research
∙
06/30/2023
Physics-informed invertible neural network for the Koopman operator learning
In Koopman operator theory, a finite-dimensional nonlinear system is tra...
share
research
∙
10/18/2022
A double-parameter robust lower order mixed element method for a strain gradient elastic model
A double-parameter robust nonconforming mixed finite element method is d...
research
∙
09/24/2022
Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations
In this paper, we propose an efficient exponential integrator finite ele...
research
∙
12/27/2021
A novel locking-free virtual element method for linear elasticity problems
This paper devises a novel lowest-order conforming virtual element metho...
research
∙
06/28/2021
An augmented Lagrangian deep learning method for variational problems with essential boundary conditions
This paper is concerned with a novel deep learning method for variationa...
research
∙
04/11/2021
Adaptive Learning on the Grids for Elliptic Hemivariational Inequalities
This paper introduces a deep learning method for solving an elliptic hem...
research
∙
01/22/2021
A sparse grid discrete ordinate discontinuous Galerkin method for the radiative transfer equation
The radiative transfer equation is a fundamental equation in transport t...
research
∙
12/15/2020
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning
This paper proposes Friedrichs learning as a novel deep learning methodo...
research
∙
10/03/2019
Int-Deep: A Deep Learning Initialized Iterative Method for Nonlinear Problems
This paper focuses on proposing a deep learning initialized iterative me...
research
∙
06/22/2013
