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

Andrea Bonito, Jean-Luc Guermond

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)1887-1887
Number of pages1
JournalMathematics of Computation
Volume80
Issue number276
DOIs
StatePublished - 2011
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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