@Article{NMTMA-2-301,
author = {Liyong Zhu, Guangwei Yuan and Qiang Du},
title = {An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2009},
volume = {2},
number = {3},
pages = {301--325},
abstract = {<p style="text-align: justify;">The numerical solution of large scale multi-dimensional convection diffusion
equations often requires efficient parallel algorithms. In this work, we consider the extension of a recently proposed non-overlapping domain decomposition method for two
dimensional time dependent convection diffusion equations with variable coefficients.
By combining predictor-corrector technique, modified upwind differences with explicit-implicit coupling, the method under consideration provides intrinsic parallelism while
maintaining good stability and accuracy. Moreover, for multi-dimensional problems,
the method can be readily implemented on a multi-processor system and does not have
the limitation on the choice of subdomains required by some other similar predictor-corrector or stabilized schemes. These properties of the method are demonstrated in
this work through both rigorous mathematical analysis and numerical experiments.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2009.m8016},
url = {http://global-sci.org/intro/article_detail/nmtma/6061.html}
}