55 citations · 82 across the 9 of their papers we have counts for
4 papers · 1 filter
On Sinc Quadrature Approximations of Fractional Powers of Regularly Accretive Operators
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We consider the finite element approximation of fractional powers of regularly accretive operators via the Dunford-Taylor integral approach. We use a sinc quadrature scheme to appr…
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems
Beiping Duan, Bangti Jin, Raytcho Lazarov +2
We present and analyze a space-time Petrov-Galerkin finite element method for a time-fractional diffusion equation involving a Riemann-Liouville fractional derivative of order $α\i…
Numerical Approximation of the Integral Fractional Laplacian
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral represen…
Numerical Approximation of Space-time Fractional Parabolic Equations
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
In this paper, we develop a numerical scheme for the space-time fractional parabolic equation, i.e., an equation involving a fractional time derivative and a fractional spatial ope…