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The lumped mass finite element method for a parabolic problem

Published online by Cambridge University Press:  17 February 2009

C. M. Chen  and
V. Thomée
C. M. Chen
Affiliation:
Department of Mathematics, Xiangtan University, Xiangtan, Hunan, People's Republic of China.
V. Thomée
Affiliation:
Department of Mathematics, Chalmers University of Technology, S-412 96 Göteborg, Sweden.
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Abstract

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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 L2 and of almost optimal order in L∞.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 3 , January 1985 , pp. 329 - 354
Copyright
Copyright © Australian Mathematical Society 1985

References

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