61 citations · 63 across the 7 of their papers we have counts for
8 papers · 1 filter
Fast boundary integral method for acoustic wave scattering in two-dimensional layered media
Linfeng Xia, Heng Yuan, Bo Wang +1
In this paper, we present a fast boundary integral method accelerated by the fast multipole method (FMM) for acoustic wave scattering governed by the scalar Helmholtz equation in m…
Fast multipole method for the Laplace equation in half plane with Robin boundary condition
Chunzhi Xiang, Bo Wang, Wenzhong Zhang +1
In this paper, we present a fast multipole method (FMM) for solving the two-dimensional Laplace equation in a half-plane with Robin boundary conditions. The method is based on a no…
Fast Multipole Method for Maxwell's Equations in Layered Media
Heng Yuan, Bo Wang, Wenzhong Zhang +1
We present a fast multipole method (FMM) for solving Maxwell's equations in three-dimensional (3-D) layered media, based on the magnetic vector potential under the…
Linearized Learning Methods with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions
Lizuo Liu, Bo Wang, Wei Cai
In this paper, we present linearized learning methods to accelerate the convergence of training for stationary nonlinear Navier-Stokes equations. To solve the stationary nonlinear…
Multi-scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains
Bo Wang, Wenzhong Zhang, Wei Cai
In this paper, we study a multi-scale deep neural network (MscaleDNN) as a meshless numerical method for computing oscillatory Stokes flows in complex domains. The MscaleDNN employ…
Exponential convergence for multipole and local expansions and their translations for sources in layered media: three-dimensional Laplace equation
Bo Wang, Wenzhong Zhang, Wei Cai
In this paper, we prove the exponential convergence of the multipole and local expansions, shifting and translation operators used in fast multipole methods (FMMs) for 3-dimensiona…