Analysis and preconditioning of parameter-robust finite element methods for Biot's consolidation model
DOI10.1007/s10543-023-00983-xzbMath1529.65071arXiv1806.11566OpenAlexW2810001934MaRDI QIDQ6169846
Publication date: 15 August 2023
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.11566
Stability in context of PDEs (35B35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Soil and rock mechanics (74L10) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite difference methods applied to problems in solid mechanics (74S20) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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