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Volume 19, Issue 4
A Finite Difference Method for Elliptic Problems with Implicit Jump Condition

Fujun Cao, Dongfang Yuan, Zhiqiang Sheng, Guangwei Yuan & Limin He

Int. J. Numer. Anal. Mod., 19 (2022), pp. 439-457.

Published online: 2022-06

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  • Abstract

In this paper linear elliptic problems with imperfect contact interface are considered, and a second order finite difference method is presented for linear problems, in which implicit jump condition are imposed on the interface. Then, the stability and convergence analysis of the FD scheme are given for the one-dimensional elliptic interface problem. Numerical examples are carried out for the elliptic problems with imperfect contact interfaces, and the results demonstrate that the scheme has second order accuracy for elliptic interface problems of implicit jump conditions with single and multiple imperfect interfaces.

  • Keywords

Implicit jump conditions, elliptic interface problem, imperfect contact.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-19-439, author = {Fujun and Cao and and 23768 and and Fujun Cao and Dongfang and Yuan and and 23769 and and Dongfang Yuan and Zhiqiang and Sheng and and 23770 and and Zhiqiang Sheng and Guangwei and Yuan and and 23771 and and Guangwei Yuan and Limin and He and and 23772 and and Limin He}, title = {A Finite Difference Method for Elliptic Problems with Implicit Jump Condition}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2022}, volume = {19}, number = {4}, pages = {439--457}, abstract = {

In this paper linear elliptic problems with imperfect contact interface are considered, and a second order finite difference method is presented for linear problems, in which implicit jump condition are imposed on the interface. Then, the stability and convergence analysis of the FD scheme are given for the one-dimensional elliptic interface problem. Numerical examples are carried out for the elliptic problems with imperfect contact interfaces, and the results demonstrate that the scheme has second order accuracy for elliptic interface problems of implicit jump conditions with single and multiple imperfect interfaces.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/20654.html} }
TY - JOUR T1 - A Finite Difference Method for Elliptic Problems with Implicit Jump Condition AU - Cao , Fujun AU - Yuan , Dongfang AU - Sheng , Zhiqiang AU - Yuan , Guangwei AU - He , Limin JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 439 EP - 457 PY - 2022 DA - 2022/06 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/20654.html KW - Implicit jump conditions, elliptic interface problem, imperfect contact. AB -

In this paper linear elliptic problems with imperfect contact interface are considered, and a second order finite difference method is presented for linear problems, in which implicit jump condition are imposed on the interface. Then, the stability and convergence analysis of the FD scheme are given for the one-dimensional elliptic interface problem. Numerical examples are carried out for the elliptic problems with imperfect contact interfaces, and the results demonstrate that the scheme has second order accuracy for elliptic interface problems of implicit jump conditions with single and multiple imperfect interfaces.

Fujun Cao, Dongfang Yuan, Zhiqiang Sheng, Guangwei Yuan & Limin He. (2022). A Finite Difference Method for Elliptic Problems with Implicit Jump Condition. International Journal of Numerical Analysis and Modeling. 19 (4). 439-457. doi:
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