A finite element method for Maxwell's transmission eigenvalue problem in anisotropic media
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910873659899904 |
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| author | Han, Jiayu |
| author_facet | Han, Jiayu |
| contents | In this paper, we introduce a finite element method employing the Nedéléc element space for solving the Maxwell's transmission eigenvalue problem in anisotropic media. The well-posedness of the source problems are derived using $\mathbb T$-coercivity approach. We discuss the discrete compactness property of the finite element space under the case of anisotropic coefficients and conduct a finite element error analysis for the proposed approach. Additionally, we present some numerical examples to support the theoretical result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A finite element method for Maxwell's transmission eigenvalue problem in anisotropic media Han, Jiayu Numerical Analysis In this paper, we introduce a finite element method employing the Nedéléc element space for solving the Maxwell's transmission eigenvalue problem in anisotropic media. The well-posedness of the source problems are derived using $\mathbb T$-coercivity approach. We discuss the discrete compactness property of the finite element space under the case of anisotropic coefficients and conduct a finite element error analysis for the proposed approach. Additionally, we present some numerical examples to support the theoretical result. |
| title | A finite element method for Maxwell's transmission eigenvalue problem in anisotropic media |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.10165 |