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

Zhou Zhi-qiang | Zendy; WU Hong-ying | Zendy

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

Author(s) -

Zhou Zhi-qiang,

WU Hong-ying

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/385463

Subject(s) - mathematics , discretization , norm (philosophy) , mathematical analysis , advection , rate of convergence , multigrid method , smoothing , finite element method , convergence (economics) , matrix (chemical analysis) , partial differential equation , physics , computer science , quantum mechanics , materials science , telecommunications , channel (broadcasting) , statistics , political science , law , economics , thermodynamics , economic growth , composite material

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

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