The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations 被引量：1

The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations

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摘要 In this paper,the 16-parameter nonconforming tetrahedral element which has an energy-orthogonal shape function space is presented for the discretization of fourth order elliptic partial differential operators in three spatial dimensions.The newly constructed element is proved to be convergent for a model biharmonic equation.

作者 LIU Ming-fang CAO Ji-wei CHEN Shao-chun

机构地区 College of Mathematics and Information Sciences Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期388-393,共6页 数学季刊（英文版）

基金 Supported by NSF of China(10771198,10901047)

关键词 nonconforming finite element tree-dimension fourth order elliptic equation nonconforming 有限元素；树尺寸；第四份订单椭圆形的方程；

分类号 O241.21 [理学—计算数学]

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1石钟慈.关于Morley元的误差估计[J].计算数学,1990,12(2):113-118. 被引量：44

共引文献43

1Zhong-ci SHI~1 Xue-jun XU~(1+) Yun-qing HUANG~2 ~1 LSEC,Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China,~2 Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Institute for Computational and Applied Mathematics,Xiangtan University,Xiangtan 411105,China.Economical cascadic multigrid method (ECMG)[J].Science China Mathematics,2007,50(12):1765-1780. 被引量：14
2HUANG Jianguo, SHI Zhongci & XU Yifeng Department of Mathematics, Shanghai Jiao long University, Shanghai 200240, China,Division of Computational Science, E-lnstitute of Shanghai Universities, Shanghai Normal University, Shanghai 200234, China,Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China,Department of Mathematics, Chinese University of Hong Kong, Shatin, N. T., Hong Kong, China.Finite element analysis for general elastic multi-structures[J].Science China Mathematics,2006,49(1):109-129. 被引量：1
3LAI JunJiang1,HUANG JianGuo2,3,& SHI ZhongCi4 1Department of Mathematics,Minjiang University,Fuzhou 350108,China,2Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,3Division of Computational Science,E-Institute of Shanghai Universities,Shanghai Normal University,Shanghai 200234,China,4Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China.A lumped mass finite element method for vibration analysis of elastic plate-plate structures[J].Science China Mathematics,2010,53(6):1453-1474. 被引量：1
4YANG YiDu,CHEN Zhen.The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators[J].Science China Mathematics,2008,51(7):1232-1242. 被引量：9
5冷向.关于 Petersson 非协调矩形板元的误差分析[J].安徽建筑工业学院学报（自然科学版）,1998,0(1):3-16. 被引量：1
6徐林荣.关于MZ1元、MZ2元和MB1元的误差估计[J].高校应用数学学报（A辑）,1993,8(3):262-272.
7冷向.非协调、非常规Kirchhoff板元的统一分析——抽象误差分析的数学理论[J].安徽建筑工业学院学报（自然科学版）,2000,8(1):1-15.
8吴端恭,陈绍春.右端项f∈H^(-1)情况下十二参矩形板元的误差估计式[J].工程数学学报,1998,15(3):74-78.
9SHIDongyang,CHENShaochun,IchiroHagiwara.HIGHLY NONCONFORMING FINITE ELEMENT APPROXIMATIONS FOR A FOURTH ORDER VARIATIONAL INEQUALITY WITH CURVATURE OBSTACLE[J].Journal of Systems Science & Complexity,2005,18(1):136-142. 被引量：1
10Shao-chunChen Yong-chengZhao Dong-yangShi.NON C^0 NONCONFORMING ELEMENTS FOR ELLIPTIC FOURTH ORDER SINGULAR PERTURBATION PROBLEM[J].Journal of Computational Mathematics,2005,23(2):185-198. 被引量：5

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1Ming Wang,Zhong-Ci Shi,Jinchao Xu.SOME n-RECTANGLE NONCONFORMING ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS[J].Journal of Computational Mathematics,2007,25(4):408-420. 被引量：15
2石钟慈.关于Morley元的误差估计[J].计算数学,1990,12(2):113-118. 被引量：44

引证文献1

1刘鸣放,曹济伟,陈绍春.四阶椭圆方程的三棱柱元分析[J].河南大学学报（自然科学版）,2014,44(6):635-639.

1李萍,张建平,等.The formation mechanism and the binding energy the body—centred regular tetrahedral structure of He5^＋[J].Chinese Physics B,2002,11(10):1018-1021. 被引量：2
2林宗池.SINGULAR PERTURBATION OF THE FOURTH ORDER ELLIPTIC EQUATION WHEN THE LIMIT EQUATION IS ELLIPTIC-PARABOLIC[J].Applied Mathematics and Mechanics(English Edition),1991,12(1):77-84.
3Ya. T.Mehraliyev.On Solvability of an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation[J].Journal of Mathematics and System Science,2013,3(11):560-566.
4CHEN Yong-shou, GAO Zao-chun.Tetrahedral Symmetry in Superheavy Nuclei[J].Annual Report of China Institute of Atomic Energy,2007(1):81-83.
5Guo-liang Xu,Chuan I Chu,Wei-min Xue.TETRAHEDRAL C^m INTERPOLATION BY RATIONAL FUNCTIONS[J].Journal of Computational Mathematics,2001,19(2):131-138.
6Jianguo Xin,Nailong Guo,Wei Cai.ON THE CONSTRUCTION OF WELL-CONDITIONED HIERARCHICAL BASES FOR TETRAHEDRAL H（curl）-CONFORMING NEDELEC ELEMENT[J].Journal of Computational Mathematics,2011,29(5):526-542. 被引量：1
7Ming Wang,Zhong-Ci Shi,Jinchao Xu.SOME n-RECTANGLE NONCONFORMING ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS[J].Journal of Computational Mathematics,2007,25(4):408-420. 被引量：15
8潘付兴,李磊娇,孙忠明.[Au(η^2-Sn2Sb2)2]^3-： a Mixed Group 14/15 Tetrahedral Dimer Bridged by Au[J].Chinese Journal of Structural Chemistry,2016,35(7):1099-1106.
9JanBrandts,MichalKǐízek.SUPERCONVERGENCE OF TETRAHEDRAL QUADRATIC FINITE ELEMENTS[J].Journal of Computational Mathematics,2005,23(1):27-36. 被引量：7
10许丽萍,陈海波.MULTIPLICITY RESULTS FOR FOURTH ORDER ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE[J].Acta Mathematica Scientia,2015,35(5):1067-1076. 被引量：3

Chinese Quarterly Journal of Mathematics

2011年第3期

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The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations 被引量：1

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