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Can I read Numerical Approximation of a One-dimensional Space Fractional Advection–dispersion Equation with Boundary Layer on EtoBox?
Numerical Approximation of a One-dimensional Space Fractional Advection–dispersion Equation with Boundary Layer by John Paul Roop is a Engineering article available to read on EtoBox.
What is Numerical Approximation of a One-dimensional Space Fractional Advection–dispersion Equation with Boundary Layer about?
Finite element computations for singularly perturbed convection-diffusion equations have long been an attractive theme for numerical analysis. In this article, we consider the singularly perturbed fractional advection-dispersion equation (FADE) with boundary layer behavior. We derive a theoretical estimate which shows that the under-resolved case corresponds to < h α-1 , where α is the order of the diffusion operator. We also present a numerical method for solving such an FADE in which the boundary layer is incorporated into the finite element basis, and provide numerical experiments which show that knowledge of the boundary layer (either analytically or through a direct numerical simulation) can be used to greatly enhance the efficiency of the finite element method.
Who reads Numerical Approximation of a One-dimensional Space Fractional Advection–dispersion Equation with Boundary Layer?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- John Paul Roop
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0898-1221)
- Published
- 2008
- Language
- EN
- Field
- Engineering (Physical Sciences)