Accuracy of Optimally Blended Methods for Wave Propagation
We investigate the optimal blending in the finite element method and isogeometric analysis for wave propagation problems. These techniques lead to more cost-effective schemes with much smaller phase errors and two additional orders of convergence. The proposed blending methods are equivalent to the...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/69170 |
| _version_ | 1848761986708406272 |
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| author | Puzyrev, Vladimir Calo, Victor |
| author_facet | Puzyrev, Vladimir Calo, Victor |
| author_sort | Puzyrev, Vladimir |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We investigate the optimal blending in the finite element method and isogeometric analysis for wave propagation problems. These techniques lead to more cost-effective schemes with much smaller phase errors and two additional orders of convergence. The proposed blending methods are equivalent to the use of nonstandard quadrature rules and hence they can be efficiently implemented by replacing the standard Gaussian quadrature by a nonstandard rule. Numerical examples demonstrate the superior accuracy of the optimally-blended schemes compared with the classical methods. |
| first_indexed | 2025-11-14T10:40:23Z |
| format | Conference Paper |
| id | curtin-20.500.11937-69170 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:40:23Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-691702018-07-04T07:03:20Z Accuracy of Optimally Blended Methods for Wave Propagation Puzyrev, Vladimir Calo, Victor We investigate the optimal blending in the finite element method and isogeometric analysis for wave propagation problems. These techniques lead to more cost-effective schemes with much smaller phase errors and two additional orders of convergence. The proposed blending methods are equivalent to the use of nonstandard quadrature rules and hence they can be efficiently implemented by replacing the standard Gaussian quadrature by a nonstandard rule. Numerical examples demonstrate the superior accuracy of the optimally-blended schemes compared with the classical methods. 2017 Conference Paper http://hdl.handle.net/20.500.11937/69170 10.3997/2214-4609.201700518 restricted |
| spellingShingle | Puzyrev, Vladimir Calo, Victor Accuracy of Optimally Blended Methods for Wave Propagation |
| title | Accuracy of Optimally Blended Methods for Wave Propagation |
| title_full | Accuracy of Optimally Blended Methods for Wave Propagation |
| title_fullStr | Accuracy of Optimally Blended Methods for Wave Propagation |
| title_full_unstemmed | Accuracy of Optimally Blended Methods for Wave Propagation |
| title_short | Accuracy of Optimally Blended Methods for Wave Propagation |
| title_sort | accuracy of optimally blended methods for wave propagation |
| url | http://hdl.handle.net/20.500.11937/69170 |