242 citations · 611 across the 19 of their papers we have counts for
3 papers · 2 filters
A short FE implementation for a 2d homogeneous Dirichlet problem of a Fractional Laplacian
Gabriel Acosta, Francisco M. Bersetche, Juan Pablo Borthagaray
In \cite{AcostaBorthagaray}, a complete -dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we pro…
Regularity theory and high order numerical methods for the (1d)-Fractional Laplacian
Gabriel Acosta, Juan Pablo Borthagaray, Oscar Bruno +1
This paper presents regularity results and associated high-order numerical methods for one-dimensional Fractional-Laplacian boundary-value problems. On the basis of a factorization…
Finite element approximation for the fractional eigenvalue problem
Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue pro…