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A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
Authors:  Ming, Pingbing;  Song, Siqi
Favorite  |  View/Download:18/0  |  Submit date:2022/04/29
Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 88, 期号: 3, 页码: 23
Authors:  Li, Hongliang;  Ming, Pingbing;  Wang, Huiyu
Favorite  |  View/Download:18/0  |  Submit date:2022/04/02
Strain gradient elasticity  H2-Korn's  Robust finite elements  
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 5, 页码: 1365-1384
Authors:  Liao, Yulei;  Ming, Pingbing
Favorite  |  View/Download:42/0  |  Submit date:2021/06/01
Deep Nitsche Method  Deep Ritz Method  neural network approximation  mixed boundary conditions  curse of dimensionality  
A phase field framework for dynamic adiabatic shear banding 期刊论文
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2020, 卷号: 135, 页码: 19
Authors:  Xu, Yun;  Ming, Pingbing;  Chen, Jun
Favorite  |  View/Download:53/0  |  Submit date:2020/05/24
Phase field  Variational formulation  Adiabatic shear bands  Strain gradient theory  Finite element simulation  
THE QUADRATIC SPECHT TRIANGLE 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 1, 页码: 103-124
Authors:  Li, Hongliang;  Ming, Pingbing;  Shi, Zhongci
Favorite  |  View/Download:43/0  |  Submit date:2020/05/24
Specht triangle  Plate bending element  Basis functions  
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 卷号: 11, 期号: 6, 页码: 1263-1286
Authors:  Liao, Yulei;  Ming, Pingbing
Favorite  |  View/Download:81/0  |  Submit date:2020/01/10
Nonconforming finite elements  strain gradient elasticity  uniform error estimate  
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 268-288
Authors:  Li, Ruo;  Ming, Pingbing;  Sun, Ziyuan;  Yang, Zhijian
Favorite  |  View/Download:55/0  |  Submit date:2020/01/10
Least-squares reconstruction  Discontinuous Galerkin method  Elliptic problem  
DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 561-578
Authors:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
Favorite  |  View/Download:113/0  |  Submit date:2019/03/11
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 524-540
Authors:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
Favorite  |  View/Download:46/0  |  Submit date:2020/05/24
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 卷号: 230, 期号: 2, 页码: 735-781
Authors:  Luo, Tao;  Ming, Pingbing;  Xiang, Yang
Favorite  |  View/Download:61/0  |  Submit date:2018/09/08