@Article{CiCP-25-853, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0222}, url = {http://global-sci.org/intro/article_detail/cicp/12831.html} }