Document Type

Pre-Print

Publication Date

2012

Subjects

Partial differential equations -- Numerical solutions, Eigenvalues -- Estimation, Eigenvectors

Abstract

As a model benchmark problem for this study we consider a highly singular transmission type eigenvalue problem which we study in detail both analytically as well as numerically. In order to justify our claim of cluster robust and highly accurate approximation of a selected groups of eigenvalues and associated eigenfunctions, we give a new analysis of a class of direct residual eigenspace/vector approximation estimates. Unlike in the first part of the paper, we now use conforming higher order finite elements, since the canonical choice of an appropriate norm to measure eigenvector approximation by discontinuous Galerkin methods is an open problem.

Description

This is the pre-print of an article which was subsequently published in Applied Numerical Mathematics, Copyright (2012) Elsevier

Persistent Identifier

http://archives.pdx.edu/ds/psu/16187

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