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十二参
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  12-parameter
     A NEW 12-PARAMETER RECTANGULAR ELEMENT
     一个新十二参矩形元
短句来源
     Furthermore ,we dispersed the 13-parameter trapezoid plate element to 12-parametertrapezoid plate elements with double set parameter method and proved that those12-parameter trapezoid plate element pass through the strong F桬桵棗Test and areconvergent for the fourth-order plate problems. We can get the error estimates as thefollowing:
     在此基础上,本文利用双参数法将十三参梯形板元离散为十二参梯形板元,并证明了该十二参梯形板元通过强F—E—M检验,因而对四阶问题收敛,其误差估计式为:
短句来源
     The superfluous zero energy element modes of some elements such as 8-node hybrid brick elements associated with the Hellinger-Reissner prin- ciple 〔2,3〕, 9-parameter triangular and 12-parameter rectangular bending QCE 〔4〕 are discussed. Also, a method to delete the superfluous zero energy element modes is given.
     文中讨论了基于Hellinger-Reissner变分原理八节点正六面体杂交元〔2〕、九参三角形和十二参矩形薄板弯曲拟协调元〔3〕的单刚零能模式,并提出了避免单元出现多余零能模式的方法。
短句来源
     This paper presents a new 12-parameter rectangular plate element by using finite ele-ment method with double sets of parameters. It is proved that this element passes through F-E-M-Test and generalized patch Test and it is convergent for general fourth-order plate problems. Someother forms and energy error estimation and L ̄2-error estimation are given.
     本文利用“双参数有限元方法”,构造了一个新的十二参矩形板元,证明它通过F-E-M-Test和广义分片检查,因而对一般四阶板问题均收敛,同时还给出了它的一些变形及相应能量误差和L ̄2—误差估计。
短句来源
  “十二参”译为未确定词的双语例句
     In this paper, a non C~0 nonconforming plate element with eight degrees of freedom and twelve parameters is constructed by the Double Set Parameter method, then we analyze its anisotropic convergence and superconvergence.
     本文应用双参数法构造了一个八自由度十二参非C~0非协调板元,分析了其各向异性收敛性与超收敛性,证明了其对四阶椭圆奇异摄动问题的各向异性收敛性,从而显示了双参数有限元新的优越性.
短句来源
     THE TWELVE-PARAMETER TRIANGULAR PLATE ELEMENTS
     十二参三角形板元
短句来源
     In this paper the mathematical proof of convergence of 12—parameter rectangular generalized conforming element is given,and the relation beween 12—parameter rectangular gener- alized conforming element and well known ACM element is presented.
     本文给出了十二参矩形广义协调元的收敛性的数学证明,同时分析了十二参矩形广义协调元与著名的ACM元的关系。
短句来源
     AN ANALYSIS OF 12—PARAMETER RECTANGVULAR GENERALIZED CONFORMING ELEMENT
     十二参矩形广义协调元分析
短句来源
     The Generalized Patch Test of Multiple Sets of Functions and the 12-Parameter Quasi-Conforming Element
     多套函数的广义分片检验与十二参拟协调元
短句来源
更多       
  相似匹配句对
     THE TWELVE-PARAMETER TRIANGULAR PLATE ELEMENTS
     十二三角形板元
短句来源
     THE CONSTRUCTION OF 12 PARAMETER RECTANGULAR PLATE ELEMENTS
     十二矩形板元的构造
短句来源
     OCEAN'S TWELVE
     十二罗汉
短句来源
     Refs 5.
     5
短句来源
     [Ch,6 ref.]
     6
短句来源
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  12-parameter
A set of 12-parameter rectangular plate element with high accuracy
      
A new 12-parameter rectangular plate element is presented by use of the double set parameter method.
      
In this paper, we characterize theA-acceptable approximations of orderp ≧2m-4 and apply the result to 12-parameter families of implicit Runge-Kutta methods.
      
Finally we use these results to characterise the algebraically stable methods out of a 12-parameter family of implicit Runge-Kutta methods of order 2m-4.
      
The comparison between the numerical results obtained with 54 and 12-parameter edge element method shows that the present approach is more accurate and efficient.
      
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Let L2,2() be the space of all vector-valued functions V=(vσ) with components v° L2() for σ ≤2. This is a Hilbert space with scalar product Let t be a subdivision of by triangles K satisfying usual conditions, and where Di= and el denotes the unit vectors (δ1l, δ21). We consider the problem where E0 =H2() , J(w) =1/2a(w, w) -f(w), a(u , v) is a symmetric positive bilinear form on L2,2() and f(w) is a linear form on L2,2(). Let w0 be the exact solution of (1) and wl be the solution of the problem respectively,...

Let L2,2() be the space of all vector-valued functions V=(vσ) with components v° L2() for σ ≤2. This is a Hilbert space with scalar product Let t be a subdivision of by triangles K satisfying usual conditions, and where Di= and el denotes the unit vectors (δ1l, δ21). We consider the problem where E0 =H2() , J(w) =1/2a(w, w) -f(w), a(u , v) is a symmetric positive bilinear form on L2,2() and f(w) is a linear form on L2,2(). Let w0 be the exact solution of (1) and wl be the solution of the problem respectively, where Ei s a subspace of L22(). It is easy proved where w0,I is the shortest distance from w0 to Ei. The condition lim Tl, =0 is called the generalized patch test of multiple sets of functions. In this paper it is proved that the 12-parameter quasi-conforming element passes this test.

本文给出多套函数空间的广义分片检验并证明唐立民等人提出的十二参拟协调元通过这个检验。

In this paper, a method about a priori determination of the superfluous zero energy element modes and its sufficient condition is presented by means of quasi-conforming element technique 〔1〕. The rank of element stiffness matrix is determined based on the given field variable parameters before the matrix is developed. The superfluous zero energy element modes of some elements such as 8-node hybrid brick elements associated with the Hellinger-Reissner prin- ciple 〔2,3〕, 9-parameter triangular and 12-parameter...

In this paper, a method about a priori determination of the superfluous zero energy element modes and its sufficient condition is presented by means of quasi-conforming element technique 〔1〕. The rank of element stiffness matrix is determined based on the given field variable parameters before the matrix is developed. The superfluous zero energy element modes of some elements such as 8-node hybrid brick elements associated with the Hellinger-Reissner prin- ciple 〔2,3〕, 9-parameter triangular and 12-parameter rectangular bending QCE 〔4〕 are discussed. Also, a method to delete the superfluous zero energy element modes is given.

本文应用拟协调元〔1〕思想,提出一个关于单元多余零能模式“前判断”的方法。根据单元几组已给定的场变量,在推导单刚之前,对单元刚度矩阵的秩进行判断。文中讨论了基于Hellinger-Reissner变分原理八节点正六面体杂交元〔2〕、九参三角形和十二参矩形薄板弯曲拟协调元〔3〕的单刚零能模式,并提出了避免单元出现多余零能模式的方法。

In this paper the mathematical proof of convergence of 12—parameter rectangular generalized conforming element is given,and the relation beween 12—parameter rectangular gener- alized conforming element and well known ACM element is presented.

本文给出了十二参矩形广义协调元的收敛性的数学证明,同时分析了十二参矩形广义协调元与著名的ACM元的关系。

 
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