marie and Filippi, Simonetta and Gizzi, Alessio and
Quarteroni, Alfio and Ruiz-Baier, Ricardo},
title = {Finite element and finite volume-element simulation of
pseudo-ECGs and cardiac alternans},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
url = {./myPapers/dfgqr_mma15.pdf},
doi = {10.1002/mma.3127},
volume = {38},
number = {6},
year = {2015},
pages = {1046--1058},
pubtype = {paper}
}
@article{dgr_jsc23,
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},
author = {Dehghan, Mehdi and Gharibi, Zeinab and Ruiz-Baier, Ricardo},
year = {2023},
volume = {94},
pages = {e72(1--50)},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
doi = {10.1007/s10915-023-02126-4},
url = {./myPapers/dgr_jsc23.pdf},
pubtype = {paper}
}
@article{fglor_cmame21,
author = {Farrell, Patrick E. and Gatica, Luis F. and Lamichhane, Bishnu P. and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo},
title = {Mixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticity},
year = {2021},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/fglor_cmame21.pdf},
pages = {e113562(1--24)},
volume = {374},
doi = {10.1016/j.cma.2020.113562},
pubtype = {paper}
}
@article{girs_jnm22,
author = {Gatica, Gabriel N. and Inzunza, Cristian and Ruiz-Baier, Ricardo and Sandoval, Felipe},
title = {A posteriori error analysis of {B}anach spaces-based fully-mixed finite element methods for {B}oussinesq-type models},
year = {2022},
volume = {30},
number = {4},
pages = {1--32},
url = {./myPapers/girs_jnm22.pdf},
fjournal = {Journal of Numerical Mathematics},
journal = {J. Numer. Math.},
doi = {10.1515/jnma-2021-0101},
pubtype = {paper}
}
@article{ggr_jcam22,
author = {Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and Ruiz-Baier, Ricardo},
title = {A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems},
year = {2022},
volume = {409},
pages = {e114144(1--23)},
fjournal = {Journal of Computational and Applied Mathematics},
journal = {J. Comput. Appl. Math.},
url = {./myPapers/ggr_jcam22.pdf},
doi = {10.1016/j.cam.2022.114144},
pubtype = {paper}
}
@article{ggr_cmame18,
author = {Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and Ruiz-Baier, Ricardo},
title = {Analysis and mixed-primal finite element discretisations
for stress-assisted diffusion problems},
year = {2018},
doi = {10.1016/j.cma.2018.03.043},
volume = {337},
pages = {411--438},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/ggr_cmame18.pdf},
pubtype = {paper}
}
@article{ggr_camwa19,
author = {Gatica, Gabriel N. and G{\'o}mez-Vargas, Bryan and Ruiz-Baier, Ricardo},
title = {Formulation and analysis of fully-mixed
finite element methods for stress-assisted diffusion problems},
year = {2019},
volume = {77},
number = {5},
pages = {1312--1330},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications},
url = {./myPapers/ggr_camwa19.pdf},
doi = {10.1016/j.camwa.2018.11.008},
pubtype = {paper}
}
@article{gmr_ima22,
author = {Gatica, Gabriel N. and Meddahi, Salim and Ruiz-Baier, Ricardo},
title = {An $\mathrm{L}^p$ spaces-based formulation yielding a new fully mixed finite
element method for the coupled Darcy and heat equations},
year = {2022},
volume = {42},
number = {4},
pages = {3154--3206},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
doi = {10.1093/imanum/drab063},
url = {./myPapers/gmr_ima22.pdf},
pubtype = {paper}
}
@article{gnr_jsc23,
title = {Mixed-primal methods for natural convection driven phase change with {Navier--Stokes--Brinkman} equations},
