New design and analysis of finite difference domain decomposition algorithm for the two-dimensional heat equation

作者：Wan, Zhengsu^*; Zhang, Baolin; Cheng, Guangnan

来源：Journal of Systems Science and Complexity, 2010, 23(2): 403-412.

DOI：10.1007/s11424-010-7054-8

• Domain decomposition
• finite difference
• Saul'yev schemes
• two-dimensional heat equation

It is presented in this paper that the new design and its analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation, and the numerical results have shown the stability and accuracy of the algorithms, where Saul'yev asymmetric schemes have been used at the interface points. The Algorithm II in this paper has further extended those developed by Dawson and the others, Zhang and Shen.

• 出版日期2010-4
• 单位北京应用物理与计算数学研究所; 湖南理工学院