Quadrature blending for isogeometric analysis
We use blended quadrature rules to reduce the phase error of isogeometric analysis discretizations. To explain the observed behavior and quantify the approximation errors, we use the generalized Pythagorean eigenvalue error theorem to account for quadrature errors on the resulting weak forms [28]. T...
| Main Authors: | , , |
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| Format: | Journal Article |
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Elsevier B V
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/59878 |
| _version_ | 1848760559574450176 |
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| author | Calo, Victor Deng, Q. Puzyrev, Vladimir |
| author_facet | Calo, Victor Deng, Q. Puzyrev, Vladimir |
| author_sort | Calo, Victor |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We use blended quadrature rules to reduce the phase error of isogeometric analysis discretizations. To explain the observed behavior and quantify the approximation errors, we use the generalized Pythagorean eigenvalue error theorem to account for quadrature errors on the resulting weak forms [28]. The proposed blended techniques improve the spectral accuracy of isogeometric analysis on uniform and non-uniform meshes for different polynomial orders and continuity of the basis functions. The convergence rate of the optimally blended schemes is increased by two orders with respect to the case when standard quadratures are applied. Our technique can be applied to arbitrary high-order isogeometric elements. |
| first_indexed | 2025-11-14T10:17:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-59878 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:17:42Z |
| publishDate | 2017 |
| publisher | Elsevier B V |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-598782018-04-24T01:01:09Z Quadrature blending for isogeometric analysis Calo, Victor Deng, Q. Puzyrev, Vladimir We use blended quadrature rules to reduce the phase error of isogeometric analysis discretizations. To explain the observed behavior and quantify the approximation errors, we use the generalized Pythagorean eigenvalue error theorem to account for quadrature errors on the resulting weak forms [28]. The proposed blended techniques improve the spectral accuracy of isogeometric analysis on uniform and non-uniform meshes for different polynomial orders and continuity of the basis functions. The convergence rate of the optimally blended schemes is increased by two orders with respect to the case when standard quadratures are applied. Our technique can be applied to arbitrary high-order isogeometric elements. 2017 Journal Article http://hdl.handle.net/20.500.11937/59878 10.1016/j.procs.2017.05.143 http://creativecommons.org/licenses/by-nc-nd/4.0/ Elsevier B V fulltext |
| spellingShingle | Calo, Victor Deng, Q. Puzyrev, Vladimir Quadrature blending for isogeometric analysis |
| title | Quadrature blending for isogeometric analysis |
| title_full | Quadrature blending for isogeometric analysis |
| title_fullStr | Quadrature blending for isogeometric analysis |
| title_full_unstemmed | Quadrature blending for isogeometric analysis |
| title_short | Quadrature blending for isogeometric analysis |
| title_sort | quadrature blending for isogeometric analysis |
| url | http://hdl.handle.net/20.500.11937/59878 |