2 papers
math.CA2025
Universally Optimal Periodic Configurations in the Plane
Doug Hardin, Nathaniel Tenpas
We develop lower bounds for the energy of configurations in periodic with respect to a lattice. In certain cases, the construction of sharp bounds can be formulated…
math.OC2025
Notes on the discretization of TV-norm regularized inverse potential problems
L Baratchart, D P Hardin, C Villalobos-Guillén
We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valed measures, comp…