2 papers
math.AP2020
Average-distance problem with curvature penalization for data parameterization: regularity of minimizers
Xinyang Lu, Dejan Slepcev
We propose a model for finding one-dimensional structure in a given measure. Our approach is based on minimizing an objective functional which combines the average-distance functio…
math.AP2019
An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems
Huaiqian You, Xin Yang Lu, Nathaniel Trask +1
In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter characterizing the range of nonlocal interactions, and consider the treatment of…