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

35 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

Fingerprint Dive into the research topics of 'Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements'. Together they form a unique fingerprint.

Cite this