author = {Gatica, Gabriel N and N\'u\~nez, Nicolas and Ruiz-Baier, Ricardo},
year = {2023},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
volume = {95},
pages = {e79(1--38)},
doi = {10.1007/s10915-023-02202-9},
url = {./myPapers/gnr_jsc23.pdf},
pubtype = {paper}
}
@article{gnr_jnm23,
title = {New non-augmented mixed finite element methods for the
{N}avier--{S}tokes--{B}rinkman equations using {B}anach spaces},
author = {Gatica, Gabriel N and N\'u\~nez, Nicol\'as and Ruiz-Baier, Ricardo},
year = {2023},
volume = {31},
number = {4},
pages = {343--373},
fjournal = {Journal of Numerical Mathematics},
journal = {J. Numer. Math.},
doi = {10.1515/jnma-2022-0073},
url = {./myPapers/gnr_jnm23.pdf},
pubtype = {paper}
}
@article{gors_camwa21,
author = {Gatica, Gabriel N. and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo and Sobral, Yuri D.},
title = {Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds},
year = {2021},
volume = {84},
pages = {244--276},
url = {./myPapers/gors_camwa21.pdf},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications},
doi = {10.1016/j.camwa.2021.01.001},
pubtype = {paper}
}
@article{grt_mc16,
author = {Gatica, Gabriel N. and Ruiz-Baier, Ricardo and Tierra, Giordano},
title = {A mixed finite element method for the Darcy equations with pressure-dependent porosity},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
url = {./myPapers/grt_mc16.pdf},
year = {2016},
volume = {85},
number = {297},
pages = {1--33},
doi = {10.1090/mcom/2980},
pubtype = {paper}
}
@article{grt_cma16,
author = {Gatica, Gabriel N. and Ruiz-Baier, Ricardo and Tierra, Giordano},
title = {A posteriori error analysis of an augmented mixed
method for the Navier-Stokes equations with nonlinear viscosity},
year = {2016},
volume = {72},
number = {9},
pages = {2289--2310},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications},
url = {./myPapers/grt_cma16.pdf},
doi = {10.1016/j.camwa.2016.08.032},
pubtype = {paper}
}
@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},
title = {Nonlinear diffusion and thermo-electric coupling in a two-variable model of cardiac action potential},
year = {2017},
volume = {27},
pages = {e093919(1--11)},
journal = {Chaos},
fjournal = {Chaos},
doi = {10.1063/1.4999610},
url = {./myPapers/glr_chaos17.pdf},
pubtype = {paper}
}
@article{gmrv_sinum23,
title = {Twofold saddle-point formulation of {B}iot poroelasticity with stress-dependent diffusion},
author = {G{\'o}mez-Vargas, Bryan and Mardal, Kent-Andr\'e and Ruiz-Baier, Ricardo and Vinje, Vegard},
year = {2023},
fjournal = {{SIAM} {J}ournal on {N}umerical {A}nalysis},
journal = {{SIAM} J. Numer. Anal.},
doi = {10.1137/21M1449695},
volume = {63},
number = {3},
pages = {1449--1481},
url = {./myPapers/gmrv_sinum23-crop.pdf},
pubtype = {paper}
}
@article{kccmsr_frontiers22,
title = {A new mechanochemical model for apical constriction: coupling calcium dynamics and viscoelasticity},
author = {Katerina Kaouri and Neophytos Christodoulou and Abhishek Chakraborty and Paul E. M\'endez and Paris A. Skourides and Ricardo Ruiz-Baier},
year = {2022},
journal = {Front. Syst. Biol.},
fjournal = {Frontiers in Systems Biology},
volume = {2},
pages = {e952790(1--13)},
doi = {10.3389/fsysb.2022.962790},
url = {./myPapers/kccmsr_frontiers22.pdf},
pubtype = {paper}
}
@article{kmr_vjom22,
title = {Mechanochemical models for calcium waves in embryonic epithelia},
