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Article
Linear Peridynamics Fourier Multipliers and Eigenvalues
A characterization for the Fourier multipliers and eigenvalues of linear peridynamic operators is provided. The analysis is presented for state-based peridynamic operators for isotropic homogeneous media in an...
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Article
Fourier Spectral Methods for Nonlocal Models
Efficient and accurate spectral solvers for nonlocal models in any spatial dimension are presented. The approach we pursue is based on the Fourier multipliers of nonlocal Laplace operators introduced in Alali ...