New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
DOI10.1016/j.rinam.2024.100438arXiv2306.16802WikidataQ129214359 ScholiaQ129214359MaRDI QIDQ6197622
Segundo Villa-Fuentes, Bishnu P. Lamichhane, Ricardo Ruiz-Baier
Publication date: 20 March 2024
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.16802
mixed finite element methodsfixed-point operatorsnonlinear poroelasticityHu-Washizu formulationtwofold saddle-point problems
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical solutions to equations with nonlinear operators (65J15) PDEs in connection with mechanics of deformable solids (35Q74)
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