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.
Discrete approximation of nonlocal-gradient energies / Braides, Andrea; Causin, Andrea; Solci, Margherita. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - (2023). [10.1515/acv-2023-0028]
Discrete approximation of nonlocal-gradient energies
Andrea Causin;Margherita Solci
2023-01-01
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.File in questo prodotto:
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