Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping
We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons betwe...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/985864 |
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| _version_ | 1850234906849837056 |
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| author | Jilian Wu Pengzhan Huang Xinlong Feng |
| author_facet | Jilian Wu Pengzhan Huang Xinlong Feng |
| author_sort | Jilian Wu |
| collection | DOAJ |
| description | We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons between them in three numerical examples which show that the local Gauss integration method has good stability, efficiency, and accuracy properties and it is better than the others for the steady incompressible flow problem with damping on the whole. However, to our surprise, the regular method spends less CPU-time and has better accuracy properties by using Crout solver. |
| format | Article |
| id | doaj-art-1811db40ec0d46a19575d626e8940be3 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1811db40ec0d46a19575d626e8940be32025-08-20T02:02:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/985864985864Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with DampingJilian Wu0Pengzhan Huang1Xinlong Feng2College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaWe discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons between them in three numerical examples which show that the local Gauss integration method has good stability, efficiency, and accuracy properties and it is better than the others for the steady incompressible flow problem with damping on the whole. However, to our surprise, the regular method spends less CPU-time and has better accuracy properties by using Crout solver.http://dx.doi.org/10.1155/2013/985864 |
| spellingShingle | Jilian Wu Pengzhan Huang Xinlong Feng Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping Journal of Applied Mathematics |
| title | Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping |
| title_full | Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping |
| title_fullStr | Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping |
| title_full_unstemmed | Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping |
| title_short | Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping |
| title_sort | numerical study on several stabilized finite element methods for the steady incompressible flow problem with damping |
| url | http://dx.doi.org/10.1155/2013/985864 |
| work_keys_str_mv | AT jilianwu numericalstudyonseveralstabilizedfiniteelementmethodsforthesteadyincompressibleflowproblemwithdamping AT pengzhanhuang numericalstudyonseveralstabilizedfiniteelementmethodsforthesteadyincompressibleflowproblemwithdamping AT xinlongfeng numericalstudyonseveralstabilizedfiniteelementmethodsforthesteadyincompressibleflowproblemwithdamping |