An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers. - Li, Hongliang; Ming, Pingbing (Appl. Math. Lett., 2024)

A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator. - Guo, Yixiao; Ming, Pingbing (J. Syst. Sci. Complex., 2024)

Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited. - Ming, Pingbing; Song, Siqi (Multiscale Model. Simul., 2024)

Generalization Error Estimates of Machine Learning Methods for Solving High Dimensional Schrödinger Eigenvalue Problems. - Yu, Hao; Guo, Yixiao; Ming, Pingbing (CoRR, 2024)

The TRUNC element in any dimension and application to a modified Poisson equation. - Li, Hongliang; Ming, Pingbing; Zhou, Yinghong (CoRR, 2024)

Taylor-Hood Like Finite Elements for Nearly Incompressible Strain Gradient Elasticity Problems. - Liao, Yulei; Ming, Pingbing; Xu, Yun (J. Sci. Comput., 2023)

A pre-training deep learning method for simulating the large bending deformation of bilayer plates. - Li, Xiang; Liao, Yulei; Ming, Pingbing (CoRR, 2023)

A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator. - Guo, Yixiao; Ming, Pingbing (CoRR, 2023)

Spectral Barron space and deep neural network approximation. - Liao, Yulei; Ming, Pingbing (CoRR, 2023)

A Nitsche Hybrid Multiscale Method with Non-matching Grids. - Ming, Pingbing; Song, Siqi (J. Sci. Comput., 2022)

Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited. - Ming, Pingbing; Song, Siqi (CoRR, 2022)

H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model. - Li, Hongliang; Ming, Pingbing; Wang, Huiyu (J. Sci. Comput., 2021)

A Nitsche Hybrid multiscale method with non-matching grids. - Ming, Pingbing; Song, Siqi (CoRR, 2021)

H2- Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model. - Li, Hongliang; Ming, Pingbing; Wang, Huiyu (CoRR, 2021)

A family of mixed finite elements for nearly incompressible strain gradient elastic models. - Liao, Yulei; Ming, Pingbing; Xu, Yun (CoRR, 2021)

An Efficient Online-Offline Method for Elliptic Homogenization Problems. - Huang, Yufang; Ming, Pingbing; Song, Siqi (CoRR, 2020)

An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element. - Li, Ruo; Ming, Pingbing; Sun, Ziyuan; Yang, Zhijian (J. Sci. Comput., 2019)

Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions. - Liao, Yulei; Ming, Pingbing (CoRR, 2019)

A Concurrent Global-Local Numerical Method for Multiscale PDEs. - Huang, Yufang; Lu, Jianfeng; Ming, Pingbing (J. Sci. Comput., 2018)

Two robust nonconforming \(\hbox {H}^2\) -elements for linear strain gradient elasticity. - Li, Hongliang; Ming, Pingbing; Shi, Zhongci (Numerische Mathematik, 2017)

A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain. - Ming, Pingbing; Xu, Xianmin (Multiscale Model. Simul., 2016)

A Study on the Quasi-continuum Approximations of a One-Dimensional Fracture Model. - Li, Xiantao; Ming, Pingbing (Multiscale Model. Simul., 2014)

Stability Of A Force-Based Hybrid Method With Planar Sharp Interface. - Lu, Jianfeng; Ming, Pingbing (SIAM J. Numer. Anal., 2014)

An Efficient High Order Heterogeneous Multiscale Method for Elliptic Problems. - Li, Ruo; Ming, Pingbing; Tang, Fengyang (Multiscale Model. Simul., 2012)

Convergence of the Heterogeneous Multiscale Finite Element Method for Elliptic Problems with Nonsmooth Microstructures. - Du, Rui; Ming, Pingbing (Multiscale Model. Simul., 2010)

Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method. - Braess, Dietrich; Ming, Pingbing; Shi, Zhongci (SIAM J. Numer. Anal., 2010)

Analysis of a One-Dimensional Nonlocal Quasi-Continuum Method. - Ming, Pingbing; Yang, Jerry Zhijian (Multiscale Model. Simul., 2009)

Analysis of the heterogeneous multiscale method for parabolic homogenization problems. - Ming, Pingbing; Zhang, Pingwen (Math. Comput., 2007)

Numerical methods for multiscale elliptic problems. - Ming, Pingbing; Yue, Xingye (J. Comput. Phys., 2006)

Analysis of some low order quadrilateral Reissner-Mindlin plate elements. - Ming, Pingbing; Shi, Zhongci (Math. Comput., 2006)

A finite element method for nearly incompressible elasticity problems. - Braess, Dietrich; Ming, Pingbing (Math. Comput., 2005)

Optimal ℒ2 error bounds for MITC3 type element. - Ming, Pingbing; Shi, Zhongci (Numerische Mathematik, 2002)