Discrete approximation of nonlocal-gradient energies

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NonlocalDiscrete_SISSA.pdf (260.47 KB)
Date
2023-01-22
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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.
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SISSA 09/2023/MATE
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nonlocal gradients, peridynamics, fractional Sobolev spaces, discrete approximations, discrete-to-continuum convergence
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http://hdl.handle.net/1963/35461
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