检索结果-南通市图书馆

A LOW ORDER nonconforming ANISOTROPIC FINITE element APPROXIMATION TO PARABOLIC PROBLEM

在线全文

学校读者我要写书评

暂无评论

Journal of Systems Science & Complexity 2009年第3期22卷 518-532页

作者： Dongyang SHI Wei GONG Department of Mathematics Zhengzhou University Zhengzhou 450052 China. Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190 China.

A low order nonconforming finite element is applied to the parabolic problem with *** the semidiscrete and fully discrete forms are *** superclose properties andsuperconvergence are obtained through some novel approac... 详细信息

关键词： Anisotropic meshes nonconforming element parabolic problem superclose superconveygence.

NON C^0 nonconforming elementS FOR ELLIPTIC FOURTH ORDER SINGULAR PERTURBATION PROBLEM

在线全文

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2005年第2期23卷 185-198页

作者： Shao-chunChen Yong-chengZhao Dong-yangShi DepartmentofMathematics ZhengzhouUniversityZhengzhou450052China

In this paper we give a convergence theorem for non C^0 nonconforming finite element to solve the elliptic fourth order singular perturbation problem. Two such kind of elements, a nine parameter triangular element and a twelve parameter rectangular element both with double set parameters, are presented. The convergence and numerical results of the two elements are given.

关键词： Double set parameter method nonconforming element Singular perturbation problem

AN ANISOTROPIC LOCKING-FREE nonconforming TRIANGULAR FINITE element METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2012年第2期30卷 124-138页

作者： Dongyang Shi Chao Xu Department of Mathematics Zhengzhou UniversityZhengzhou 450052China Department of Mathematics and Physics Luoyang Institute of Science and TechnologyLuoyang 471023China

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 anisotropic general triangular meshes satisfying the maximal angle condition and coordinate system condition. The optimal order error estimates of energy norm and L2-norm are obtained, which are independent of lame parameter λ. Numerical results are given to demonstrate the validity of our theoretical *** subject classification： 65N30, 65N15.

关键词： Planar elasticity nonconforming element Locking-free Anisotropic meshes.

INTERIOR ERROR ESTIMATES FOR nonconformingFINITE element METHODS OF THE STOKES EQUATIONS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 1999年第5期17卷 475-494页

作者： Xiao-bo Liu(Department of Mathematics and Computer Science Clarkson University Box 5815, Potsdam,NY 13699-5815, USA) Clarkson University 美国

Interior error estimates are derived for nonconforming stable mixed finite element discretizations of the stationary Stokes equations. As an application, interiorconvergences of difference quotients of the finite element solution are obtained forthe derivatives of the exact solution when the mesh satisfies some translation invariant condition. For the linear element, it is proved that the average of thegradients of the finite element solution at the midpoint of two interior adjacenttriangles approximates the gradient of the exact solution quadratically.

关键词： Interior error estimates nonconforming element Stokes equations.

THREE DIMENSION QUASI-WILSON element FOR FLAT HEXAHEDRON MESHES

在线全文

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2004年第2期22卷 178-187页

作者： Shao-chunChen Dong-yangShi Guo-biaoRen DepartmentofMathematics ZhengzhouUniversityZhengzhou450002China

The well known Wilson's brick is only convergent for regular cuboid meshes. In this paper a quasi-Wilson element of three dimension is presented which is convergent for any hexahedron meshes. Meanwhile the element is ... 详细信息

关键词： Anisotropic convergence nonconforming element Three dimension Quasi-Wilson element

ACCURACY ANALYSIS FOR QUASI-WILSON element

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2000年第1期20卷 44-48页

作者：陈绍春石东洋 Department of Mathematics Zhengzhou University Zhengzhou 450052 China

In this paper, it is shown that Quasi-Wilson clement possesses a very special property i.e. the consistency error is of order O(h(2)), one order higher than that of Wilson element.

关键词： nonconforming element qausi-Wilson element consistency error

在线全文

学校读者我要写书评

暂无评论

局部加密的非标准混杂五点矩形元分析

高等学校计算数学学报 2004年第3期26卷 251-256页

作者：孙洁浙江财经学院信息学院杭州 310012

1引言当用有限元方法求解角点奇异等问题时,通常采用局部加密网格技巧,如图1.于是产生了非标准的有限元单元剖分. 对于这类非标准的有限元单元剖分,很难构造协调的有限元空间.文[1]构造了5个

关键词： nonconforming element F1-patch test hybrid 5-node finite elemcnt. AMS(2000) subject classifications 65N30.