Volume 19, Issue 5
Multiplicative Schwarz Algorithm with Time Stepping Along Characteristic for Convection Diffusion Equations

Hong Xing Rui & Dan Ping Yang

J. Comp. Math., 19 (2001), pp. 501-510

Published online: 2001-10

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  • Abstract

Based on domain decomposition,we give two multiplicative schwarz methods with time stepping along characteristic for semi-linear, convection diffusion parabolic problems. We give some a priori error estimates, which tell us that the convergence of the approximate solution are independent of the iteration times at every time-level. Finally we give some numerical examples.

  • Keywords

Multiplicative Schwarz method Convection diffusion equation Characteristic Error estimation

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@Article{JCM-19-501, author = {}, title = {Multiplicative Schwarz Algorithm with Time Stepping Along Characteristic for Convection Diffusion Equations}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {5}, pages = {501--510}, abstract = { Based on domain decomposition,we give two multiplicative schwarz methods with time stepping along characteristic for semi-linear, convection diffusion parabolic problems. We give some a priori error estimates, which tell us that the convergence of the approximate solution are independent of the iteration times at every time-level. Finally we give some numerical examples. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9002.html} }
TY - JOUR T1 - Multiplicative Schwarz Algorithm with Time Stepping Along Characteristic for Convection Diffusion Equations JO - Journal of Computational Mathematics VL - 5 SP - 501 EP - 510 PY - 2001 DA - 2001/10 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9002.html KW - Multiplicative Schwarz method KW - Convection diffusion equation KW - Characteristic KW - Error estimation AB - Based on domain decomposition,we give two multiplicative schwarz methods with time stepping along characteristic for semi-linear, convection diffusion parabolic problems. We give some a priori error estimates, which tell us that the convergence of the approximate solution are independent of the iteration times at every time-level. Finally we give some numerical examples.
Hong Xing Rui & Dan Ping Yang. (1970). Multiplicative Schwarz Algorithm with Time Stepping Along Characteristic for Convection Diffusion Equations. Journal of Computational Mathematics. 19 (5). 501-510. doi:
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