Journal of Applied Mathematics

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

Zhiqiang Zhou and Hongying Wu

Full-text: Open access

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 L2 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

Permanent link to this document
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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