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Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem
Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín and Ricardo Ruiz-Baier Computers & Mathematics with Applications 157 173 (2024) https://doi.org/10.1016/j.camwa.2023.12.038
Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods
Robust finite element methods and solvers for the Biot–Brinkman equations in vorticity form
Ruben Caraballo, Chansophea Wathanak In, Alberto F. Martín and Ricardo Ruiz‐Baier Numerical Methods for Partial Differential Equations 40(3) (2024) https://doi.org/10.1002/num.23083
DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws
T. Dzanic, K. Mittal, D. Kim, J. Yang, S. Petrides, B. Keith and R. Anderson Journal of Computational Physics 506 112924 (2024) https://doi.org/10.1016/j.jcp.2024.112924
Analysis of two discontinuous Galerkin finite element methods for the total pressure formulation of linear poroelasticity model
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
Nitesh Verma, Bryan Gómez-Vargas, Luis Miguel De Oliveira Vilaca, Sarvesh Kumar and Ricardo Ruiz-Baier Applicable Analysis 101(14) 4914 (2022) https://doi.org/10.1080/00036811.2021.1877677
VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA
A new practical framework for the stability analysis of perturbed saddle-point problems and applications
Qingguo Hong, Johannes Kraus, Maria Lymbery and Fadi Philo Mathematics of Computation 92(340) 607 (2022) https://doi.org/10.1090/mcom/3795
The Biot–Stokes coupling using total pressure: Formulation, analysis and application to interfacial flow in the eye
Ricardo Ruiz-Baier, Matteo Taffetani, Hans D. Westermeyer and Ivan Yotov Computer Methods in Applied Mechanics and Engineering 389 114384 (2022) https://doi.org/10.1016/j.cma.2021.114384
Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers
Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal and Ricardo Ruiz-Baier Journal of Computational Physics 467 111464 (2022) https://doi.org/10.1016/j.jcp.2022.111464
A Robust and Mass Conservative Virtual Element Method for Linear Three-field Poroelasticity
Parameter-Robust Methods for the Biot-Stokes Interfacial Coupling Without Lagrange Multipliers
Wietse Marijn Boon, Martin Hornkjøl, Miroslav Kuchta, Kent Andre Mardal and Ricardo Ruiz-Baier SSRN Electronic Journal (2021) https://doi.org/10.2139/ssrn.3967210
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model
Ricardo Oyarzúa, Sander Rhebergen, Manuel Solano and Paulo Zúñiga ESAIM: Mathematical Modelling and Numerical Analysis 55 S475 (2021) https://doi.org/10.1051/m2an/2020045
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier and Nitesh Verma Advances in Computational Mathematics 47(1) (2021) https://doi.org/10.1007/s10444-020-09826-7
A four-field mixed finite element method for Biot's consolidation problems
Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot’s consolidation model
Johannes Kraus, Philip L. Lederer, Maria Lymbery and Joachim Schöberl Computer Methods in Applied Mechanics and Engineering 384 113991 (2021) https://doi.org/10.1016/j.cma.2021.113991
Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation
Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure
Wietse M. Boon, Miroslav Kuchta, Kent-Andre Mardal and Ricardo Ruiz-Baier SIAM Journal on Scientific Computing 43(4) B961 (2021) https://doi.org/10.1137/20M1379708
Finite Element Solvers for Biot’s Poroelasticity Equations in Porous Media