PetIGA: A framework for high-performance isogeometric analysis
We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framewo...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/51403 |
| _version_ | 1848758689655160832 |
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| author | Dalcin, L. Collier, N. Vignal, P. Côrtes, A. Calo, Victor |
| author_facet | Dalcin, L. Collier, N. Vignal, P. Côrtes, A. Calo, Victor |
| author_sort | Dalcin, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framework on PETSc, a high-performance library for the scalable solution of partial differential equations, which simplifies the development of large-scale scientific codes, provides a rich environment for prototyping, and separates parallelism from algorithm choice. We describe the implementation of PetIGA, and exemplify its use by solving a model nonlinear problem. To illustrate the robustness and flexibility of PetIGA, we solve some challenging nonlinear partial differential equations that include problems in both solid and fluid mechanics. We show strong scaling results on up to 4096 cores, which confirm the suitability of PetIGA for large scale simulations. |
| first_indexed | 2025-11-14T09:47:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-51403 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:47:59Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-514032018-05-25T05:20:52Z PetIGA: A framework for high-performance isogeometric analysis Dalcin, L. Collier, N. Vignal, P. Côrtes, A. Calo, Victor We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framework on PETSc, a high-performance library for the scalable solution of partial differential equations, which simplifies the development of large-scale scientific codes, provides a rich environment for prototyping, and separates parallelism from algorithm choice. We describe the implementation of PetIGA, and exemplify its use by solving a model nonlinear problem. To illustrate the robustness and flexibility of PetIGA, we solve some challenging nonlinear partial differential equations that include problems in both solid and fluid mechanics. We show strong scaling results on up to 4096 cores, which confirm the suitability of PetIGA for large scale simulations. 2016 Journal Article http://hdl.handle.net/20.500.11937/51403 10.1016/j.cma.2016.05.011 fulltext |
| spellingShingle | Dalcin, L. Collier, N. Vignal, P. Côrtes, A. Calo, Victor PetIGA: A framework for high-performance isogeometric analysis |
| title | PetIGA: A framework for high-performance isogeometric analysis |
| title_full | PetIGA: A framework for high-performance isogeometric analysis |
| title_fullStr | PetIGA: A framework for high-performance isogeometric analysis |
| title_full_unstemmed | PetIGA: A framework for high-performance isogeometric analysis |
| title_short | PetIGA: A framework for high-performance isogeometric analysis |
| title_sort | petiga: a framework for high-performance isogeometric analysis |
| url | http://hdl.handle.net/20.500.11937/51403 |