Istituto di Matematica Applicata e Tecnologie Informatiche     
Boffi D., Demkowicz L., Costabel M. Discrete compactness for p and hp 2D edge finite elements. Preprint ercim.cnr.ian//2002-1284, 2002.
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 compacness property. The proof is based on a conjectured $L^2$ stability estimate for the involved polynomial spaces which has been verified numerically for $ple15$ and illustrated with the corresponding one dimensional model problem.
Subject Maxwell's equations, hp finite elements, discrete compactness
65N30, 35L15, 65N25

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