@Article{JCM-20-479, author = {Hu , Jian-Wei and Wang , Cai-Hua}, title = {Rate of Convergence of Schwarz Alternating Method for Time-Dependent Convection-Diffusion Problem}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8933.html} }