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 p\le15 and illustrated with the corresponding one dimensional model problem.
Discrete compactness for p and hp 2D edge finite elements
2003
Abstract
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 p\le15 and illustrated with the corresponding one dimensional model problem.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
