An Efficient Splitting Domain Decomposition Approach for Parabolic-Type Time-Dependent Problems in Porous Media

Abstract

AbstractIn 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.KeywordsPorous MediumDomain DecompositionParabolic ProblemExplicit SchemeDomain Decomposition MethodThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.