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Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models
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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
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 Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form
Wietse M. Boon, Timo Koch, Miroslav Kuchta and Kent-André Mardal SIAM Journal on Scientific Computing 44(4) B1148 (2022) https://doi.org/10.1137/21M1452974
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
On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces
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
On a saddle point problem arising from magneto-elastic coupling
On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly incompressible elasticity
Thanh Hai Ong, Claire E. Heaney, Chang-Kye Lee, G.R. Liu and H. Nguyen-Xuan Computer Methods in Applied Mechanics and Engineering 285 315 (2015) https://doi.org/10.1016/j.cma.2014.10.022
BEST N-TERM GPC APPROXIMATIONS FOR A CLASS OF STOCHASTIC LINEAR ELASTICITY EQUATIONS