Error control for hp-adaptive approximations of semi-definite eigenvalue problems
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...
| Main Authors: | , , |
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| Format: | Article |
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Elsevier
2012
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| Online Access: | https://eprints.nottingham.ac.uk/1616/ |
| _version_ | 1848790639451308032 |
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| author | Giani, Stefano Grubišić, Luka Ovall, Jeffrey |
| author_facet | Giani, Stefano Grubišić, Luka Ovall, Jeffrey |
| author_sort | Giani, Stefano |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:15:49Z |
| format | Article |
| id | nottingham-1616 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:15:49Z |
| publishDate | 2012 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-16162020-05-04T20:22:30Z https://eprints.nottingham.ac.uk/1616/ Error control for hp-adaptive approximations of semi-definite eigenvalue problems Giani, Stefano Grubišić, Luka Ovall, Jeffrey 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. Elsevier 2012 Article NonPeerReviewed Giani, Stefano, Grubišić, Luka and Ovall, Jeffrey (2012) Error control for hp-adaptive approximations of semi-definite eigenvalue problems. Linear Algebra and its Applications . ISSN 0024-3795 (Submitted) http://www.journals.elsevier.com/linear-algebra-and-its-applications/ |
| spellingShingle | Giani, Stefano Grubišić, Luka Ovall, Jeffrey Error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| title | Error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| title_full | Error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| title_fullStr | Error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| title_full_unstemmed | Error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| title_short | Error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| title_sort | error control for hp-adaptive approximations of semi-definite eigenvalue problems |
| url | https://eprints.nottingham.ac.uk/1616/ https://eprints.nottingham.ac.uk/1616/ |