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STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 4, 页码: 4930-4953
作者:  Chen, Liang-Biao;  Yao, Peng-Fei
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
shell  nonlinear elasticity  Riemannian geometry  tensor analysis  
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
作者:  Li, Hongliang;  Ming, Pingbing;  Wang, Huiyu
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
Strain gradient elasticity  H2-Korn's  Robust finite elements  
Strain tensors on hyperbolic surfaces and their applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 1, 页码: 36
作者:  Yao, Peng-Fei
收藏  |  浏览/下载：177/0  |  提交时间：2021/06/01
Keywords hyperbolic surface  Shell  Nonlinear elasticity  Riemannian geometry  
Weighted integral solvers for elastic scattering by open arcs in two dimensions 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 18
作者:  Bruno, Oscar P.;  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载：120/0  |  提交时间：2021/04/26
Calderó  n relation  elasticity  open arc  second‐  kind integral solver  
Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 17
作者:  Yao Pengfei
收藏  |  浏览/下载：130/0  |  提交时间：2021/04/26
Geometry rigidity inequality  shell  nonlinear elasticity  Riemannian geometry  
The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
作者:  Qin, Yizhao;  Yao, Peng-Fei
收藏  |  浏览/下载：123/0  |  提交时间：2020/09/23
Nonlinear elasticity  thin shell  time-dependent von Karman equations  
Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 页码: 23
作者:  Yao, Peng-Fei
收藏  |  浏览/下载：113/0  |  提交时间：2020/09/23
Korn's inequality  Shell  Nonlinear elasticity  Riemannian geometry  
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
作者:  Liao, Yulei;  Ming, Pingbing
收藏  |  浏览/下载：197/0  |  提交时间：2020/01/10
Nonconforming finite elements  strain gradient elasticity  uniform error estimate  
A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
作者:  Hu, Qiya;  Hu, Shaoliang
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate  
LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 卷号: 51, 期号: 2, 页码: 1387-1435
作者:  Yao, Peng-Fei
收藏  |  浏览/下载：145/0  |  提交时间：2020/01/10
hyperbolic surface  shell  nonlinear elasticity  Riemannian geometry