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math.NA2022
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited
Pingbing Ming, Siqi Song
We derive the optimal energy error estimate for multiscale finite element method with oversampling technique applying to elliptic system with rapidly oscillating periodic coefficie…
math.NA2021
A Nitsche Hybrid multiscale method with non-matching grids
Pingbing Ming, Siqi Song
We propose a Nitsche method for multiscale partial differential equations, which retrieves the macroscopic information and the local microscopic information at one stroke. We prove…
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…