High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations

DOI10.1137/19M1244500zbMath1447.65116arXiv1902.04662OpenAlexW3101363733MaRDI QIDQ5210541

Jérôme Droniou, Robert Eymard

Publication date: 21 January 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04662

zbMATH Keywords

finite elementsStefan problemerror estimateporous medium equationnumerical schememass-lumpingdiscontinuous Galerkin (DG)nonlinear degenerate elliptic equationsgradient discretization method (GDM)

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Degenerate elliptic equations (35J70)

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