Year: 2024
Author: Haimei Wang, Xianyan Zheng, Jinru Chen, Feng Wang
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 2 : pp. 397–417
Abstract
In this paper, we propose a nonconforming virtual element method for the elliptic interface problem based on an unfitted polygonal mesh. On interface elements, the intersecting points of the interface and the edges of elements are considered as additional nodes of the mesh, and then we present a virtual element space satisfying the interface conditions. On non-interface elements, we use the usual nonconforming virtual element. By employing a computable operator, we introduce a discrete scheme and obtain optimal convergence results which are independent of the contrast of the coefficients. Numerical examples are presented to validate the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-046.010923
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 2 : pp. 397–417
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Nonconforming virtual element elliptic interface problem unfitted mesh.