7 citations · 9 across the 5 of their papers we have counts for
11 papers
Quasi-linear fractional-order operators in Lipschitz domains
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
We prove Besov boundary regularity for solutions of the homogeneous Dirichlet problem for fractional-order quasi-linear operators with variable coefficients on Lipschitz domains $Ω…
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…
Time fractional gradient flows: Theory and numerics
Wenbo Li, Abner J. Salgado
We develop the theory of fractional gradient flows: an evolution aimed at the minimization of a convex, l.s.c.~energy, with memory effects. This memory is characterized by the fact…
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…
Quasisymmetric embeddings of slit Sierpiński carpets
Hrant Hakobyan, Wenbo Li
We study the problem of quasisymmetrically embedding spaces homeomorphic to the Sierpiński carpet into the plane. In the case of so called dyadic slit carpets, several characteriza…
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…
Quasisymmetric Embeddability of Weak Tangents
Wen-Bo Li
In this paper, we study the quasisymmetric embeddability of weak tangents of metric spaces. We first show that quasisymmetric embeddability is hereditary, i.e., if can be quasi…