69 citations · 518 across the 94 of their papers we have counts for
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A Nonlocal -Laplacian Interface Model with Sharp Interface
Kehan Shi, Zuoqiang Shi, Tangjun Wang
We propose an energy-based nonlocal -Laplacian interface problem. Neumann interface conditions are naturally formulated via the energy, while Dirichlet conditions are enforced t…
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…
A seamless local-nonlocal coupling diffusion model with vanishing nonlocality convergence
Yanzun Meng, Zuoqiang Shi
Based on the development in dealing with nonlocal boundary conditions, we propose a seamless local-nonlocal coupling diffusion model in this paper. In our model, a finite constant…
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…
Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition
Yanzun Meng, Zuoqiang Shi
In this paper, we propose nonlocal diffusion models with Dirichlet boundary. These nonlocal diffusion models preserve the maximum principle and also have corresponding variational…
-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…