research
∙
07/15/2023
Error Analysis of Virtual Element Method for the Poisson-Boltzmann Equation
The Poisson-Boltzmann equation is a nonlinear elliptic equation with Dir...
share
research
∙
10/27/2022
FAS-UNet: A Novel FAS-driven Unet to Learn Variational Image Segmentation
Solving variational image segmentation problems with hidden physics is o...
research
∙
10/08/2022
Fourier Neural Solver for large sparse linear algebraic systems
Large sparse linear algebraic systems can be found in a variety of scien...
research
∙
08/18/2022
An Improved Multi-Stage Preconditioner on GPUs for Compositional Reservoir Simulation
The compositional model is often used to describe multicomponent multiph...
research
∙
07/14/2022
Error Analysis of Virtual Element Methods for the Time-dependent Poisson-Nernst-Planck Equations
We discuss and analyze the virtual element method on general polygonal m...
research
∙
01/06/2022
Parallel Multi-Stage Preconditioners with Adaptive Setup for the Black Oil Model
The black oil model is widely used to describe multiphase porous media f...
research
∙
11/11/2021
Solving time-dependent parametric PDEs by multiclass classification-based reduced order model
In this paper, we propose a network model, the multiclass classification...
research
∙
05/28/2021
Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems
The research of two-level overlapping Schwarz (TL-OS) method based on co...
research
∙
02/12/2020
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations
The paper focuses on developing and studying efficient block preconditio...
research
∙
01/02/2020
Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations
The a posteriori error estimates are studied for a class of nonlinear st...
research
∙
09/10/2019
Adaptive-Multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems
In this paper we are concerned with the weighted plane wave least-square...
research
∙
07/09/2019
SVGD: A Virtual Gradients Descent Method for Stochastic Optimization
Inspired by dynamic programming, we propose Stochastic Virtual Gradient ...
research
∙
06/17/2019
