Adaptive finite element solution of the porous medium equation in pressure formulation

DOI10.1002/NUM.22347zbMath1418.65135arXiv1801.01566OpenAlexW2781610065WikidataQ115397892 ScholiaQ115397892MaRDI QIDQ5227306

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Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01566

zbMATH Keywords

finite element methodDarcy's lawporous medium equationfree boundaryadaptive moving mesh methodpressure formulationMMPDE method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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