Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems

DOI10.4208/nmtma.2011.m1024zbMath1265.65199arXiv1008.0562OpenAlexW2046982986MaRDI QIDQ2916269

Weizhang Huang

Publication date: 5 October 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0562

zbMATH Keywords

numerical resultsfinite elementmesh generationdiscrete maximum principleanisotropic diffusion

Mathematics Subject Classification ID

Heat equation (35K05) Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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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