Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes

Daniele Boffi, Fumio Kikuchi, Joachim Schöberl

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Recent results prove that Nédélec edge elements do not achieve optimal rate of approximation on general quadrilateral meshes. In particular, lowest order edge elements provide stable but non-convergent approximation of Maxwell's eigenvalues. In this paper we analyze a modification of standard edge element that restores the optimality of the convergence. This modification is based on a projection technique that can be interpreted as a reduced integration procedure. © World Scientific Publishing Company.
Original languageEnglish (US)
Pages (from-to)265-273
Number of pages9
JournalMathematical Models and Methods in Applied Sciences
Volume16
Issue number2
DOIs
StatePublished - Feb 1 2006
Externally publishedYes

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