author = {Katerina Kaouri and Paul E. M\'endez and Ricardo Ruiz-Baier},
year = {2022},
fjournal = {Vietnam Journal of Mathematics},
journal = {Viet. J. Math.},
volume = {50},
pages = {947--975},
doi = {10.1007/s10013-022-00579-y},
url = {./myPapers/kmr_vjom22.pdf},
pubtype = {paper}
}
@article{kmr_jsc21,
author = {Khan, Arbaz and Mohan, Manil T and Ruiz-Baier, Ricardo},
title = {Conforming, nonconforming and {DG}
methods for the stationary generalized {Burgers-Huxley} equation},
year = {2021},
volume = {88},
pages = {e52(1--26)},
fjournal = {Journal of Scientific Computing},
journal = {J. Sci. Comput.},
doi = {10.1007/s10915-021-01563-3},
url = {./myPapers/kmr_jsc21.pdf},
pubtype = {paper}
}
@article{kmrv_jsc24,
author = {Kumar, Sarvesh and Mora, David and Ruiz-Baier, Ricardo and Verma, Nitesh},
title = {Numerical solution of the {B}iot/elasticity interface problem using virtual element methods},
year = {2024},
url = {./myPapers/kmrv_jsc24.pdf},
fjournal = {Journal of Scientific Computing},
journal = {J. Sci. Comput.},
volume = {98},
pages = {e53(1--32)},
doi = {10.1007/s10915-023-02444-7},
pubtype = {paper}
}
@article{kors_m2an20,
author = {Kumar, Sarvesh and Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo and Sandilya, Ruchi},
title = {Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity},
journal = {ESAIM: Math. Model. Numer. Anal.},
fjournal = {ESAIM: Mathematical Modelling and Numerical Analysis},
year = {2020},
url = {./myPapers/kors_m2an20.pdf},
volume = {54},
number = {1},
pages = {273--299},
doi = {10.1051/m2an/2019063},
pubtype = {paper}
}
@article{kr_jsc15,
journal = {J. Sci. Comput.},
fjournal = {Journal of Scientific Computing},
doi = {10.1007/s10915-015-9993-7},
title = {Equal order discontinuous finite volume element methods for the {S}tokes problem},
url = {./myPapers/kr_jsc15.pdf},
author = {Kumar, Sarvesh and Ruiz-Baier, Ricardo},
year = {2015},
number = {3},
volume = {65},
pages = {956--978},
pubtype = {paper}
}
@article{krs_jsc19,
author = {Kumar, Sarvesh and Ruiz-Baier, Ricardo and Sandilya, Ruchi},
title = {Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems},
year = {2019},
pages = {74--93},
volume = {78},
number = {1},
journal = {J. Sci. Comput.},
fjournal = {Journal of {S}cientific {C}omputing},
url = {./myPapers/krs_jsc19.pdf},
doi = {10.1007/s10915-018-0749-z},
pubtype = {paper}
}
@article{krs_camwa18,
author = {Kumar, Sarvesh and Ruiz-Baier, Ricardo and Sandilya, Ruchi},
title = {Mixed and discontinuous finite volume element schemes for the
optimal control of immiscible flow in porous media},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications},
doi = {10.1016/j.camwa.2018.05.031},
year = {2018},
volume = {76},
number = {4},
pages = {923--937},
url = {./myPapers/krs_camwa18.pdf},
pubtype = {paper}
}
@article{lrq_ijnme13,
author = {Laadhari, Aymen and Ruiz-Baier, Ricardo and Quarteroni, Alfio},
title = {Fully {E}ulerian finite element approximation of a
fluid-structure interaction problem in cardiac cells},
journal = {Int. J. Numer. Methods Engrg.},
fjournal = {International Journal for Numerical Methods in Engineering},
volume = {96},
year = {2013},
number = {11},
pages = {712--738},
doi = {10.1002/nme.4582},
url = {./myPapers/lrq_ijnme13.pdf},
pubtype = {paper}
}
@article{lrv_rinam24,
author = {Lamichhane, Bishnu P and Ruiz-Baier, Ricardo and Villa-Fuentes, Segundo},
title = {New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability},
