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 language||English (US)|
|Number of pages||15|
|Journal||Mathematical Models and Methods in Applied Sciences|
|State||Published - Jan 1 2003|