2 papers
math.NA2020
An Efficient Online-Offline Method for Elliptic Homogenization Problems
Yufang Huang, Pingbing Ming, Siqi Song
We present a new numerical method for solving the elliptic homogenization problem. The main idea is that the missing effective matrix is reconstructed by solving the local least-sq…
math.NA2019
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions
Yulei Liao, Pingbing Ming
We propose a new method to deal with the essential boundary conditions encountered in the deep learning-based numerical solvers for partial differential equations. The trial functi…