7 citations · 18 across the 8 of their papers we have counts for
5 papers · 1 filter
Neural Networks Based on Power Method and Inverse Power Method for Solving Linear Eigenvalue Problems
Qihong Yang, Yangtao Deng, Yu Yang +2
In this article, we propose two kinds of neural networks inspired by power method and inverse power method to solve linear eigenvalue problems. These neural networks share similar…
An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems
Xiao Zhang, Xiaoping Xie, Shiquan Zhang
The embedded discontinuous Galerkin (EDG) method by Cockburn et al. [SIAM J. Numer. Anal., 2009, 47(4), 2686-2707] is obtained from the hybridizable discontinuous Galerkin method b…
Analysis of a two-level algorithm for HDG methods for diffusion problems
Binjie Li, Xiaoping Xie, Shiquan Zhang
This paper analyzes an abstract two-level algorithm for hybridizable discontinuous Galerkin (HDG) methods in a unified fashion. We use an extended version of the Xu-Zikatanov (X-Z)…
A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries
Mario Ohlberger, Stephan Rave, Sebastian Schmidt +1
In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of curren…
Combined Preconditioning with Applications in Reservoir Simulation
Xiaozhe Hu, Shuhong Wu, Xiao-Hui Wu +4
We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergen…