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

摘要：

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 nonoverlapping 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.

作者: Dong Liang Chuanbin Du

作者单位: Department of Mathematics and Statistics York University Toronto,Ontario, Canada M3J 1P3 Department of Mathematics and Statistics York University Toronto, Ontario, Canada M3J 1P3

会议类型: 国际会议

会议名称: The Second International Conference on High Performance Computing and Applications(第二届高性能计算及应用国际会议)

会议地点: 上海

会议语种:英文

页码: 69-77

在线出版日期: 2009-08-10（万方平台首次上网日期，不代表论文的发表时间）