Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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 L2 norm and energy norm for FV-MGM.
Numerical examples are given to demonstrate the convergence rate and efficiency of the method.
American Psychological Association (APA)
Zhou, Zhiqiang& Wu, Hongying. 2013. Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-467935
Modern Language Association (MLA)
Zhou, Zhiqiang& Wu, Hongying. Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-467935
American Medical Association (AMA)
Zhou, Zhiqiang& Wu, Hongying. Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-467935
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467935
