Year: 2019
Communications in Computational Physics, Vol. 25 (2019), Iss. 3 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2017-0222
Communications in Computational Physics, Vol. 25 (2019), Iss. 3 : pp. 853–870
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Imperfect interface domain decomposition iterative methods extremum-preserving.
-
Well-posedness of nonlinear two-phase flow model with solute transport
Shi, Xueting | Yuan, GuangweiJournal of Mathematical Analysis and Applications, Vol. 525 (2023), Iss. 1 P.127119
https://doi.org/10.1016/j.jmaa.2023.127119 [Citations: 1] -
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface
Zhou, Huifang | Sheng, Zhiqiang | Yuan, GuangweiApplied Numerical Mathematics, Vol. 158 (2020), Iss. P.314
https://doi.org/10.1016/j.apnum.2020.08.008 [Citations: 6] -
Regular Analysis of a Class of Parabolic Interface Problems
史, 雪婷
Advances in Applied Mathematics, Vol. 12 (2023), Iss. 02 P.645
https://doi.org/10.12677/AAM.2023.122068 [Citations: 0]