SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2430-2448, January 2021.
The modified Maxwell's Stekloff eigenvalue problem arises recently from the inverse electromagnetic scattering theory for inhomogeneous media. This paper contains a rigorous analysis of both the eigenvalue problem and the associated source problem on Lipschitz polyhedra. A new finite element method is proposed to compute Stekloff eigenvalues. By applying the Babuška--Osborn theory, we prove an error estimate without additional regularity assumptions. Numerical results are presented for validation.

中文翻译：

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修正麦克斯韦 Stekloff 特征值的有限元近似

SIAM Journal on Numerical Analysis，第 59 卷，第 5 期，第 2430-2448 页，2021
年1 月。 修正的麦克斯韦 Stekloff 特征值问题最近来自非均匀介质的逆电磁散射理论。本文包含对 Lipschitz 多面体的特征值问题和相关源问题的严格分析。提出了一种新的有限元方法来计算 Stekloff 特征值。通过应用 Babuška--Osborn 理论，我们证明了没有额外规律性假设的误差估计。数值结果用于验证。