Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG
We study a streamline upwind Petrov-Galerkin method (SUPG) with bubble stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a consistent Petrov-Galerkin method and shows similar numerical performances as the standard SUPG when the mesh Péclet number is greater than 1. R...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/364675 |
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| _version_ | 1832568038670467072 |
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| author | Xiaowei Liu Jin Zhang |
| author_facet | Xiaowei Liu Jin Zhang |
| author_sort | Xiaowei Liu |
| collection | DOAJ |
| description | We study a streamline upwind Petrov-Galerkin method (SUPG) with bubble
stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a
consistent Petrov-Galerkin method and shows similar numerical performances as the standard
SUPG when the mesh Péclet number is greater than 1. Relationship between the new algorithm and the standard SUPG will be explored. Numerical experiments support these results. |
| format | Article |
| id | doaj-art-e457d55d69774a2489d410f5db289638 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e457d55d69774a2489d410f5db2896382025-02-03T00:59:52ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/364675364675Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPGXiaowei Liu0Jin Zhang1Department of Mathematics, Tongji University, Shanghai 200092, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaWe study a streamline upwind Petrov-Galerkin method (SUPG) with bubble stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a consistent Petrov-Galerkin method and shows similar numerical performances as the standard SUPG when the mesh Péclet number is greater than 1. Relationship between the new algorithm and the standard SUPG will be explored. Numerical experiments support these results.http://dx.doi.org/10.1155/2014/364675 |
| spellingShingle | Xiaowei Liu Jin Zhang Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG Abstract and Applied Analysis |
| title | Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG |
| title_full | Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG |
| title_fullStr | Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG |
| title_full_unstemmed | Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG |
| title_short | Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG |
| title_sort | comparison of supg with bubble stabilization parameters and the standard supg |
| url | http://dx.doi.org/10.1155/2014/364675 |
| work_keys_str_mv | AT xiaoweiliu comparisonofsupgwithbubblestabilizationparametersandthestandardsupg AT jinzhang comparisonofsupgwithbubblestabilizationparametersandthestandardsupg |