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Benchmark results for testing adaptive finite element eigenvalue procedures

By Stefano Giani, Luka Grubišić and Jeffrey Ovall

Abstract

A discontinuous Galerkin method, with hp-adaptivity based on the approximate solution of appropriate dual problems, is employed for highly-accurate eigenvalue \ud computations on a collection of benchmark examples. After demonstrating the effectivity \ud of our computed error estimates on a few well-studied examples, we present results for several examples in which the coefficients of the partial-differential operators are discontinuous. \ud The problems considered here are put forward as benchmarks upon which other adaptive \ud methods for computing eigenvalues may be tested, with results compared to our own

Publisher: Elsevier
OAI identifier: oai:eprints.nottingham.ac.uk:1430
Provided by: Nottingham ePrints

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