A Finite Element Method for Maxwell’s Transmission Eigenvalue Problem in Anisotropic Media

Abstract. In this paper, we introduce a finite element method employing the Nedéléc element space for solving Maxwell’s transmission eigenvalue problem in anisotropic media. The well-posedness of the source problems is derived using the [Formula: see text]-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. Reproducibility of computational results. This paper has been awarded the “SIAM Reproducibility Badge: Code and data available” as recognition that the authors have followed reproducibility principles valued by SISC and the scientific computing community. Code and data that allow readers to reproduce the results in this paper are available at https://github.com/hanjiayu126/MTEP_bd and in the supplementary material ( MTEP_bd-main.zip [15.2KB]). [Formula: see text]