| 两个三角形元形函数空间的能量正交化 |
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| 引用本文： | 刘鸣放,张建国.两个三角形元形函数空间的能量正交化[J].商丘师范学院学报,2008,24(12). |
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| 作者姓名： | 刘鸣放 张建国 |
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| 作者单位： | 1. 河南大学数学学院,河南开封475000;郑州大学数学系,河南郑州450052
2. 河南大学数学学院,河南开封,475000 |
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| 基金项目： | 国家自然科学基金资助项目
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河南大学自然科学基金项目
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| 摘 要： | 关于二阶椭圆边值问题,本文对三角形上二次Lagrange元和Carey元的形函数空间进行了能量正交化.能量正交的形函数空间使单元刚度矩阵为对角块:Ke=Krc Kh,其中Krc只和形函数空间的常应变有关,Kh由高阶模态决定.
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| 关 键 词： | 有限元 能量正交形函数空间 刚度矩阵 |
The orthogonalizations of two triangular elements'shape function spaces |
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| LIU Ming-fang,ZHANG Jian-guo.The orthogonalizations of two triangular elements'shape function spaces[J].Journal of Shangqiu Teachers College,2008,24(12). |
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| Authors: | LIU Ming-fang ZHANG Jian-guo |
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| Institution: | LIU Ming-fang1,2,ZHANG Jian-guo1 |
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| Abstract: | In this paper,we have changed the shape function spaces of the quadric Lagrange triangular element and Carey element into energy-orthogonal ones respectively,such that the stiffness matrices are block diagonal:Ke=Krc Kh,where Krc corresponds to constant strain of shape function spaces only,Kh is determinded by high modes.The two energy-orthogonal elements are proved to be convergent and equivalent to quadric Lagrange triangular element and Carey element. |
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| Keywords: | finite element method energy-orthogomal shape function space stiffness matrix |
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