year = {2024},
volume = {21},
pages = {e100438(1--22)},
journal = {Results Appl. Math.},
fjournal = {Results in Applied Mathematics},
url = {./myPapers/lrv_rinam24.pdf},
doi = {10.1016/j.rinam.2024.100438},
pubtype = {paper}
}
@article{lpr_jcp17,
author = {Lenarda, Pietro and Paggi, Marco and Ruiz-Baier, Ricardo},
title = {Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows},
year = {2017},
volume = {344},
pages = {281--302},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
doi = {10.1016/j.jcp.2017.05.011},
url = {./myPapers/lpr_jcp17.pdf},
pubtype = {paper}
}
@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},
title = {Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: effect of mechanical parameters on physiologically relevant biomarkers},
year = {2020},
volume = {361},
pages = {e112762(1--31)},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/lmzbwsahgkvrr_cmame20.pdf},
pubtype = {paper},
doi = {10.1016/j.cma.2019.112762}
}
@article{lrt_jcp14,
author = {Lin, Zhigui and Ruiz-Baier, Ricardo and Tian, Canrong},
title = {Finite volume element approximation of an inhomogeneous
{B}russelator model with cross-diffusion},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {256},
year = {2014},
pages = {806--823},
doi = {10.1016/j.jcp.2013.09.009},
url = {./myPapers/lrt_jcp14.pdf},
pubtype = {paper}
}
@article{lgrcff_frontiers18,
author = {Loppini, Alessandro and Gizzi, Alessio
and Ruiz-Baier, Ricardo and Cherubini, Christian and Fenton, Flavio H.
and Filippi, Simonetta},
journal = {Front. Physiol.},
fjournal = {Frontiers in Physiology},
title = {Competing mechanisms of stress-assisted diffusivity and stretch-activated currents in cardiac electromechanics},
year = {2018},
volume = {9},
pages = {e1714(1--16)},
url = {./myPapers/lgrcff_frontiers18.pdf},
doi = {10.3389/fphys.2018.01714},
pubtype = {paper}
}
@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},
title = {A poroelastic approach for modelling myocardial oedema in acute myocarditis},
year = {2022},
volume = {13},
pages = {e888515(1--14)},
doi = {10.3389/fphys.2022.888515},
journal = {Front. Physiol.},
fjournal = {Frontiers in Physiology},
url = {./myPapers/lrrrwl_frontiers22.pdf},
pubtype = {paper}
}
@article{mr_sisc23,
title = {A mixed discontinuous {G}alerkin method for a linear viscoelasticity problem with strongly imposed symmetry},
author = {Meddahi, Salim and Ruiz-Baier, Ricardo},
year = {2023},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on {S}cientific {C}omputing},
doi = {10.1137/22M1482081},
pages = {B27--B56},
volume = {45},
number = {1},
url = {./myPapers/mr_sisc23-crop.pdf},
pubtype = {paper}
}
@article{mr_nhm22,
title = {A new {DG} method for a pure--stress formulation of the {B}rinkman problem with strong symmetry},
author = {Meddahi, Salim and Ruiz-Baier, Ricardo},
year = {2022},
volume = {17},
number = {6},
pages = {893--916},
journal = {Netw. Heterog. Media},
fjournal = {Networks and Heterogeneous Media},
url = {./myPapers/mr_nhm22.pdf},
doi = {10.3934/nhm.2022031},
pubtype = {paper}
}
@article{nqr_ijnmbe12,
author = {Nobile, Fabio and Quarteroni, Alfio and Ruiz-Baier, Ricardo},
doi = {10.1002/cnm.1468},
url = {./myPapers/nqr_ijnmbe12.pdf},
journal = {Int. J. Numer. Methods Biomed. Engrg.},
fjournal = {International {J}ournal for {N}umerical {M}ethods in
{B}iomedical {E}ngineering},
number = {1},
pages = {52--71},
