Year: 2020
Author: Nan Wang, Jinru Chen
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 4 : pp. 879–901
Abstract
This article proposes a new $P_{1}$ nonconforming Nitsche's extended finite element method for elliptic interface problems with interface-unfitted meshes. It is shown that the stability of the discrete formulation is independent of not only the mesh size and the diffusion parameters, but also the position of the interface, showing a robustness over the location of interface. In spite of the low regularity of interface problems, the optimal convergence is obtained. Numerical experiments are carried out to validate theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0252
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 4 : pp. 879–901
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Nonconforming extended finite element Nitsche's method elliptic interface problems interface-unfitted mesh.