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arXiv · 2503.10165

A finite element method for Maxwell's transmission eigenvalue problem in anisotropic media

Jiayu Han
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Abstract

In this paper, we introduce a finite element method employing the Ned\'el\'ec 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.

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Jiayu Han. 2025-03-13. A finite element method for Maxwell's transmission eigenvalue problem in anisotropic media. https://arxiv.org/abs/2503.10165

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