The lumped mass finite element method for a parabolic problem
- 1 January 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 26 (3) , 329-354
- https://doi.org/10.1017/s0334270000004549
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 L2 and of almost optimal order in L∞.Keywords
This publication has 1 reference indexed in Scilit:
- Single Step Galerkin Approximations for Parabolic ProblemsMathematics of Computation, 1977