242 citations · 611 across the 19 of their papers we have counts for
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Finite element approximations of the nonhomogeneous fractional Dirichlet problem
Gabriel Acosta, Juan Pablo Borthagaray, Norbert Heuer
We study finite element approximations of the nonhomogeneous Dirichlet problem for the fractional Laplacian. Our approach is based on weak imposition of the Dirichlet condition and…
Numerical Methods for Fractional Diffusion
Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto +2
We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first method is a PDE approa…
Finite element approximations for fractional evolution problems
Gabriel Acosta, Francisco M. Bersetche, Juan Pablo Borthagaray
This work introduces and analyzes a finite element scheme for evolution problems involving fractional-in-time and in-space differentiation operators up to order two. The left-sided…