7 citations · 9 across the 5 of their papers we have counts for
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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…
Convergent, with rates, methods for normalized infinity Laplace, and related, equations
Wenbo Li, Abner J. Salgado
We propose a monotone, and consistent numerical scheme for the approximation of the Dirichlet problem for the normalized Infinity Laplacian, which could be related to the family of…
Finite element algorithms for nonlocal minimal graphs
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
We discuss computational and qualitative aspects of the fractional Plateau and the prescribed fractional mean curvature problems on bounded domains subject to exterior data being a…
Quantitative Stability and Error Estimates for Optimal Transport Plans
Wenbo Li, Ricardo H. Nochetto
Optimal transport maps and plans between two absolutely continuous measures and can be approximated by solving semi-discrete or fully-discrete optimal transport problems. T…
Linear and Nonlinear Fractional Elliptic Problems
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
This paper surveys recent analytical and numerical research on linear problems for the integral fractional Laplacian, fractional obstacle problems, and fractional minimal graphs. T…
Finite element discretizations of nonlocal minimal graphs: convergence
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
In this paper, we propose and analyze a finite element discretization for the computation of fractional minimal graphs of order~ on a bounded domain . Such a Plat…
Two-scale methods for convex envelopes
Wenbo Li, Ricardo H. Nochetto
We develop two-scale methods for computing the convex envelope of a continuous function over a convex domain in any dimension.This hinges on a fully nonlinear obstacle formulation…