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

Dongxu Jia, Zhiqiang Sheng & Guangwei Yuan

DOI: 10.4208/cicp.OA-2017-0222

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

Published online: 2018-11

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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 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.

  • Keywords

Imperfect interface, domain decomposition, iterative methods, extremum-preserving.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@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 = {

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} }
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 -

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.

Dongxu Jia, Zhiqiang Sheng and Guangwei Yuan. (2018). An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem. Communications in Computational Physics. 25 (3). 853-870. doi:10.4208/cicp.OA-2017-0222
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