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Benchmark results for testing adaptive finite element eigenvalue procedures

Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey

Authors

Stefano Giani stefano.giani@nottingham.ac.uk

Luka Grubišić uka.grubisic@math.hr

Jeffrey Ovall jovall@ms.uky.edu



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.

Journal Article Type Article
Journal Applied Numerical Mathematics
Print ISSN 0168-9274
Electronic ISSN 0168-9274
Publisher Elsevier
Peer Reviewed Not Peer Reviewed
APA6 Citation Giani, S., Grubišić, L., & Ovall, J. Benchmark results for testing adaptive finite element eigenvalue procedures. Manuscript submitted for publication
Publisher URL http://www.elsevier.com/wps/find/journaldescription.cws_home/505602/description#description
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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