PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces
© 2016 Elsevier B.V.We describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. T...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Ltd
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/50904 |
| _version_ | 1848758564417437696 |
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| author | Sarmiento, A. Côrtes, A. Garcia, D. Dalcin, L. Collier, N. Calo, Victor |
| author_facet | Sarmiento, A. Côrtes, A. Garcia, D. Dalcin, L. Collier, N. Calo, Victor |
| author_sort | Sarmiento, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 Elsevier B.V.We describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier–Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver. |
| first_indexed | 2025-11-14T09:46:00Z |
| format | Journal Article |
| id | curtin-20.500.11937-50904 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:46:00Z |
| publishDate | 2017 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-509042018-03-29T09:09:26Z PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces Sarmiento, A. Côrtes, A. Garcia, D. Dalcin, L. Collier, N. Calo, Victor © 2016 Elsevier B.V.We describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier–Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver. 2017 Journal Article http://hdl.handle.net/20.500.11937/50904 10.1016/j.jocs.2016.09.010 Elsevier Ltd restricted |
| spellingShingle | Sarmiento, A. Côrtes, A. Garcia, D. Dalcin, L. Collier, N. Calo, Victor PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces |
| title | PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces |
| title_full | PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces |
| title_fullStr | PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces |
| title_full_unstemmed | PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces |
| title_short | PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces |
| title_sort | petiga-mf: a multi-field high-performance toolbox for structure-preserving b-splines spaces |
| url | http://hdl.handle.net/20.500.11937/50904 |