On the discrete compactness of hp edge finite elements

Abstract

AbstractWe investigate the relationship between Discrete Compactness Property and the conditions introduced in [1] for the convergence of eigenvalue problems in mixed form; we shall show that both aspects can be put in the same unified framework. As a corollary of our theory, we can show that the hp version of rectangular Raviart–Thomas elements can be successfully applied to the approximation of Laplace eigenmodes in mixed form. This follows from the analogous result for edge elements presented in [2]. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)