146 citations · 289 across the 27 of their papers we have counts for
4 papers · 1 filter
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…
The decomposition-coordination method for the -Laplacian
Leandro Del Pezzo, Sandra Martinez
In this paper we construct two algorithms to approximate the minimizer of a discrete functional which comes from using a discontinuous Galerkin method for a variational problem rel…
Order of convergence of the finite element method for the Laplacian
Leandro M. Del Pezzo, Sandra Martínez
In this work, we study the rate of convergence of the finite element method for the Laplacian () in two dimensional convex domains.
Interior penalty discontinuous Galerkin FEM for the -Laplacian
L. M. Del Pezzo, A. Lombardi, S. Martínez
In this paper we construct an "Interior Penalty" Discontinuous Galerkin method to approximate the minimizer of a variational problem related to the Laplacian. The function $…