@article{13b60593c28340eb9536d50760b334c7,

title = "Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements",

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. {\textcopyright} 2011 American Mathematical Society.",

author = "Andrea Bonito and Jean-Luc Guermond",

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.",

year = "2011",

doi = "10.1090/S0025-5718-2011-02464-6",

language = "English (US)",

volume = "80",

pages = "1887--1887",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "276",

}