Benchmark results for testing adaptive finite element eigenvalue procedures

Giani, Stefano and Grubišić, Luka and Ovall, Jeffrey (2011) Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics . ISSN 0168-9274 (Submitted)

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Abstract

A discontinuous Galerkin method, with hp-adaptivity based on the approximate solution of appropriate dual problems, is employed for highly-accurate eigenvalue

computations on a collection of benchmark examples. After demonstrating the effectivity

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.

The problems considered here are put forward as benchmarks upon which other adaptive

methods for computing eigenvalues may be tested, with results compared to our own.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Giani, Dr Stefano
Date Deposited: 14 Feb 2011 16:55
Last Modified: 15 May 2012 14:55
URI: http://eprints.nottingham.ac.uk/id/eprint/1430

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