Error estimates and adaptivity of the space-time discontinuous Galerkin method for solving the Richards equation

DOI10.1007/s10915-024-02650-xzbMath1547.65138MaRDI QIDQ6608117

Miloslav Vlasák, Hyun-Geun Shin, Vít Dolejší

Publication date: 19 September 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

a posteriori error estimateRichards equationspace-time discontinuous Galerkin method\(hp\)-mesh adaptation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) 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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