Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems

Dawson, Clint N.; Dupont, Todd F.

doi:10.1090/S0025-5718-1992-1106964-9

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: 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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