Mandel's problem as a benchmark for two-dimensional nonlinear poroelasticity
DOI10.1080/00036811.2022.2091992zbMath1504.35384OpenAlexW4292023279WikidataQ114101857 ScholiaQ114101857MaRDI QIDQ5097291
Thomas Wick, Andro Mikelić, C. J. Van Duijn
Publication date: 23 August 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2022.2091992
Lyapunov functionalbenchmarknonlinear poroelasticityMandel's problemincompressible fluids and solids
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) 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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Direct numerical methods for linear systems and matrix inversion (65F05) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for PDEs of mixed type (35M13) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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