An efficient splitting domain decomposition approach for parabolic-type time-dependent problems in porous media

Authors:
Dong Liang;Chuanbin Du
Affiliations:
Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada;Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada
Venue:
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Year:
2009

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Abstract

In this paper, we develop a new and efficient splitting domain decomposition method for solving parabolic-type time-dependent equations in porous media. The method combines the multi-block non-overlapping domain decomposition and the splitting technique. On interfaces of sub-domains, the local multilevel explicit scheme is proposed to solve the interface values of solution, and then the splitting implicit scheme is proposed to solve the solution in interiors of sub-domains. The developed method reduces computational complexities, large memory requirements and long computational durations. Numerical experiments are performed to illustrate the accuracy and efficiency of the method.