Generalized nodes and high‐performance elements
Generalized nodes and high‐performance elements
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DOI：
10.1002/nme.1436
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发表时间：
2005-12
影响因子：
2.9
通讯作者：
R. Tian;G. Yagawa
中科院分区：
文献类型：
--
作者：
R. Tian;G. Yagawa
本文利用基于单位划分的有限元近似，研究了仅角节点的鲁棒高精度有限元的发展。构造基于单位划分的近似是通过物理上定义的位移局部函数来完成的。建立了一个四节点二次四面体单元和一个三节点二次三角形单元。特征值分析表明，基于单位划分的新单元有限元近似中的线性依赖是可以消除的。数值计算表明，新单元具有鲁棒性，对网格畸变不敏感，并提供二次精度，同时保持网格生成极其简单。版权所有©2005 John Wiley & Sons， Ltd
The paper concerns the development of robust and high accuracy finite elements with only corner nodes using a partition‐of‐unity‐based finite‐element approximation. Construction of the partition‐of‐unity‐based approximation is accomplished by a physically defined local function of displacements. A 4‐node quadratic tetrahedral element and a 3‐node quadratic triangular element are developed. Eigenvalue analysis shows that linear dependencies in the partition‐of‐unity‐based finite‐element approximation constructed for the new elements are eliminable. Numerical calculations demonstrate that the new elements are robust, insensitive to mesh distortion, and offer quadratic accuracy, while also keeping mesh generation extremely simple. Copyright © 2005 John Wiley & Sons, Ltd.