Benchmark results for testing adaptive finite element eigenvalue procedures
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-stu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Elsevier
2011
|
| Online Access: | https://eprints.nottingham.ac.uk/1430/ |
| _version_ | 1848790604243271680 |
|---|---|
| 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 | 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. |
| first_indexed | 2025-11-14T18:15:15Z |
| format | Article |
| id | nottingham-1430 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:15:15Z |
| publishDate | 2011 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-14302020-05-04T20:23:53Z https://eprints.nottingham.ac.uk/1430/ Benchmark results for testing adaptive finite element eigenvalue procedures Giani, Stefano Grubišić, Luka Ovall, Jeffrey 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. Elsevier 2011 Article NonPeerReviewed Giani, Stefano, Grubišić, Luka and Ovall, Jeffrey (2011) Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics . ISSN 0168-9274 (Submitted) http://www.elsevier.com/wps/find/journaldescription.cws_home/505602/description#description |
| spellingShingle | Giani, Stefano Grubišić, Luka Ovall, Jeffrey Benchmark results for testing adaptive finite element eigenvalue procedures |
| title | Benchmark results for testing adaptive finite element eigenvalue procedures |
| title_full | Benchmark results for testing adaptive finite element eigenvalue procedures |
| title_fullStr | Benchmark results for testing adaptive finite element eigenvalue procedures |
| title_full_unstemmed | Benchmark results for testing adaptive finite element eigenvalue procedures |
| title_short | Benchmark results for testing adaptive finite element eigenvalue procedures |
| title_sort | benchmark results for testing adaptive finite element eigenvalue procedures |
| url | https://eprints.nottingham.ac.uk/1430/ https://eprints.nottingham.ac.uk/1430/ |