Ricardo Ruiz Baier

Assoc Professor

Accepting PhD Students

PhD projects

New mixed methods for interface problems in continuum mechanics; Mathematical modelling of large deformation and perfusion processes in biomechanics

20072020

Research output per year

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Research Output

2020

A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity

Almonacid, J. A., Gatica, G. N., Oyarzúa, R. & Ruiz-Baier, R., Jun 2020, In : Networks and Heterogeneous Media. 15, 2, p. 215-245 31 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion

Propp, A., Gizzi, A., Levrero-Florencio, F. & Ruiz-Baier, R., Apr 2020, In : Biomechanics and Modeling in Mechanobiology. 19, p. 633-659 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity

Kumar, S., Oyarzúa, R., Ruiz-Baier, R. & Sandilya, R., 2020, In : ESAIM: Mathematical Modelling and Numerical Analysis. 54, 1, p. 273-299 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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Convergence of H(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake

Bürger, R., Méndez, P. E. & Ruiz-Baier, R., 1 Aug 2020, In : Computer Methods in Applied Mechanics and Engineering. 367, 24 p., 113130.

Research output: Contribution to journalArticleResearchpeer-review

Fully-mixed finite element method for the steady-state Oberbeck-Boussinesq system

Colmenares, E., Gatica, G. N., Moraga, S. & Ruiz Baier, R., 2020, In : SMAI Journal of Computational Mathematics. 6, p. 125-157 33 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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Modelling thermo-electro-mechanical effects in orthotropic cardiac tissue

Ruiz-Baier, R., Gizzi, A., Loppini, A., Cherubini, C. & Filippi, S., Jan 2020, In : Communications in Computational Physics. 27, 1, p. 87-115 29 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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1 Citation (Scopus)

Rotation-based mixed formulations for an elasticity-poroelasticity interface problem

Anaya, V., De Wijn, Z., Gómez-Vargas, B., Mora, D. & Ruiz-Baier, R., 1 Jan 2020, In : SIAM Journal on Scientific Computing. 42, 1, p. B225-B249 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: Effect of mechanical parameters on physiologically relevant biomarkers

Levrero-Florencio, F., Margara, F., Zacur, E., Bueno-Orovio, A., Wang, Z. J., Santiago, A., Aguado-Sierra, J., Houzeaux, G., Grau, V., Kay, D., Vázquez, M., Ruiz-Baier, R. & Rodriguez, B., 1 Apr 2020, In : Computer Methods in Applied Mechanics and Engineering. 361, 21 p., 112762.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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1 Citation (Scopus)

Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue

De Oliveira Vilaca, L. M., Gómez-Vargas, B., Kumar, S., Ruiz-Baier, R. & Verma, N., Aug 2020, In : Applied Mathematical Modelling. 84, p. 425-446 22 p.

Research output: Contribution to journalArticleResearchpeer-review

Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics

Almonacid, J. A., Gatica, G. N. & Ruiz-Baier, R., 1 Mar 2020, In : Calcolo. 57, 1, 25 p., 2.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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2019

Analysis and Approximation of a Vorticity–Velocity–Pressure Formulation for the Oseen Equations

Anaya, V., Bouharguane, A., Mora, D., Reales, C., Ruiz-Baier, R., Seloula, N. & Torres, H., 15 Sep 2019, In : Journal of Scientific Computing. 80, 3, p. 1577-1606 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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1 Citation (Scopus)

Error Bounds for Discontinuous Finite Volume Discretisations of Brinkman Optimal Control Problems

Kumar, S., Ruiz-Baier, R. & Sandilya, R., 15 Jan 2019, In : Journal of Scientific Computing. 78, 1, p. 64-93 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
1 Citation (Scopus)

Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems

Gatica, G. N., Gomez-Vargas, B. & Ruiz-Baier, R., 1 Mar 2019, In : Computers and Mathematics with Applications. 77, 5, p. 1312-1330 19 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

Anaya, V., Gómez-Vargas, B., Mora, D. & Ruiz-Baier, R., 1 Jun 2019, In : Comptes Rendus Mathematique. 357, 6, p. 552-560 9 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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1 Citation (Scopus)

Mixed displacement–rotation–pressure formulations for linear elasticity

Anaya, V., de Wijn, Z., Mora, D. & Ruiz-Baier, R., 1 Feb 2019, In : Computer Methods in Applied Mechanics and Engineering. 344, p. 71-94 24 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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2 Citations (Scopus)

New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media

Alvarez, M., Gatica, G. N., Gomez-Vargas, B. & Ruiz-Baier, R., 15 Jul 2019, In : Journal of Scientific Computing. 80, 1, p. 141-174 34 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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4 Citations (Scopus)

Numerical approximation of a 3D mechanochemical interface model for skin patterning

De Oliveira Vilaca, L. M., Milinkovitch, M. C. & Ruiz-Baier, R., 1 May 2019, In : Journal of Computational Physics. 384, p. 383-404 22 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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2 Citations (Scopus)

