TY - JOUR
T1 - An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem
AU - Dongxu Jia, Zhiqiang Sheng & Guangwei Yuan
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 - <p style="text-align: justify;">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.</p>