Year: 2024
Author: Fujun Cao, Dongfang Yuan, Dongxu Jia, Guangwei Yuan
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 5 : pp. 1328–1355
Abstract
In this paper two dimensional elliptic interface problem with imperfect contact is considered, which is featured by the implicit jump condition imposed on the imperfect contact interface, and the jumping quantity of the unknown is related to the flux across the interface. A finite difference method is constructed for the 2D elliptic interface problems with straight and curve interface shapes. Then, the stability and convergence analysis are given for the constructed scheme. Further, in particular case, it is proved to be monotone. Numerical examples for elliptic interface problems with straight and curve interface shapes are tested to verify the performance of the scheme. The numerical results demonstrate that it obtains approximately second-order accuracy for elliptic interface equations with implicit jump condition.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2302-m2022-0111
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 5 : pp. 1328–1355
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Finite difference method Elliptic interface problem Imperfect contact.