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

Dongxu Jia, Zhiqiang Sheng & Guangwei Yuan

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

Published online: 2018-11

Preview Full PDF 138 1441
Export citation
  • 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.

  • Keywords

Imperfect interface domain decomposition iterative methods extremum-preserving

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

  • BibTex
  • RIS
  • TXT
@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 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.

}, 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://dor.org/10.4208/cicp.OA-2017-0222 UR - https://global-sci.org/intro/cicp/12831.html KW - Imperfect interface KW - domain decomposition KW - iterative methods KW - 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 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.

Dongxu Jia, Zhiqiang Sheng & Guangwei Yuan. (1970). 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
Copy to clipboard
The citation has been copied to your clipboard