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Author

Yu-Feng Nie

2 papers indexed here

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Sep 2026

Spectrally stable dispersion matching for peridynamic approximation of periodic atomistic chains

Peridynamics and atomistic lattice models both describe motion through nonlocal interactions, but a generic peridynamic kernel does not necessarily reproduce atomistic dispersion. This article constructs a spectrally stable, dispersion-matched peridynamic approximation for one-dimensional periodic chains with finite-...

Shang-Yuan Zhang, Meng-Na Yang, Yu-Feng Nie · 0 citations
Preprint Sep 2026

A mesh- and horizon-robust preconditioner for finite element discretizations of volume-constrained nonlocal diffusion problems

In this paper, we develop a preconditioner that is robust with respect to both the mesh size and the interaction horizon for finite element discretizations of volume-constrained nonlocal diffusion problems. Motivated by the Fourier multiplier of the nonlocal operator, we construct the preconditioner $B_h=G_h+\beta\delt...

Jia-Shu Lu, Yu-Feng Nie, Hao-Lun Zhang et al. · 0 citations

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