J. P. Borthagaray

activity

20152026

most citedA fractional Laplace equation: regularity of solutions and Finite Element approximations

242 citations · 611 across the 19 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NA2018

On the convergence in $H^{1}$ -norm for the fractional Laplacian

Juan Pablo Borthagaray, Patrick Ciarlet

We consider the numerical solution of the fractional Laplacian of index $s \in (1/2, 1)$ in a bounded domain $Ω$ with homogeneous boundary conditions. Its solution a priori belongs to…

math.NA2018

Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian

Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado

We obtain regularity results in weighted Sobolev spaces for the solution of the obstacle problem for the integral fractional Laplacian. The weight is a power of the distance to the…

On the convergence in H1-norm for the fractional Laplacian

Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian

On the convergence in $H^{1}$ -norm for the fractional Laplacian