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三维Wilson元与特征值下界 被引量:2

The Three-dimensional Wilson Element and the Lower Bounds of Eigenvalues
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摘要 应用三维Wilson元及有限元二网格离散方案,在三种不同区域计算Poisson方程的近似特征值,计算结果表明:三维Wilson元及有限元二网格离散方案所得的特征值均下逼近准确特征值。 In this paper, we apply the three - dimensional non - conforming Wilson finite element and two - grid discretization schemes to compute the approximate eigenvalues of three -dimensional Poisson equation in three different domains. The numerical experiments show that the three - dimensional Wilson element approximates eigenvalues from below and two- grid discretization schemes approximates exact eigenvalues from below.
作者 陈震 林府标
出处 《南昌大学学报(理科版)》 CAS 北大核心 2010年第1期19-23,共5页 Journal of Nanchang University(Natural Science)
基金 贵州省科学技术基金项目(黔科合J字LKS[2009]03号)
关键词 三维Wilson元 特征值下界 二网格离散方案 three - dimensional Wilson element lower bounds of eigenvalues two - grid discretization schemes
作者简介 陈震(1979-),男,博士生,讲师.E-mail:zchen@gznu.edu.cn
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  • 1YANG YiDu 1 ,ZHANG ZhiMin 2 & LIN FuBiao 11 School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China,2 Department of Mathematics,Wayne State University,Detroit,MI 48202,USA.Eigenvalue approximation from below using non-conforming finite elements[J].Science China Mathematics,2010,53(1):137-150. 被引量:15
  • 2Lie-hengWang,HeQi.A LOCKING-FREE SCHEME OF NONCONFORMING RECTANGULAR FINITE ELEMENT FOR THE PLANAR ELASTICITY[J].Journal of Computational Mathematics,2004,22(5):641-650. 被引量:9
  • 3HeQi Lie-hengWang Wei-yingZheng.ON LOCKING-FREE FINITE ELEMENT SCHEMES FOR THREE-DIMENSIONAL ELASTICITY[J].Journal of Computational Mathematics,2005,23(1):101-112. 被引量:10
  • 4CHEUNG Y K, CHEN W J. Hybrid element method for incompressible and nearly incompressible materials[J] . InternationalJournal of Solids and Structures, 1989, 25(5) : 483-495.
  • 5MORLEY M. A mixed family of elements for linear elasticity[J]. Numerische Mathematik, 1989(55) :633-666.
  • 6CHAMA A, REDDY B D. New stable mixed finite element approximations for problems in linear elasticity[J] . ComputerMethods in Applied Mechanics and Engineering, 2013, 256: 211-223.
  • 7FALK R S. Nonconforming finite element methods for the equations of linear elasticity[J] . Mathematics of Computation,1991, 57: 529- 556.
  • 8BRENNER S C. A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity [J].Mathematics of Computation, 1994, 63: 435-440.
  • 9SCOTT L R, VOGELIUS M. Conforming finite element methods for incompressible and nearly incompressible continua[C]//Large Scale Computations in Fluid Mechanics. Providence RI. American Mathematical Socity, USA : 1985, 22:221-244.
  • 10STENBERG R, SURI M. Mixed h-p finite element methods for problems in elasticity and Stokes flow[J]. NumerischeMathematik, 1996, 72: 367-390.

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