云南高校图书馆联盟文献共享服务平台- LOCKING-FREE

LOCKING-FREE: 作品数：26被引量：48H指数：5; 导出分析报告; 相关作者：陈绍春任国彪肖留超赵中建胡俊更多>>; 相关机构：郑州大学中国科学院数学与系统科学研究院华北水利水电学院河南工业大学更多>>; 相关期刊：《Science China Mathematics》《工程数学学报》《数学的实践与认识》《Advances in Applied Mathematics and Mechanics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划河南省自然科学基金更多>>

THE NONCONFORMING CROUZEIX-RAVIART ELEMENT APPROXIMATION AND TWO-GRID DISCRETIZATIONS FOR THE ELASTICEIGENVALUE PROBLEM: 《Journal of Computational Mathematics》2023年第6期1041-1063,共23页Hai Bi Xuqing Zhang Yidu Yang; supported by the National Natural Science Foundation of China (Grant No.11761022)。; In this paper,we extend the work of Brenner and Sung[Math.Comp.59,321–338(1992)]and present a regularity estimate for the elastic equations in concave domains.Based on the regularity estimate we prove that the consta...; 关键词：Elastic eigenvalue problem Nonconforming Crouzeix-Raviart element Two-grid discretizations Error estimates LOCKING-FREE

A New Locking-Free Virtual Element Method for Linear Elasticity Problems: 《Annals of Applied Mathematics》2023年第3期352-384,共33页Jianguo Huang Sen Lin Yue Yu; supported by NSFC(Grant No.12071289);the Fundamental Research Funds for the Central Universities.; This paper devises a new lowest-order conforming virtual element method(VEM)for planar linear elasticity with the pure displacement/traction boundary condition.The main trick is to view a generic polygon K as a new on...; 关键词：Virtual element method linear elasticity LOCKING-FREE numerical test

STABILIZED NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY ON RECTANGULAR OR CUBIC MESHES: 《Journal of Computational Mathematics》2022年第6期865-881,共17页Bei Zhang Jikun Zhao Minghao Li Hongru Chen; This work is partially supported by National Natural Science Foundation of China(No.12001170);Key Scientific Research Projects in Colleges and Universities in Henan Province(No.21A110009);Research Foundation for Advanced Talents of Henan University of Technology(No.2018BS013).; Based on the primal mixed variational formulation,a stabilized nonconforming mixed finite element method is proposed for the linear elasticity on rectangular and cubic meshes.Two kinds of penalty terms are introduced ...; 关键词：Mixed finite element method Nonconforming rectangular or cubic elements ELASTICITY LOCKING-FREE Stabilization

A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity被引量：1: 《Advances in Applied Mathematics and Mechanics》2020年第1期278-300,共23页Bei Zhang Jikun Zhao; supported by National Natural Science Foundation of China(No.11701522);Key scientific research projects in colleges and universities in Henan Province(No.18A110030);Research Foundation for Advanced Talents of Henan University of Technology(No.2018BS013).; Based on the primal mixed variational formulation,a stabilized nonconforming mixed finite element method is proposed for the linear elasticity problem by adding the jump penalty term for the displacement.Here we use t...; 关键词：Mixed method nonconforming finite element ELASTICITY LOCKING-FREE STABILIZATION

A MIXED FINITE ELEMENT METHOD FOR MULTI-CAVITY COM PUTATION IN INCOMPRESSIBLE NONLINEAR ELASTICITY: 《Journal of Computational Mathematics》2019年第5期609-628,共20页Weijie Huang Zhiping Li; A mixed finite element method combining an iso-parametric Q 2-P 1 element and an isoparametric P^-Pi element is developed for the computation of multiple cavities in incompressible nonlinear elasticity. The method is ...; 关键词：Multiple CAVITATION computation INCOMPRESSIBLE nonlinear ELASTICITY Mixed finite element method LOCKING-FREE CONVERGENT

纯位移线弹性方程Locking-Free非协调三棱柱单元的构造分析: 《数学物理学报（A辑）》2019年第2期329-338,共10页孙艳萍陈绍春; 国家自然科学基金(11701522);河南省教育厅科学技术研究重点项目(17A110017)~~; 主要构造了三维空间中线弹性问题纯位移变分形式下无闭锁三棱柱单元.此单元是具有18个自由度的非协调元.单元的形函数满足位移的散度属于零次多项式空间,通过分析得到有限元解和真解误差的能量模具有一阶收敛性,L^2模具有二阶收敛性.; 关键词：平面弹性问题非协调单元三棱柱单元 Strong引理 Lamé常数

Multiresolution Finite Element Method Based on a New Locking-Free Rectangular Mindlin Plate Element被引量：1: 《World Journal of Mechanics》2016年第6期193-206,共14页Yiming Xia; A locking-free rectangular Mindlin plate element with a new multi-resolution analysis (MRA) is proposed and a new finite element method is hence presented. The MRA framework is formulated out of a mutually nesting dis...; 关键词：Rectangular Mindlin Plate Element Split Node Full Node Analysis Clarity Displacement Subspace Sequence Rational Multiresolution Analysis Resolution Level

AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM被引量：7: 《Journal of Computational Mathematics》2012年第2期124-138,共15页Dongyang Shi Chao Xu; Acknowledgments. This work was supported by National Natural Science Foundation of China （No. 10971203）, Specialized Research Fund for the Doctoral Program of Higher Education （No. 20094101110006）, the Educational Department Foundation of Henan Province of China （No.2009B110013）.; The main aim of this paper is to study the nonconforming linear triangular Crouzeix- Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotrop...; 关键词：Planar elasticity Nonconforming element LOCKING-FREE Anisotropic meshes.

一个平面弹性问题的虚位移原理和Locking-Free非协调有限元方法: 《数学的实践与认识》2012年第5期180-186,共7页赵中建谷留新陈绍春; 国家自然科学基金(10771198); 证明了平面弹性问题的虚位移原理,提出了一个新的非协调有限元解决纯位移边界条件下的Locking现象,该方法是Robust和Optimal,证明了能量模的收敛性,并且证明了误差估计结果与参数λ无关.; 关键词：非协调有限元 LOCKING-FREE 虚位移原理最优误差估计

线弹性问题的locking-free双参数元(英文)被引量：2: 《工程数学学报》2011年第1期118-128,共11页孙会霞肖留超; The Natural Science Foundation of the Education Department of Henan Province (2009A110003;2010A110005);the International Science and Technology Cooperation Project of Henan Province;the Foundation of Henan University of Technology; 文中运用双参数法提出了一个4参数的四边形非协调有限元,讨论了该单元对纯位移边界条件下的均匀介质线弹性方程的逼近问题.证明了在材料几乎不可压时单元对弹性问题的一致最优收敛性,数值试验验证了理论分析结果.并通过构造后处理算子,...; 关键词：四边形非协调元双参数无闭锁线弹性插值后处理

LOCKING-FREE