Discrete approximation of nonlocal-gradient energies

Numerical optimization and variational techniques (65K10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Methods of reduced gradient type (90C52) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Cites Work

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The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
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Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
Numerical methods for nonlocal and fractional models
Discrete Variational Problems with Interfaces
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I

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