Resolvent Estimates in l_p for Discrete Laplacians on Irregular Meshes and Maximum-norm Stability of Parabolic Finite Difference Schemes

DOI10.2478/cmam-2001-0001zbMath0987.65093OpenAlexW2040110431MaRDI QIDQ2723223

Vidar Thomée, Michel Crouzeix

Publication date: 1 August 2001

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228048

zbMATH Keywords

heat equationfinite element methodfinite difference methodsemidiscretizationDelaunay triangulationlinear parabolic equationstability estimatetime discretizationresolvent estimatemaximum-norm

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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