On the existence of maximum principles in parabolic finite element equations

DOI10.1090/S0025-5718-07-02021-2zbMath1128.65085OpenAlexW1992477646MaRDI QIDQ5429488

Vidar Thomée, Lars B. Wahlbin

Publication date: 30 November 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02021-2

zbMATH Keywords

maximum principlefinite elementssemidiscretizationparabolic equationslumped mass

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• A monotone finite element scheme for convection-diffusion equations
• Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
• Failure of the discrete maximum principle for an elliptic finite element problem
• Galerkin Finite Element Methods for Parabolic Problems
• Unnamed Item
• Unnamed Item

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