Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
In this paper we present PetIGA, a high-performance implementation of Isogeometric Analysis built on top of PETSc. We show its use in solving nonlinear and time-dependent problems, such as phasefield models, by taking advantage of the high-continuity of the basis functions granted by the isogeometri...
| Main Authors: | , , , , , , |
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| Format: | Conference Paper |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/51582 |
| _version_ | 1848758733533872128 |
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| author | Côrtes, A. Vignal, P. Sarmiento, A. García, D. Collier, N. Dalcin, L. Calo, Victor |
| author_facet | Côrtes, A. Vignal, P. Sarmiento, A. García, D. Collier, N. Dalcin, L. Calo, Victor |
| author_sort | Côrtes, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we present PetIGA, a high-performance implementation of Isogeometric Analysis built on top of PETSc. We show its use in solving nonlinear and time-dependent problems, such as phasefield models, by taking advantage of the high-continuity of the basis functions granted by the isogeometric framework. In this work, we focus on the Cahn-Hilliard equation and the phase-field crystal equation. |
| first_indexed | 2025-11-14T09:48:41Z |
| format | Conference Paper |
| id | curtin-20.500.11937-51582 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:48:41Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-515822017-09-13T15:45:38Z Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework Côrtes, A. Vignal, P. Sarmiento, A. García, D. Collier, N. Dalcin, L. Calo, Victor In this paper we present PetIGA, a high-performance implementation of Isogeometric Analysis built on top of PETSc. We show its use in solving nonlinear and time-dependent problems, such as phasefield models, by taking advantage of the high-continuity of the basis functions granted by the isogeometric framework. In this work, we focus on the Cahn-Hilliard equation and the phase-field crystal equation. 2014 Conference Paper http://hdl.handle.net/20.500.11937/51582 10.1007/978-3-662-45483-1_17 restricted |
| spellingShingle | Côrtes, A. Vignal, P. Sarmiento, A. García, D. Collier, N. Dalcin, L. Calo, Victor Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework |
| title | Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework |
| title_full | Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework |
| title_fullStr | Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework |
| title_full_unstemmed | Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework |
| title_short | Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework |
| title_sort | solving nonlinear, high-order partial differential equations using a high-performance isogeometric analysis framework |
| url | http://hdl.handle.net/20.500.11937/51582 |