Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems
Authors:
Clint N. Dawson and Todd F. Dupont
Journal:
Math. Comp. 58 (1992), 21-34
MSC:
Primary 65N55; Secondary 65N30
DOI:
https://doi.org/10.1090/S0025-5718-1992-1106964-9
MathSciNet review:
1106964
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Abstract | References | Similar Articles | Additional Information
Abstract: Several domain decomposition methods for approximating solutions of parabolic problems are given. These methods rely on implicit Galerkin procedures in the subdomains and explicit flux calculation on the inter-domain boundaries. The procedures are conservative both in the subdomains and across inter-domain boundaries. A priori error bounds and experimental results are presented.
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- [3] C. N. Dawson, Q. Du, and T. F. Dupont, A finite difference domain decomposition algorithm for numerical solution of the heat equation, Math. Comp. 57 (1991), 63-71. MR 1079011 (91m:65254)
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M. F. Wheeler, A priori
error estimates for Galerkin approximations to parabolic partial differential equations, SIAM J. Numer. Anal. 10 (1973), 723-759. MR 0351124 (50:3613)
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1992-1106964-9
Keywords:
Domain decomposition,
parabolic equations,
finite elements,
parallel computing
Article copyright:
© Copyright 1992
American Mathematical Society