Published Paper

Inserted: 21 jun 2023
Last Updated: 29 nov 2024

Journal: Adv. Calc. Var.
Volume: 17
Pages: 1507--1518
Year: 2024
Doi: 10.1515/acv-2023-0028

Abstract:

We study a discrete approximation of functionals depending on nonlocal gradients. The discretized functionals are proved to be coercive in classical Sobolev spaces. The key ingredient in the proof is a formulation in terms of circulant Toeplitz matrices.

Keywords: Nonlocal Gradients, discrete-to-continuum, Discrete approximation, Toeplitz matrices