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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:106/0  |  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:73/0  |  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:134/0  |  Submit date:2019/03/11
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:79/0  |  Submit date:2018/09/08
Two robust nonconforming -elements for linear strain gradient elasticity 期刊论文
NUMERISCHE MATHEMATIK, 2017, 卷号: 137, 期号: 3, 页码: 691-711
Authors:  Li, Hongliang;  Ming, Pingbing;  Shi, Zhong-ci
Favorite  |  View/Download:57/0  |  Submit date:2018/07/30
Analysis of Geometrically Consistent Schemes with Finite Range Interaction 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 22, 期号: 5, 页码: 1333-1361
Authors:  Li, Hongliang;  Ming, Pingbing
Favorite  |  View/Download:63/0  |  Submit date:2018/07/30
Quasicontinuum method  atomic-to-continuum coupling  stability  finite range interactions  
一个应变梯度有限元的新基函数 期刊论文
数学进展, 2016, 页码: 955-960
Authors:  李鸿亮;  明平兵
Favorite  |  View/Download:32/0  |  Submit date:2021/01/14
应变梯度理论  有限元  基函数  
GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION 期刊论文
Journal of Computational Mathematics, 2012, 卷号: 30, 期号: 6, 页码: 657
Authors:  Chen Jingrun;  Ming Pingbing
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An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2011, 卷号: 10, 期号: 1, 页码: 70-89
Authors:  Chen, Jingrun;  Ming, Pingbing
Favorite  |  View/Download:42/0  |  Submit date:2018/07/30
Multigrid method  linear-scaling algorithm  Cauchy-Born rule  nanoindentation  
HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 卷号: 8, 期号: 4, 页码: 863-885
Authors:  Du, Rui;  Ming, Pingbing
Favorite  |  View/Download:48/0  |  Submit date:2018/07/30
Heterogeneous multiscale method  finite element method  numerical integration schemes  elliptic homogenization problems