title = {An active strain electromechanical model for cardiac tissue},
volume = {28},
year = {2012},
pubtype = {paper}
}
@article{or_sinum16,
author = {Oyarz\'ua, Ricardo and Ruiz-Baier, Ricardo},
title = {Locking-free finite element methods for poroelasticity},
year = {2016},
number = {5},
volume = {54},
pages = {2951--2973},
doi = {10.1137/15M1050082},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM {J}ournal on {N}umerical {A}nalysis},
url = {./myPapers/or_sinum16-crop.pdf},
pubtype = {paper}
}
@article{pglr_bmmb20,
author = {Propp, Adrienne and Gizzi, Alessio and Levrero-Florencio, Francesc and
Ruiz-Baier, Ricardo},
title = {An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion},
fjournal = {Biomechanics and Modeling in Mechanobiology},
journal = {Biomech. Model. Mechanobiol.},
year = {2020},
doi = {10.1007/s10237-019-01237-y},
url = {./myPapers/pglr_bmmb20.pdf},
volume = {19},
number = {2},
pages = {633--659},
pubtype = {paper}
}
@article{qlrr_cmame17,
author = {Quarteroni, Alfio and Lassila, Toni and Rossi, Simone and Ruiz-Baier, Ricardo},
title = {Integrated Heart -- Coupled multiscale and multiphysics models for
the simulation of the cardiac function},
year = {2017},
volume = {314},
pages = {345--407},
doi = {10.1016/j.cma.2016.05.031},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/qlrr_cmame17.pdf},
pubtype = {paper}
}
@article{qr_nm11,
author = {Quarteroni, Alfio and Ruiz-Baier, Ricardo},
doi = {10.1007/s00211-011-0373-4},
url = {./myPapers/qr_nm11.pdf},
journal = {Numer. Math.},
fjournal = {Numerische {M}athematik},
number = {4},
pages = {737--764},
title = {Analysis of a finite volume element method for the {S}tokes problem},
volume = {118},
year = {2011},
pubtype = {paper}
}
@article{rrpq_ijnmbe12,
author = {Rossi, Simone and Ruiz-Baier, Ricardo and Pavarino, Luca F. and Quarteroni, Alfio},
doi = {10.1002/cnm.2473},
url = {./myPapers/rrpq_ijnmbe12.pdf},
journal = {Int. J. Numer. Methods Biomed. Engrg.},
fjournal = {International {J}ournal for {N}umerical {M}ethods in {B}iomedical {E}ngineering},
pages = {761--788},
title = {Orthotropic active strain models for the numerical simulation of cardiac biomechanics},
volume = {28},
year = {2012},
number = {6--7},
pubtype = {paper}
}
@article{rlrsq_ejmsol14,
author = {Rossi, Simone and Lassila, Toni and Ruiz-Baier, Ricardo and
Sequeira, Adelia and Quarteroni, Alfio},
title = {Thermodynamically consistent orthotropic activation model
capturing ventricular systolic wall thickening in cardiac electromechanics},
year = {2014},
doi = {10.1016/j.euromechsol.2013.10.009},
url = {./myPapers/rlrsq_ejmsol14.pdf},
journal = {Eur. J. Mech. A/Solids},
fjournal = {European Journal of Mechanics: A/Solids},
volume = {48},
pages = {129--142},
pubtype = {paper}
}
@article{ruiz_jcp15,
author = {Ruiz-Baier, Ricardo},
title = {Primal-mixed formulations for reaction-diffusion
systems on deforming domains},
year = {2015},
volume = {299},
pages = {320--338},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
url = {./myPapers/ruiz_jcp15.pdf},
doi = {10.1016/j.jcp.2015.07.018},
pubtype = {paper}
}
@article{rglcf_cicp20,
author = {Ruiz-Baier, Ricardo and Gizzi, Alessio and Loppini, Alessandro
and Cherubini, Christian and Filippi, Simonetta},
title = {Modelling thermo-electro-mechanical effects in orthotropic cardiac tissue},
year = {2020},
pages = {87--115},
volume = {27},
number = {1},
journal = {Comm. Comput. Phys.},
fjournal = {Communications in Computational Physics},
