Discrete compactness for p and hp 2d edge finite elements

Daniele Boffi, Leszek Demkowicz, Martin Costabel

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In this paper we discuss the hp edge finite element approximation of the Maxwell cavity eigenproblem. We address the main arguments for the proof of the discrete compactness property. The proof is based on a conjectured L 2 stability estimate for the involved polynomial spaces which has been verified numerically for p ≤ 15 and illustrated with the corresponding one dimensional model problem.
Original languageEnglish (US)
Pages (from-to)1673-1687
Number of pages15
JournalMathematical Models and Methods in Applied Sciences
Issue number11
StatePublished - Jan 1 2003
Externally publishedYes

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