Multiplicative Schwarz Algorithm with Time Stepping Along Characteristic for Convection Diffusion Equations
Year: 2001
Author: Hong-Xing Rui, Dan-Ping Yang
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-9002
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 501–510
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Multiplicative Schwarz method Convection diffusion equation Characteristic Error estimation.