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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 is 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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COPYRIGHT: © Global Science Press

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@Article{JCM-19-501, author = {Rui , Hong-Xing and Yang , Dan-Ping}, 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 is 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 AU - Rui , Hong-Xing AU - Yang , Dan-Ping 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, Convection diffusion equation, Characteristic, 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 is independent of the iteration times at every time-level. Finally we give some numerical examples.  

Rui , Hong-Xing and Yang , Dan-Ping. (2001). 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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