3 citations · 5 across the 4 of their papers we have counts for
4 papers
Solving Maxwell's Equation in 2D with Neural Networks with Local Converging Inputs
Harris Cobb, Hwi Lee, Yingjie Liu
In this paper we apply neural networks with local converging inputs (NNLCI), originally introduced in [arXiv:2109.09316], to solve the two dimensional Maxwell's equation around per…
A ghost-point based second order accurate finite difference method on uniform orthogonal grids for electromagnetic scattering around PEC
Hwi Lee, Yingjie Liu
We propose a finite difference method to solve Maxwell's equations in time domain in the presence of a perfect electric conductor that impedes the propagations of electromagnetic w…
Second order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems
Hwi Lee, Qiang Du
We present an approach to handle Dirichlet type nonlocal boundary conditions for nonlocal diffusion models with a finite range of nonlocal interactions. Our approach utilizes a lin…
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications
Hwi Lee, Qiang Du
Nonlocal gradient operators are prototypical nonlocal differential operators thatare very important in the studies of nonlocal models. One of the simplest variational settings for…