TY - JOUR
T1 - An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations
AU - Liyong Zhu, Guangwei Yuan & Qiang Du
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 301
EP - 325
PY - 2009
DA - 2009/02
SN - 2
DO - http://doi.org/10.4208/nmtma.2009.m8016
UR - https://global-sci.org/intro/article_detail/nmtma/6061.html
KW - Convection diffusion equation, parallel algorithm, domain decomposition, modified
upwind differences, predictor-corrector, explicit-implicit scheme, convergence analysis.
AB - <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>