## Journal of Applied Mathematics

### Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation

#### Abstract

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 ${L}^{2}$ norm and energy norm for FV-MGM. Numerical examples are given to demonstrate the convergence rate and efficiency of the method.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 385463, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394808009

Digital Object Identifier
doi:10.1155/2013/385463

Mathematical Reviews number (MathSciNet)
MR3064930

Zentralblatt MATH identifier
1271.35069

#### Citation

Zhou, Zhiqiang; Wu, Hongying. Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation. J. Appl. Math. 2013 (2013), Article ID 385463, 8 pages. doi:10.1155/2013/385463. https://projecteuclid.org/euclid.jam/1394808009

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