Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D

04/22/2022

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by   Daniele Boffi, et al.

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We prove convergence of the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two Fortin-like operators to prove uniform convergence of the corresponding source problem. We present numerical experiments to illustrate the theoretical results.