Year: 2002
Author: Jian-Wei Hu, Cai-Hua Wang
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 479–490
Abstract
This paper provides a theoretical justification to a overlapping domain decomposition method applied to the solution of time-dependent convection-diffusion problems. The method is based on the partial upwind finite element scheme and the discrete strong maximum principle for steady problem. An error estimate in $L^\infty(0,T;L^\infty(\Omega))$ is obtained and the fact that convergence factor $\rho(\tau,h)\rightarrow 0$ exponentially as $\tau,h\rightarrow 0$ is also proved under some usual conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8933
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 479–490
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Rate of convergence Schwarz alternating method Convection-diffusion problem.