P-VERSION

作品数:13被引量:20H指数:3
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相关领域:理学自动化与计算机技术更多>>
相关作者:曹礼群陶利娜王联芳黄若煜谢资清更多>>
相关机构:湖南师范大学湘潭大学华东师范大学大连理工大学更多>>
相关期刊:《Applied Mathematics and Mechanics(English Edition)》《Journal of Hydrodynamics》《Acta Mechanica Solida Sinica》《计算数学》更多>>
相关基金:国家自然科学基金湖南省自然科学基金贵州省科学技术基金更多>>
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Application of a p-version curved C^(1)finite element based on the nonlocal Kirchhoff plate theory to the vibration analysis of irregularly shaped nanoplates
《Science China(Technological Sciences)》2023年第10期3025-3047,共23页XIANG Wei NI Hua TIAN YiFeng WU Yang LIU Bo 
the National Major Science and Technology Projects of China(Grant No.J2019-VI-0001-0114);the National Natural Science Foundation of China(Grant Nos.11972004,11772031,11402015)。
Nanoplates have been widely used as elementary components for ultrasensitive and ultrafine resolution applications in the field of nano-electro-mechanical systems because of their potentially remarkable mechanical pro...
关键词:NANOPLATES nonlocal theory p-version finite element method C^(1)conformity irregular shape 
Extraction of Stress Intensity Factors by Using the P-Version Finite Element Method and Contour Integral Method
《Acta Mechanica Solida Sinica》2020年第6期836-850,共15页Jianming Zhang Jun Chen Liang Wu 
the firancinal support of the National Natural Science Foundation of China(Grant No:51769011)for this work,and the authors are also deeply grateful to the editors and revewerse for tbeir rigorous work and valuable comments.
The stress intensity factors(SIFs)for two-dimensional cracks are extracted using the p-version finite element method(P-FEM)and the contour integral method.Several numerical experiments,e.g.,crack initiating from the e...
关键词:Fracture mechanics Stress intensity factors P-version finite element method Contour integral method 
Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement被引量:1
《Computer Modeling in Engineering & Sciences》2020年第7期61-78,共18页Abdelkarim El Kahoui Mustapha Malek Nouh Izem MShadi Mohamed Mohammed Seaid 
We propose a high-order enriched partition of unity finite element method for linear and nonlinear time-dependent diffusion problems.The solution of this class of problems often exhibits non-smooth features such as st...
关键词:Partition of unity finite element method p-version refinement 
A p-version embedded model for simulation of concrete temperature fields with cooling pipes被引量:5
《Water Science and Engineering》2015年第3期248-256,共9页Sheng Qiang Zhi-qiang Xie Rui Zhong 
supported by the National Natural Science Foundation of China(Grant No.51109071)
Pipe cooling is an effective method of mass concrete temperature control, but its accurate and convenient numerical simulation is still a cumbersome problem. An improved embedded model, considering the water temperatu...
关键词:Concrete temperature field Cooling pipe Embedded model P-VERSION Numerical simulation 
The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension
《Advances in Applied Mathematics and Mechanics》2015年第2期145-157,共13页Jianwei Zhou 
This work was supported by National Natural Science Foun-dation of China(Grant No.11201212 and 11301252),CSC(No.201408380045);Promotive Research Fund for Excellent Young and Middle-Aged Scientists of Shandong Province(No.BS2012DX004)and AMEP of Linyi University.
In this paper,the Chebyshev-Galerkin spectral approximations are em-ployed to investigate Poisson equations and the fourth order equations in one dimen-sion.Meanwhile,p-version finite element methods with Chebyshev po...
关键词:Chebyshev-Galerkin spectral approximation Chebyshev polynomial a posteriori error indicator p-versionfinite element method 
P-version间断有限元方法求解奇异摄动问题
《云南师范大学学报(自然科学版)》2013年第1期39-45,共7页陶利娜 谢资清 
国家自然科学基金资助项目(11171104);贵州省科学技术基金资助项目(LKS[2010]05)
主要讨论用p-version间断有限元方法(DG)求解一维奇异摄动反应扩散问题。证明了数值解的存在唯一性,并给出了相应的数值算例.数值结果表明,与h-version DG方法相比较,为了达到同样数量级的误差,p-version DG方法的自由度大大下降,并且...
关键词:p-version间断有限元 奇异摄动反应扩散问题 指数收敛 
A P-VERSION TWO LEVEL SPLINE METHOD FOR SEMI-LINEAR ELLIPTIC EQUATIONS
《Journal of Computational Mathematics》2012年第5期544-554,共11页Xinping Shao Danfu Han Xianliang Hu 
A novel two level spline method is proposed for semi-linear elliptic equations, where the two level iteration is implemented between a pair of hierarchical spline spaces with different orders. The new two level method...
关键词:P-VERSION Two level method Spline methods SEMI-LINEAR Error estimation. 
THE HP-VERSION OF BEM-FAST CONVERGENCE,ADAPTIVITY AND EFFICIENT PRECONDITIONING
《Journal of Computational Mathematics》2009年第2期348-359,共12页Ernst P.Stephan 
In this survey paper we report on recent developments of the hp-version of the boundary element method (BEM). As model problems we consider weakly singular and hypersingular integral equations of the first kind on a...
关键词:hp-version of the boundary element method Adaptive refinement PRECONDITIONING Signorini contact 
Inequalities relating to L_p-version of Petty's conjectured projection inequality被引量:1
《Applied Mathematics and Mechanics(English Edition)》2007年第2期269-276,共8页王卫东 冷岗松 
Project supported by the National Natural Science Foundation of China(No.10671117);the Key Science Research Foundation of Education Department of Hubei Province of China(No.2003A005).
Petty's conjectured projection inequality is a famous open problem in the theory of convex bodies. In this paper, it is shown that an inequality relating to Lp-version of the Petty's conjectured projection inequalit...
关键词:Lp-version Petty projection inequality Petty's conjectured projectioninequality Lp-projection body REVERSE 
Analysis of Collision Protection for Ocean and Offshore Structures被引量:6
《China Ocean Engineering》2006年第3期361-372,共12页朱斌 陈云敏 梁以德 
An elasto-plastie impact model based on the p-version finite element method is presented for the collision protection of ocean and offshore structures. The impact force and responses of the impactor-absorber-structure...
关键词:ocean and offshore structure ELASTO-PLASTIC impact p-version finite element method ABSORBER 
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