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Error control for hp-adaptive approximations of semi-definite eigenvalue problems

Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey

Authors

Stefano Giani stefano.giani@nottingham.ac.uk

Luka Grubišić luka@math.hr

Jeffrey Ovall jovall@ms.uky.edu



Abstract

We present reliable a-posteriori error estimates for hp-adaptive finite element approximations of semi-definite eigenvalue/eigenvector problems. Our model problems are motivated by the applications in photonic crystal eigenvalue computations. We present detailed numerical experiments confirming our theory and give several benchmark results which could serve the purpose of numerical testing of other adaptive procedures.

Journal Article Type Article
Journal Linear Algebra and its Applications
Print ISSN 0024-3795
Electronic ISSN 0024-3795
Publisher Elsevier
Peer Reviewed Not Peer Reviewed
APA6 Citation Giani, S., Grubišić, L., & Ovall, J. Error control for hp-adaptive approximations of semi-definite eigenvalue problems. Manuscript submitted for publication
Publisher URL http://www.journals.elsevier.com/linear-algebra-and-its-applications/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Preprint of an article submitted to Linear Algebra and its Applications

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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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