In this paper we analyse the problem of computing eigenvalues and eigenfunctions of the Laplace operator by means of discontinuous Galerkin (DG) methods. It results that several DG methods actually provide a spectrally correct approximation of the Laplace operator. We present here the convergence theory, which applies to a wide class of DG methods, as well as numerical tests demonstrating the theoretical results.

Discontinuous Galerkin approximation of the Laplace eigenproblem

ANTONIETTI, PAOLA FRANCESCA;
2006

Abstract

In this paper we analyse the problem of computing eigenvalues and eigenfunctions of the Laplace operator by means of discontinuous Galerkin (DG) methods. It results that several DG methods actually provide a spectrally correct approximation of the Laplace operator. We present here the convergence theory, which applies to a wide class of DG methods, as well as numerical tests demonstrating the theoretical results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/528607
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