Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements

Type
Article

Authors
Bonito, Andrea
Guermond, Jean-Luc

KAUST Grant Number
KUS-C1-016-04

Date
2011

Abstract
We propose and analyze an approximation technique for the Maxwell eigenvalue problem using H1-conforming finite elements. The key idea consists of considering a mixed method controlling the divergence of the electric field in a fractional Sobolev space H-α with α ∈ (1/2, 1). The method is shown to be convergent and spectrally correct. © 2011 American Mathematical Society.

Citation
Bonito A, Guermond J-L (2011) Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Math Comp 80: 1887–1887. Available: http://dx.doi.org/10.1090/S0025-5718-2011-02464-6.

Acknowledgements
The first author was partially supported by the NSF grant DMS-0914977.The second author was partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The third author was partially supported by the NSF grant DMS-07138229.

Publisher
American Mathematical Society (AMS)

Journal
Mathematics of Computation

DOI
10.1090/S0025-5718-2011-02464-6

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