242 citations · 611 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
Secretary Problem with quality-based payoff
Pablo Blanc, Juan Pablo Borthagaray, Daniel Kohen +1
We consider a variant of the classical Secretary Problem. In this setting, the candidates are ranked according to some exchangeable random variable and the quest is to maximize the…
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…