Multiphysics mixed finite element method with Nitsche's technique for Stokes‐poroelasticity problem
DOI10.1002/num.22903arXiv2112.12421OpenAlexW4226432299WikidataQ114235124 ScholiaQ114235124MaRDI QIDQ6090435
Jiwei Cao, Unnamed Author, Zhihao Ge
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12421
time-stepping methodNitsche's technique``locking phenomenonmultiphysics mixed finite element methodStokes-poroelasticity problem
PDEs in connection with fluid mechanics (35Q35) 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) Soil and rock mechanics (74L10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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