@Article{CiCP-25-853,
author = {Dongxu Jia, Zhiqiang Sheng and Guangwei Yuan},
title = {An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {3},
pages = {853--870},
abstract = {<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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0222},
url = {http://global-sci.org/intro/article_detail/cicp/12831.html}
}