Contractivity and analyticity in \(l^p\) of some approximation of the heat equation

DOI10.1023/A:1025512021335zbMath1034.65076MaRDI QIDQ1410463

Michel Crouzeix

Publication date: 14 October 2003

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

maximum principleheat equationfinite elementsfinite differencesresolvent estimatescontractivitydiscrete semigroupDelaunay conditionlump mass method

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)

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