| 应用杂交变分原理构造过渡单元刚度矩阵 |
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| 引用本文： | 文世鹏.应用杂交变分原理构造过渡单元刚度矩阵[J].中国石油大学学报(自然科学版),1987(3). |
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| 作者姓名： | 文世鹏 |
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| 作者单位： | 华东石油学院数学教研室 |
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| 摘 要： | 在有限元方法中,基于修改的变分原理的杂交模型比协调模型具有更大的灵活性,本文将这种杂交模型用于构造过渡单元的刚度矩阵。由于放松了连续性要求,在单元边界和单元内部可以分别构造有限元子空间。这种杂交过渡单元能够根据需要和其它类型的单元相配合。文中以二阶泊松方程边值问题为例,给出了杂交过渡单元刚度矩阵的计算公式和不同单元相配合的示例。
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| 关 键 词： | 杂交 变分法 刚度矩阵 有限元法 |
STIFFNESS MATRIX FOR TRANSFER ELEMENT BY HYBRID VARIATIONAL PRINCIPLE |
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| Wen Skipeng.STIFFNESS MATRIX FOR TRANSFER ELEMENT BY HYBRID VARIATIONAL PRINCIPLE[J].Journal of China University of Petroleum,1987(3). |
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| Authors: | Wen Skipeng |
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| Institution: | Wen Skipeng |
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| Abstract: | A stiff matrix for transfer element yras constructed by use of the- hybrid f inite element method based on the modified variational principle.The continuity" requirements were relaxed and the finite element subspacecan-be sepeiately constructed on the boundary and the inside of element. The hybrid transfer-element may be a match for other kinds of elements. In consideration of the boundary value, for second-order poisson equation, the computation formulas for stiffness matrix are given and the examples matched elements are presented. |
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| Keywords: | Stiffness Variational method Finite element methods Hybridization |
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