Year: 2024
Author: Zhiming Chen, Ke Li, Maohui Lyu, Xueshaung Xiang
International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 6 : pp. 822–849
Abstract
We propose a high order unfitted finite element method for solving time-harmonic Maxwell interface problems. The unfitted finite element method is based on a mixed formulation in the discontinuous Galerkin framework on a Cartesian mesh with possible hanging nodes. The $H^2$ regularity of the solution to Maxwell interface problems with $C^2$ interfaces in each subdomain is proved. Practical interface-resolving mesh conditions are introduced under which the $hp$ inverse estimates on three-dimensional curved domains are proved. Stability and $hp$ a priori error estimate of the unfitted finite element method are proved. Numerical results are included to illustrate the performance of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2024-1033
International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 6 : pp. 822–849
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Maxwell interface problem high order unfitted finite element method $hp$ a priori error estimate.
Author Details
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