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math.NA2021★ 70 cited
A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture
Siavash Jafarzadeh, Farzaneh Mousavi, Adam Larios +1
We introduce a general and fast convolution-based method (FCBM) for peridynamics (PD). Expressing the PD integrals in terms of convolutions and computing them by fast Fourier trans…
math.NA2019★ 54 cited
Efficient solutions for nonlocal diffusion problems via boundary-adapted spectral methods
Siavash Jafarzadeh, Adam Larios, Florin Bobaru
We introduce an efficient boundary-adapted spectral method for peridynamic diffusion problems with arbitrary boundary conditions. The spectral approach transforms the convolution i…