3 citations · 10 across the 14 of their papers we have counts for
14 papers
Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems
Qiang Du, Lili Ju, Jianfang Lu +1
In this paper, we consider a class of discontinuous Galerkin (DG) methods for one-dimensional nonlocal diffusion (ND) problems. The nonlocal models, which are integral equations, a…
EfficientGS: Streamlining Gaussian Splatting for Large-Scale High-Resolution Scene Representation
Wenkai Liu, Tao Guan, Bin Zhu +5
In the domain of 3D scene representation, 3D Gaussian Splatting (3DGS) has emerged as a pivotal technology. However, its application to large-scale, high-resolution scenes (exceedi…
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…
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…
A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility
Dianming Hou, Zhonghua Qiao, Lili Ju
In this paper, a linear second order numerical scheme is developed and investigated for the Allen-Cahn equation with a general positive mobility. In particular, our fully discrete…
Deep surrogate model for learning Green's function associated with linear reaction-diffusion operator
Junqing Ji, Lili Ju, Xiaoping Zhang
In this paper, we present a deep surrogate model for learning the Green's function associated with the reaction-diffusion operator in rectangular domain. The U-Net architecture is…