ON H(div)-Conforming methods for double-diffusion equations in porous media

Bürger, R., Mendez, P. E. & Ruiz-Baier, R., 1 Jan 2019, In : SIAM Journal on Numerical Analysis. 57, 3, p. 1318-1343 26 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Stability and finite element approximation of phase change models for natural convection in porous media

Woodfield, J., Alvarez, M., Gómez-Vargas, B. & Ruiz-Baier, R., 1 Nov 2019, In : Journal of Computational and Applied Mathematics. 360, p. 117-137 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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6 Citations (Scopus)

Vorticity-pressure formulations for the Brinkman-Darcy coupled problem

Anaya, V., Mora, D., Reales, C. & Ruiz-Baier, R., 1 Mar 2019, In : Numerical Methods for Partial Differential Equations. 35, 2, p. 528-544 17 p.

Research output: Contribution to journalArticleResearchpeer-review

2018

Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems

Gatica, G. N., Gomez-Vargas, B. & Ruiz-Baier, R., 1 Aug 2018, In : Computer Methods in Applied Mechanics and Engineering. 337, p. 411-438 28 p.

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

A posteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems

Alvarez, M., Gatica, G. N. & Ruiz-Baier, R., 15 Aug 2018, In : Journal of Computational Physics. 367, p. 322-346 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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4 Citations (Scopus)

Competing mechanisms of stress-assisted diffusivity and stretch-activated currents in cardiac electromechanics

Loppini, A., Gizzi, A., Ruiz-Baier, R., Cherubini, C., Fenton, F. H. & Filippi, S., 3 Dec 2018, In : Frontiers in Physiology. 9, 16 p., 1714.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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6 Citations (Scopus)

Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: Some recent advances

Bürger, R., Careaga, J., Diehl, S., Mejías, C. & Baier, R. R., 1 Jan 2018, Proceedings of the International Congress of Mathematicians, ICM 2018: 2018 International Congress of Mathematicians, ICM 2018; Rio de Janeiro; Brazil; 1 August 2018 through 9 August 2018. Sirakov, B., de Souza, P. N. & Viana, M. (eds.). Singapore: World Scientific Publishing, Vol. 4. p. 3507-3532 30 p. (Proceedings of the International Congress of Mathematicians; vol. 4).

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

Open Access
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1 Citation (Scopus)

Coupling of discontinuous galerkin schemes for viscous flow in porous media with adsorption

Bürger, R., Kenettinkara, S. K., Baier, R. R. & Torres, H., 24 Apr 2018, In : SIAM Journal on Scientific Computing. 40, 2, p. B637-B662 26 p.

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Discontinuous approximation of flow in porous media with adsorption

Bürger, R., Sudarshan Kumar, K., Ruiz Baier, R. & Torres, H., 17 Dec 2018, Proceedings in Applied Mathematics and Mechanics. 1 ed. Vol. 18. 2 p. e201800064

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions

Camaño, J., Oyarzúa, R., Ruiz-Baier, R. & Tierra, G., 17 Jul 2018, In : IMA Journal of Numerical Analysis. 38, 3, p. 1452-1484 33 p.

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media

Kumar, S., Ruiz-Baier, R. & Sandilya, R., 15 Aug 2018, In : Computers and Mathematics with Applications. 76, 4, p. 923-937 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics

Gizzi, A., Propp, A. & Ruiz Baier, R., 2018, ICNumACA'18: Proceedings of the International Conference on Numerical Analysis, Computing and Applications. Mallayya, M. (ed.). p. 1-18 18 p.

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

On a vorticity-based formulation for reaction-diffusion-Brinkman systems

Anaya, V., Bendahmane, M., Mora, D. & Baier, R. R., 1 Jan 2018, In : Networks and Heterogeneous Media. 13, 1, p. 69-94 26 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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5 Citations (Scopus)

Stability of a second-order method for phase change in porous media flow

Alvarez, M., Gómez-Vargas, B., Ruiz Baier, R. & Woodfield, J., 2018, Proceedings in Applied Mathematics and Mechanics. 1 ed. Vol. 18. p. 1-2 2 p. e201800021

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

2017

An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity

Camaño, J., Gatica, G. N., Oyarzúa, R. & Ruiz-Baier, R., 1 Sep 2017, In : Numerical Methods for Partial Differential Equations. 33, 5, p. 1692-1725 34 p.

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)

A note on stress-driven anisotropic diffusion and its role in active deformable media

Cherubini, C., Filippi, S., Gizzi, A. & Ruiz-Baier, R., 7 Oct 2017, In : Journal of Theoretical Biology. 430, p. 221-228 8 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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16 Citations (Scopus)

A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem

Álvarez, M., Gatica, G. N. & Ruiz-Baier, R., 1 Dec 2017, In : Calcolo. 54, 4, p. 1491-1519 29 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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3 Citations (Scopus)

Discontinuous finite volume element methods for the optimal control of Brinkman equations

Kumar, S., Ruiz-Baier, R. & Sandilya, R., 1 Jan 2017, Springer Proceedings in Mathematics and Statistics: 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017; Lille; France; 12 June 2017 through 16 June 2017. Omnes, P. & Cances, C. (eds.). Cham Switzerland: Springer, Vol. 200. p. 307-315 9 p. (Springer Proceedings in Mathematics and Statistics; vol. 200).

