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 - <p style="text-align: justify;">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. &nbsp;</p>