The lumped mass finite element method for a parabolic problem

C. M. Chen, V. Thomée

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Source: Crossref

Published: Jan 1, 1985

DOI: 10.1017/s0334270000004549

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Source abstract

Abstract For the heat equation in two space dimensions we consider semidiscrete and totally discrete variants of the lumped mass modification of the standard Galerkin method, using piecewise linear approximating functions, and demonstrate error estimates of optimal order in L 2 and of almost optimal order in L ∞ .

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