Year: 2022
Author: Fujun Cao, Dongfang Yuan, Zhiqiang Sheng, Guangwei Yuan, Limin He
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2022-IJNAM-20654
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 439–457
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Implicit jump conditions elliptic interface problem imperfect contact.