Modeling phase-transitions using a high-performance, isogeometric analysis framework
In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test case...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/51616 |
| _version_ | 1848758741930868736 |
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| author | Vignal, P. Dalcin, L. Collier, N. Calo, Victor |
| author_facet | Vignal, P. Dalcin, L. Collier, N. Calo, Victor |
| author_sort | Vignal, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test cases. These two models allow us to highlight some of the main advantages that we have access to while using PetIGA for scientific computing. © The Authors. Published by Elsevier B.V. |
| first_indexed | 2025-11-14T09:48:49Z |
| format | Conference Paper |
| id | curtin-20.500.11937-51616 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:48:49Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-516162017-09-13T15:41:42Z Modeling phase-transitions using a high-performance, isogeometric analysis framework Vignal, P. Dalcin, L. Collier, N. Calo, Victor In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test cases. These two models allow us to highlight some of the main advantages that we have access to while using PetIGA for scientific computing. © The Authors. Published by Elsevier B.V. 2014 Conference Paper http://hdl.handle.net/20.500.11937/51616 10.1016/j.procs.2014.05.088 http://creativecommons.org/licenses/by-nc-nd/3.0/ fulltext |
| spellingShingle | Vignal, P. Dalcin, L. Collier, N. Calo, Victor Modeling phase-transitions using a high-performance, isogeometric analysis framework |
| title | Modeling phase-transitions using a high-performance, isogeometric analysis framework |
| title_full | Modeling phase-transitions using a high-performance, isogeometric analysis framework |
| title_fullStr | Modeling phase-transitions using a high-performance, isogeometric analysis framework |
| title_full_unstemmed | Modeling phase-transitions using a high-performance, isogeometric analysis framework |
| title_short | Modeling phase-transitions using a high-performance, isogeometric analysis framework |
| title_sort | modeling phase-transitions using a high-performance, isogeometric analysis framework |
| url | http://hdl.handle.net/20.500.11937/51616 |