A Discontinuous Finite Volume Method for the Darcy-Stokes Equations
This paper proposes a discontinuous finite volume method for the Darcy-Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm. First-order L2-error estimates are derived for the approximations of both velocity and pressure. Some numerical e...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/761242 |
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| _version_ | 1850232966099238912 |
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| author | Zhe Yin Ziwen Jiang Qiang Xu |
| author_facet | Zhe Yin Ziwen Jiang Qiang Xu |
| author_sort | Zhe Yin |
| collection | DOAJ |
| description | This paper proposes a discontinuous finite volume method for the Darcy-Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm. First-order L2-error estimates are derived for the approximations of both velocity and pressure. Some numerical examples verifying the theoretical predictions are presented. |
| format | Article |
| id | doaj-art-0cedf676d5fb40489be4aca74ae29ffa |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0cedf676d5fb40489be4aca74ae29ffa2025-08-20T02:03:01ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/761242761242A Discontinuous Finite Volume Method for the Darcy-Stokes EquationsZhe Yin0Ziwen Jiang1Qiang Xu2School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, ChinaThis paper proposes a discontinuous finite volume method for the Darcy-Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm. First-order L2-error estimates are derived for the approximations of both velocity and pressure. Some numerical examples verifying the theoretical predictions are presented.http://dx.doi.org/10.1155/2012/761242 |
| spellingShingle | Zhe Yin Ziwen Jiang Qiang Xu A Discontinuous Finite Volume Method for the Darcy-Stokes Equations Journal of Applied Mathematics |
| title | A Discontinuous Finite Volume Method for the Darcy-Stokes Equations |
| title_full | A Discontinuous Finite Volume Method for the Darcy-Stokes Equations |
| title_fullStr | A Discontinuous Finite Volume Method for the Darcy-Stokes Equations |
| title_full_unstemmed | A Discontinuous Finite Volume Method for the Darcy-Stokes Equations |
| title_short | A Discontinuous Finite Volume Method for the Darcy-Stokes Equations |
| title_sort | discontinuous finite volume method for the darcy stokes equations |
| url | http://dx.doi.org/10.1155/2012/761242 |
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