Design and convergence analysis for an adaptive discretization of the heat equation

DOI10.1093/imanum/drr026zbMath1261.65092OpenAlexW2331190391MaRDI QIDQ4649629

Christian Kreuzer, Christian A. Möller, Alfred Schmidt, Kunibert G. Siebert

Publication date: 12 November 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr026

zbMATH Keywords

algorithmconvergenceheat equationerror boundparabolic problemsadaptive finite elementsimplicit Euler discretization

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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