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有限元离散化变分原理及精化元法 被引量：2

Variational principles for finite element methods and refined element methods
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摘要 对线性和几何非线性有限元离散体系，建立了放松单元间协调约束的不协调元和杂交变分原理．由此建立了精化不协调元和精化杂交元方法，保证了收敛、无病态和高精度． Variational principles with relaxed interelement continuity requirement are developedfor linear and nonlinear analysis, and refined nonconforming element and refined hybrid elementmethods which can ensure convergence and improve accuracy and avoid ill-conditions are given.
作者 陈万吉
机构地区 大连理工大学工程力学系
出处 《大连理工大学学报》 CAS CSCD 北大核心 1999年第2期150-157,共8页 Journal of Dalian University of Technology
基金 国家自然科学基金!19372012
关键词 有限元 变分原理 精化杂交元 离散化体系 精化元 finite element method variational principles convergence(mathematics) /refinednonconforming clement refined hybrid element geometrically nonlinear analysis
分类号 O242.21 [理学—计算数学]
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参考文献26

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共引文献68

同被引文献36

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大连理工大学学报
1999年 第2期

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