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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:47/0  |  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:106/0  |  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:174/0  |  提交时间:2021/06/01
Keywords hyperbolic surface  Shell  Nonlinear elasticity  Riemannian geometry  
ON THE STABILITY OF TWO-DIMENSIONAL NONISENTROPIC ELASTIC VORTEX SHEETS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2519-2533
作者:  Chen, Robin ming;  Huang, F. E. I. M. I. N.;  Wang, D. E. H. U. A.;  Yuan, D. I. F. A. N.
收藏  |  浏览/下载:144/0  |  提交时间:2021/10/26
Vortex sheets  Elastodynamics  contact discontinuities  stability  
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:118/0  |  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:128/0  |  提交时间:2021/04/26
Geometry rigidity inequality  shell  nonlinear elasticity  Riemannian geometry  
Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity 期刊论文
APPLICABLE ANALYSIS, 2020, 卷号: 99, 期号: 11, 页码: 1953-1971
作者:  Qin, Yizhao;  Yao, Peng-Fei
收藏  |  浏览/下载:167/0  |  提交时间:2020/09/23
Fluid-structure interaction  variable coefficient wave equations  geometric multiplier method  boundary dissipation  Navier-Stokes equations  energy decay  49k20  
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:122/0  |  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:111/0  |  提交时间:2020/09/23
Korn's inequality  Shell  Nonlinear elasticity  Riemannian geometry  
Nonstandard finite element de Rham complexes on cubical meshes 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 卷号: 60, 期号: 2, 页码: 373-409
作者:  Gillette, Andrew;  Hu, Kaibo;  Zhang, Shuo
收藏  |  浏览/下载:147/0  |  提交时间:2020/06/30
Finite element  Nonconforming element  de Rham complex