On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods

DOI10.1137/21M1448227zbMath1497.45015arXiv2109.12485MaRDI QIDQ5096452

Qiang Du, Xiaobo Yin, Hehu Xie

Publication date: 17 August 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12485

zbMATH Keywords

convergencepolygonal approximationperidynamicsnonlocal modelasymptotically compatiblehorizon parameter

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Theoretical approximation of solutions to integral equations (45L05) Applications of functional analysis to differential and integral equations (46N20)

Related Items (1)

Analysis of (shifted) piecewise quadratic polynomial collocation for nonlocal diffusion model

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