Volume 25, Issue 3
An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem

Dongxu Jia ,  Zhiqiang Sheng and Guangwei Yuan

10.4208/cicp.OA-2017-0222

Commun. Comput. Phys., 25 (2019), pp. 853-870.

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  • 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 extremumpreserving 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.

  • History

Published online: 2018-11

  • AMS Subject Headings

65N30

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