Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation
The stationary fractional advection dispersion equation is discretized by linear finite element scheme, and a full V-cycle multigrid method (FV-MGM) is proposed to solve the resulting system. Some useful properties of the approximation and smoothing operators are proved. Using these properties we de...
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| Main Authors: | , |
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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/10.1155/2013/385463 |
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| _version_ | 1850217688169709568 |
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| author | Zhiqiang Zhou Hongying Wu |
| author_facet | Zhiqiang Zhou Hongying Wu |
| author_sort | Zhiqiang Zhou |
| collection | DOAJ |
| description | The stationary fractional advection dispersion equation is discretized by linear finite element scheme, and a full V-cycle multigrid method (FV-MGM) is proposed to solve the resulting system. Some useful properties of the approximation and smoothing operators are proved. Using these properties we derive the convergence results in both norm and energy norm for FV-MGM. Numerical examples are given to demonstrate the convergence rate and efficiency of the method. |
| format | Article |
| id | doaj-art-37abbb0fb8dc4ef68e00ec388cd881bf |
| 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-37abbb0fb8dc4ef68e00ec388cd881bf2025-08-20T02:07:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/385463385463Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion EquationZhiqiang Zhou0Hongying Wu1Department of Mathematics, Huaihua University, Huaihua 418008, ChinaDepartment of Mathematics, Huaihua University, Huaihua 418008, ChinaThe stationary fractional advection dispersion equation is discretized by linear finite element scheme, and a full V-cycle multigrid method (FV-MGM) is proposed to solve the resulting system. Some useful properties of the approximation and smoothing operators are proved. Using these properties we derive the convergence results in both norm and energy norm for FV-MGM. Numerical examples are given to demonstrate the convergence rate and efficiency of the method.http://dx.doi.org/10.1155/2013/385463 |
| spellingShingle | Zhiqiang Zhou Hongying Wu Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation Journal of Applied Mathematics |
| title | Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation |
| title_full | Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation |
| title_fullStr | Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation |
| title_full_unstemmed | Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation |
| title_short | Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation |
| title_sort | finite element multigrid method for the boundary value problem of fractional advection dispersion equation |
| url | http://dx.doi.org/10.1155/2013/385463 |
| work_keys_str_mv | AT zhiqiangzhou finiteelementmultigridmethodfortheboundaryvalueproblemoffractionaladvectiondispersionequation AT hongyingwu finiteelementmultigridmethodfortheboundaryvalueproblemoffractionaladvectiondispersionequation |