A new positivity preserving domain decomposition method for the 2D diffusion equation
A new positivity preserving domain decomposition method for the 2D diffusion equation
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DOI：
10.1002/zamm.202100054
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
DongxuJia
中科院分区：
文献类型：
--
作者：
DongxuJia
In this paper, we propose a new domain decomposition method for the 2-D diffusion equation. The scheme is positivity-preserving with essential parallelism. First, we decompose the domain into many sub-domains, and then some new schemes are used on the sub-domains according to dimension. Moreover, only local communication is needed at each time level in the parallel programs. The method of discrete functional analysis is used to prove that the scheme is unconditionally stable with second-order accuracy. At last, some numerical tests are given to verify the theoretical results.
