A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow
We introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media. We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes. In the present mixed finite element, the approximate velocity...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/580461 |
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| _version_ | 1832562272494419968 |
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| author | Xindong Li Hongxing Rui |
| author_facet | Xindong Li Hongxing Rui |
| author_sort | Xindong Li |
| collection | DOAJ |
| description | We introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media. We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes. In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the error estimates are obtained for both the velocity and the pressure. Numerical examples are presented to confirm the theoretical analysis. |
| format | Article |
| id | doaj-art-72ae636ac27040d991e08b4fc00a1d36 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-72ae636ac27040d991e08b4fc00a1d362025-02-03T01:23:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/580461580461A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy FlowXindong Li0Hongxing Rui1School of Mathematics, Shandong University, Jinan 250100, ChinaSchool of Mathematics, Shandong University, Jinan 250100, ChinaWe introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media. We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes. In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the error estimates are obtained for both the velocity and the pressure. Numerical examples are presented to confirm the theoretical analysis.http://dx.doi.org/10.1155/2013/580461 |
| spellingShingle | Xindong Li Hongxing Rui A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow Abstract and Applied Analysis |
| title | A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow |
| title_full | A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow |
| title_fullStr | A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow |
| title_full_unstemmed | A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow |
| title_short | A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow |
| title_sort | rectangular mixed finite element method with a continuous flux for an elliptic equation modelling darcy flow |
| url | http://dx.doi.org/10.1155/2013/580461 |
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