url = {./myPapers/rglcf_cicp20.pdf},
doi = {10.4208/cicp.OA-2018-0253},
pubtype = {paper}
}
@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},
issn = {1477-8599},
journal = {Math. {M}edicine {B}iol.},
fjournal = {Mathematical {M}edicine and {B}iology},
doi = {10.1093/imammb/dqt009},
url = {./myPapers/rgrclsq_mmb14.pdf},
publisher = {Oxford University Press},
title = {Mathematical modeling of active contraction in isolated cardiomyocytes},
year = {2014},
volume = {31},
number = {3},
pages = {259--283},
pubtype = {paper}
}
@article{rl_jcp16,
author = {Ruiz-Baier, Ricardo and Lunati, Ivan},
title = {Mixed finite element -- discontinuous finite volume element discretization of a general class of multicontinuum models},
year = {2016},
volume = {322},
pages = {666--688},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
url = {./myPapers/rl_jcp16.pdf},
doi = {10.1016/j.jcp.2016.06.054},
pubtype = {paper}
}
@article{rtwy_cmame22,
title = {The Biot--Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye},
author = {Ruiz-Baier, Ricardo and Taffetani, Matteo and Westermeyer, Hans D. and Yotov, Ivan},
year = {2022},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
url = {./myPapers/rtwy_cmame22.pdf},
volume = {389},
pages = {e114384(1--30)},
doi = {10.1016/j.cma.2021.114384},
pubtype = {paper}
}
@article{rt_narwa13,
author = {Ruiz-Baier, Ricardo and Tian, Canrong},
doi = {10.1016/j.nonrwa.2012.07.020},
url = {./myPapers/rt_narwa13.pdf},
journal = {Nonl. Anal.: Real World Appl.},
fjournal = {Nonlinear {A}nalysis: {R}eal {W}orld {A}pplications},
number = {1},
pages = {601--612},
title = {Mathematical analysis and numerical simulation of
pattern formation under cross-diffusion},
volume = {14},
year = {2013},
pubtype = {paper}
}
@article{rt_apnum15,
author = {Ruiz-Baier, Ricardo and Torres, H\'ector},
title = {Numerical solution of a multidimensional sedimentation
problem using finite volume-element methods},
fjournal = {Applied Numerical Mathematics},
journal = {Appl. Numer. Math.},
year = {2015},
pubtype = {paper},
volume = {95},
pages = {280--291},
doi = {10.1016/j.apnum.2013.12.006},
url = {./myPapers/rt_apnum15.pdf}
}
@article{trw_qjmam21,
title = {Coupling {S}tokes flow with inhomogeneous poroelasticity},
author = {Matteo Taffetani and Ricardo Ruiz-Baier and Sarah L Waters},
year = {2021},
fjournal = {Quarterly Journal of Mechanics and Applied Mathematics},
journal = {Quart. J. Mech. Appl. Math.},
volume = {74},
number = {4},
pages = {411--439},
url = {./myPapers/trw_qjmam21.pdf},
doi = {10.1093/qjmam/hbab014},
pubtype = {paper}
}
@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},
title = {Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media},
year = {2022},
journal = {Appl. Anal.},
fjournal = {Applicable Analysis},
url = {./myPapers/vgdkr_aa22.pdf},
volume = {101},
number = {14},
pages = {4914--4941},
doi = {10.1080/00036811.2021.1877677},
pubtype = {paper}
}
@article{wagr_jcam19,
author = {Woodfield, James and \'Alvarez, Mario and G{\'o}mez-Vargas, Bryan and Ruiz-Baier, Ricardo},
title = {Stability and finite element approximation of phase change models for natural convection in porous media},
fjournal = {Journal of Computational and Applied Mathematics},
journal = {J. Comput. Appl. Math.},
year = {2019},
pubtype = {paper},
volume = {360},
pages = {117--137},
url = {./myPapers/wagr_jcam19.pdf},
doi = {10.1016/j.cam.2019.04.003}
}