期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 22, 期 3, 页码 558-576出版社
WILEY
DOI: 10.1002/num.20112
关键词
finite element method; fractional differential operator; fractional diffusion equation; fractional advection dispersion equation
In this article a theoretical framework for the Galerkin finite element approximation to the steady state fractional advection dispersion equation is presented. Appropriate fractional derivative spaces are defined and shown to be equivalent to the usual fractional dimension Sobolev spaces H-s. Existence and uniqueness results are proven, and error estimates for the Galerkin approximation derived. Numerical results are included that confirm the theoretical estimates. (C) 2005 Wiley Periodicals, Inc.
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