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Adaptive finite element method for the Maxwell eigenvalue problem

Numerical Analysis 2018-04-09 v1

Abstract

In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem.

Keywords

Cite

@article{arxiv.1804.02377,
  title  = {Adaptive finite element method for the Maxwell eigenvalue problem},
  author = {Daniele Boffi and Lucia Gastaldi},
  journal= {arXiv preprint arXiv:1804.02377},
  year   = {2018}
}