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

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

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

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

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

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

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

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

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

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

Stability Of A Force-Based Hybrid Method With Planar Sharp Interface. - Jianfeng Lu 001; Pingbing Ming (SIAM J. Numer. Anal., 2014)

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

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

A Concurrent Global-Local Numerical Method for Multiscale PDEs. - Yufang Huang; Jianfeng Lu 001; Pingbing Ming (J. Sci. Comput., 2018)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Spectral Barron Space for Deep Neural Network Approximation. - Yulei Liao; Pingbing Ming (SIAM J. Math. Data Sci., 2025)

Heterogeneous multiscale methods for fourth-order singular perturbations. - Yulei Liao; Pingbing Ming (CoRR, 2025)

A broken Hardy inequality on finite element space and application to strain gradient elasticity. - Yulei Liao; Pingbing Ming (CoRR, 2025)

Sharp uniform approximation for spectral Barron functions by deep neural networks. - Yulei Liao; Pingbing Ming; Hao Yu (CoRR, 2025)

Spectral connvergece of random feature method in one dimension. - Pingbing Ming; Hao Yu (CoRR, 2025)