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math.AP2025
A Nonlocal Biharmonic Model with -Convergence to Local Model and an Efficient Numerical Method
Weiye Gan, Tangjun Wang, Qiang Du +1
Nonlocal models and their associated theories have been extensively investigated in recent years. Among these, nonlocal versions of the classical Laplace operator have attracted th…
math.AP2024★ 1 cited
Nonlocal Stokes equation with relaxation on the divergence free equation
Yajie Zhang, Qiang Du, Zuoqiang Shi
In this paper, we consider a new nonlocal approximation to the linear Stokes system with periodic boundary conditions in two and three dimensional spaces . A relaxation term is add…
math.AP2023
-convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data
Weiye Gan, Qiang Du, Zuoqiang Shi
We study nonlocal Dirichlet energies associated with a class of nonlocal diffusion models on a bounded domain subject to the conventional local Dirichlet boundary condition. The go…