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

Handle URI:
http://hdl.handle.net/10754/597604
Title:
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
Authors:
Bonito, Andrea; Guermond, Jean-Luc
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.
Publisher:
American Mathematical Society (AMS)
Journal:
Mathematics of Computation
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
2011
DOI:
10.1090/S0025-5718-2011-02464-6
Type:
Article
ISSN:
0025-5718; 1088-6842
Sponsors:
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.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBonito, Andreaen
dc.contributor.authorGuermond, Jean-Lucen
dc.date.accessioned2016-02-25T12:42:54Zen
dc.date.available2016-02-25T12:42:54Zen
dc.date.issued2011en
dc.identifier.citationBonito 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.en
dc.identifier.issn0025-5718en
dc.identifier.issn1088-6842en
dc.identifier.doi10.1090/S0025-5718-2011-02464-6en
dc.identifier.urihttp://hdl.handle.net/10754/597604en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe 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.en
dc.publisherAmerican Mathematical Society (AMS)en
dc.titleApproximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elementsen
dc.typeArticleen
dc.identifier.journalMathematics of Computationen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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