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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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2 papers · 1 filter

math.NA2022

Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

This survey hinges on the interplay between regularity and approximation for linear and quasi-linear fractional elliptic problems on Lipschitz domains. For the linear Dirichlet int…

math.NA2022★ 1 cited

A deep first-order system least squares method for solving elliptic PDEs

Francisco M. Bersetche, Juan Pablo Borthagaray

We propose a First-Order System Least Squares (FOSLS) method based on deep-learning for numerically solving second-order elliptic PDEs. The method we propose is capable of dealing…