148 citations · 158 across the 8 of their papers we have counts for
8 papers
Hybrid Eigensolvers for Nuclear Configuration Interaction Calculations
Abdullah Alperen, Metin Aktulga, Pieter Maris +1
We examine and compare several iterative methods for solving large-scale eigenvalue problems arising from nuclear structure calculations. In particular, we discuss the possibility…
PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations
Hailong Sheng, Chao Yang
A new penalty-free neural network method, PFNN-2, is presented for solving partial differential equations, which is a subsequent improvement of our previously proposed PFNN method…
VPVnet: a velocity-pressure-vorticity neural network method for the Stokes' equations under reduced regularity
Yujie Liu, Chao Yang
We present VPVnet, a deep neural network method for the Stokes' equations under reduced regularity. Different with recently proposed deep learning methods [40,51] which are based o…
Parallel finite volume simulation of the spherical shell dynamo with pseudo-vacuum magnetic boundary conditions
Liang Yin, Chao Yang, Shi-Zhuang Ma +2
In this paper, we study the parallel simulation of the magnetohydrodynamic (MHD) dynamo in a rapidly rotating spherical shell with pseudo-vacuum magnetic boundary conditions. A sec…
Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state
Rui Li, Haijian Yang, Chao Yang
Parallel algorithms and simulators with good scalabilities are particularly important for large-scale reservoir simulations on modern supercomputers with a large number of processo…
Parallel energy-stable solver for a coupled Allen-Cahn and Cahn-Hilliard system
Jizu Huang, Chao Yang, Ying Wei
In this paper, we study numerical methods for solving the coupled Allen-Cahn/Cahn-Hilliard system associated with a free energy functional of logarithmic type. To tackle the challe…
PFNN: A Penalty-Free Neural Network Method for Solving a Class of Second-Order Boundary-Value Problems on Complex Geometries
Hailong Sheng, Chao Yang
We present PFNN, a penalty-free neural network method, to efficiently solve a class of second-order boundary-value problems on complex geometries. To reduce the smoothness requirem…
Parallel energy-stable phase field crystal simulations based on domain decomposition methods
Ying Wei, Chao Yang, Jizu Huang
In this paper, we present a parallel numerical algorithm for solving the phase field crystal equation. In the algorithm, a semi-implicit finite difference scheme is derived based o…