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math.NA2024
A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization
Lili Ju, Hao Tian, Junke Lu
Existing nonlocal diffusion models are predominantly classified into two categories: bond-based models, which involve a single-fold integral and usually simulate isotropic diffusio…
math.NA2024
A high-order multi-time-step scheme for bond-based peridynamics
Chenguang Liu, Jie Sun, Hao Tian +2
A high-order multi-time-step (MTS) scheme for the bond-based peridynamic (PD) model, an extension of classical continuous mechanics widely used for analyzing discontinuous problems…