Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D
Numerical Analysis
2022-04-26 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2204.10876,
title = {Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D},
author = {Daniele Boffi and Sining Gong and Johnny Guzmán and Michael Neilan},
journal= {arXiv preprint arXiv:2204.10876},
year = {2022}
}