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.

Adaptive finite element method for the Maxwell Eigenvalue problem

D Boffi;L Gastaldi
2019

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.
2019
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Edge finite elements
Eigenvalue problem
Maxwell's equations
Adaptive finite element method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/405634
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