Weiye Gan

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math.AP2025

A Nonlocal Biharmonic Model with $I^$ -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

$I^$ -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…

A Nonlocal Biharmonic Model with I^-Convergence to Local Model and an Efficient Numerical Method

I^-convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data

A Nonlocal Biharmonic Model with $I^$ -Convergence to Local Model and an Efficient Numerical Method

$I^$ -convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data