The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a highe...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/51377 |
| _version_ | 1848758682841513984 |
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| author | Collier, N. Pardo, D. Dalcin, L. Paszynski, M. Calo, Victor |
| author_facet | Collier, N. Pardo, D. Dalcin, L. Paszynski, M. Calo, Victor |
| author_sort | Collier, N. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause. © 2011 Elsevier B.V. |
| first_indexed | 2025-11-14T09:47:52Z |
| format | Journal Article |
| id | curtin-20.500.11937-51377 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:47:52Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-513772017-09-13T15:35:58Z The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers Collier, N. Pardo, D. Dalcin, L. Paszynski, M. Calo, Victor We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause. © 2011 Elsevier B.V. 2012 Journal Article http://hdl.handle.net/20.500.11937/51377 10.1016/j.cma.2011.11.002 restricted |
| spellingShingle | Collier, N. Pardo, D. Dalcin, L. Paszynski, M. Calo, Victor The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers |
| title | The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers |
| title_full | The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers |
| title_fullStr | The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers |
| title_full_unstemmed | The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers |
| title_short | The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers |
| title_sort | cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
| url | http://hdl.handle.net/20.500.11937/51377 |