An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem
An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem
复制标题
不完美接口问题的保极值迭代过程
DOI：
10.4208/cicp.oa-2017-0222
复制
发表时间：
2019
影响因子：
3.7
通讯作者：
Yuan Guangwei
中科院分区：
文献类型：
--
作者：
Jia Dongxu;Sheng Zhiqiang;Yuan Guangwei
In this paper we propose an extremum-preserving iterative procedure for the imperfect interface problem. This method is based on domain decomposition method. First we divide the domain into two sub-domains by the interface, then we alternately solve the sub-domain problems with Robin boundary condition. We prove that the iterative method is convergent and the iterative procedure is extremumpreserving at PDE level. At last, some numerical tests are carried out to demonstrate the convergence of the iterative method by using a special discrete method introduced on sub-domains. AMS subject classifications: 65N30