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Open Access
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2 Citations (Scopus)

Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function

Quarteroni, A., Lassila, T., Rossi, S. & Ruiz-Baier, R., 1 Feb 2017, In : Computer Methods in Applied Mechanics and Engineering. 314, p. 345-407 63 p.

Research output: Contribution to journalArticleResearchpeer-review

61 Citations (Scopus)

Mixed Methods for a Stream-Function – Vorticity Formulation of the Axisymmetric Brinkman Equations

Anaya, V., Mora, D., Reales, C. & Ruiz-Baier, R., 1 Apr 2017, In : Journal of Scientific Computing. 71, 1, p. 348-364 17 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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4 Citations (Scopus)

Nonlinear diffusion and thermo-electric coupling in a two-variable model of cardiac action potential

Gizzi, A., Loppini, A., Ruiz-Baier, R., Ippolito, A., Camassa, A., Camera, A. L., Emmi, E., Perna, L. D., Garofalo, V., Cherubini, C. & Filippi, S., 1 Sep 2017, In : Chaos. 27, 9, 11 p., 093919.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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11 Citations (Scopus)

Partitioned coupling of advection–diffusion–reaction systems and Brinkman flows

Lenarda, P., Paggi, M. & Ruiz Baier, R., 1 Sep 2017, In : Journal of Computational Physics. 344, p. 281-302 22 p.

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Pure vorticity formulation and Galerkin discretization for the Brinkman equations

Anaya, V., Mora, D. & Ruiz-Baier, R., 1 Oct 2017, In : IMA Journal of Numerical Analysis. 37, 4, p. 2020-2041 22 p.

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator–prey model

Bürger, R., Ruiz-Baier, R. & Tian, C., 1 Feb 2017, In : Mathematics and Computers in Simulation. 132, p. 28-52 25 p.

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)
2016

A discontinuous method for oil-water flow in heterogeneous porous media

Bürger, R., Kumar, S., Sudarshan Kumar, K. & Ruiz Baier, R., 2016, Proceedings in Applied Mathematics and Mechanics. 1 ed. Germany: Wiley-VCH Verlag GmbH & Co. KGaA, Vol. 16. p. 763-764 2 p. (Proceedings in Applied Mathematics and Mechanics; vol. 16, no. 1).

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

Open Access
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A mixed finite element method for Darcy's equations with pressure dependent porosity

Gatica, G. N., Ruiz-Baier, R. & Tierra, G., Jan 2016, In : Mathematics of Computation. 85, 297, p. 1-33 33 p.

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

A mixed-primal finite element approximation of a sedimentation-consolidation system

Alvarez, M., Gatica, G. N. & Ruiz-Baier, R., 1 May 2016, In : Mathematical Models and Methods in Applied Sciences. 26, 5, p. 867-900 34 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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10 Citations (Scopus)

A posteriori error analysis for a viscous flow-transport problem â

Alvarez, M., Gatica, G. N. & Ruiz-Baier, R., 1 Nov 2016, In : ESAIM: Mathematical Modelling and Numerical Analysis. 50, 6, p. 1789-1816 28 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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12 Citations (Scopus)

A posteriori error analysis of an augmented mixed method for the Navier–Stokes equations with nonlinear viscosity

Gatica, G. N., Ruiz-Baier, R. & Tierra, G., 1 Nov 2016, In : Computers and Mathematics with Applications. 72, 9, p. 2289-2310 22 p.

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem

Anaya, V., Mora, D., Oyarzúa, R. & Ruiz-Baier, R., 1 Aug 2016, In : Numerische Mathematik. 133, 4, p. 781-817 37 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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17 Citations (Scopus)

A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem

Alvarez, M., Gatica, G. N. & Ruiz-Baier, R., 1 Aug 2016, In : Computer Methods in Applied Mechanics and Engineering. 307, p. 68-95 28 p.

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Discontinuous approximation of viscous two-phase flow in heterogeneous porous media

Bürger, R., Kumar, S., Sudarshan Kumar, K. & Ruiz-Baier, R., 15 Sep 2016, In : Journal of Computational Physics. 321, p. 126-150 25 p.

Research output: Contribution to journalArticleResearchpeer-review

10 Citations (Scopus)

Locking-free finite element methods for poroelasticity

Oyarzúa, R. & Ruiz-Baier, R., 1 Jan 2016, In : SIAM Journal on Numerical Analysis. 54, 5, p. 2951-2973 23 p.

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)