@Article{JCM-20-5,
author = {Jian-Wei, Hu 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 = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/2002-JCM-8933},
url = {https://global-sci.com/article/85423/rate-of-convergence-of-schwarz-alternating-method-for-time-dependent-convection-diffusion-problem}
}