Adaptive finite element method for the Maxwell eigenvalue problem
arXiv:1804.0237711 citationsh-index: 35
Originality Synthesis-oriented
AI Analysis
Provides theoretical guarantees for adaptive methods in computational electromagnetics, a domain-specific contribution.
Proved optimal convergence of an adaptive edge finite element scheme for Maxwell eigenvalue problems, using equivalence to a mixed eigenvalue problem.
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.