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20152026
most citedA fractional Laplace equation: regularity of solutions and Finite Element approximations

242 citations · 463 across the 11 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.NA2017★ 20 cited

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…

math.NA2017

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…