Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
KAUST Grant NumberKUS-C1-016-04
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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.
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.
SponsorsThe 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.
PublisherAmerican Mathematical Society (AMS)
JournalMathematics of Computation