Parallel iterative methods for parabolic equations
Parallel iterative methods for parabolic equations
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DOI：
10.1080/00207160701598446
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发表时间：
2009-03
影响因子：
1.8
通讯作者：
Wenrui Hao;S. Zhu
中科院分区：
文献类型：
--
作者：
Wenrui Hao;S. Zhu
For the problems of the parabolic equations in one- and two-dimensional space, the parallel iterative methods are presented to solve the fully implicit difference schemes. The methods presented are based on the idea of domain decomposition in which we divide the linear system of equations into some non-overlapping sub-systems, which are easy to solve in different processors at the same time. The iterative value is proved to be convergent to the difference solution resulted from the implicit difference schemes. Numerical experiments for both one- and two-dimensional problems show that the methods are convergent and may reach the linear speed-up.
