TY - JOUR T1 - An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem JO - Communications in Computational Physics VL - 3 SP - 853 EP - 870 PY - 2018 DA - 2018/11 SN - 25 DO - http://doi.org/10.4208/cicp.OA-2017-0222 UR - https://global-sci.org/intro/article_detail/cicp/12831.html KW - Imperfect interface, domain decomposition, iterative methods, extremum-preserving. AB -

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.