Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Discontinuous Galerkin approximation of eigenvalue problems

A. Buffaa, I. Perugiab,*
aIstituto di Matematica Applicata e Tecnologie Informatiche - CNR Via Ferrata 1, 27100 Pavia, Italy
bDipartimento di Matematica, Università di Pavia Via Ferrata 1, 27100 Pavia, Italy
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ABSTRACT
In this paper we analyse the problem of computing eigenvalues and eigenfunotions of the Laplace operator and of the grad-div operator by discontinuous Galerkin (DG) methods. Conditions under which DG methods provide spectrally correct approximations are given in both cases.

Keywords:  Discontinuous Galerkin methods; Eigenvalue problems
* Corresponding author. Tel.: +39 0382 505649; Fax: +39 0382 505602; E-mail: perugia@dimat.unipv.it