An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem

被引：9
|
作者：
Jia, Dongxu [1 ,2 ]
Sheng, Zhiqiang [3 ]
Yuan, Guangwei [3 ]
机构：
[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China
[2] China Acad Engn Phys, Grad Sch, POB 2101, Beijing 100088, Peoples R China
[3] Inst Appl Phys & Computat Math, Lab Computat Phys, POB 8009, Beijing 100088, Peoples R China
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2019年 / 25卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Imperfect interface; domain decomposition; iterative methods; extremum-preserving; EFFECTIVE CONDUCTIVITY; DIFFUSION-EQUATIONS; WEAK FORMULATION; COMPOSITES; CONTACT;
D O I：
10.4208/cicp.OA-2017-0222
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 extremum-preserving 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.
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页码：853 / 870
页数：18
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