Discrete approximation of nonlocal-gradient energies

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.

Automated summary

This paper focuses on the discrete approximation of functionals depending on nonlocal gradients, and proves that the discretized functionals are coercive in classical Sobolev spaces.