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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
A comparison of two nonconforming finite element methods for linear three-field poroelasticity
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
A stabilized linear finite element method for anisotropic poroelastodynamics with application to cardiac perfusion
Namshad Thekkethil, Simone Rossi, Hao Gao, Scott I. Heath Richardson, Boyce E. Griffith and Xiaoyu Luo Computer Methods in Applied Mechanics and Engineering 405 115877 (2023) https://doi.org/10.1016/j.cma.2022.115877
Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion
Bryan Gómez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier and Vegard Vinje SIAM Journal on Numerical Analysis 61(3) 1449 (2023) https://doi.org/10.1137/21M1449695
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
Robust Approximation of Generalized Biot-Brinkman Problems
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
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
A four-field mixed finite element method for Biot's consolidation problems
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
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model
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
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
Biot-pressure system with unilateral displacement constraints
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
Accurate discretization of poroelasticity without Darcy stability
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
Finite Element Solvers for Biot’s Poroelasticity Equations in Porous Media