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建立p型有限元刚度矩阵的快速方法及分析
引用本文:王周宏,胡于进. 建立p型有限元刚度矩阵的快速方法及分析[J]. 华中科技大学学报(自然科学版), 1999, 27(2): 1
作者姓名:王周宏  胡于进
作者单位:华中理工大学机械科学与工程学院
摘    要:针对形成p型有限元刚度矩阵的快速数值积分法——向量积分法,分析了其数值稳定性,提出了另一种更为简便、数值稳定并易于并行实现的向量化方法.

关 键 词:结构优化设计;p型有限元刚度矩阵;稳定性
修稿时间:1998-10-07

An Analysis and Improvement of the Vector Quadrature Method for p Version Finite Element Matrices
Wang Zhouhong Hu Yujin. An Analysis and Improvement of the Vector Quadrature Method for p Version Finite Element Matrices[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1999, 27(2): 1
Authors:Wang Zhouhong Hu Yujin
Affiliation:Wang Zhouhong Hu Yujin
Abstract:A vector quadrature method proposed by H.E.Hinnant is discussed. The numerical precision and stability of this method are studied. Two theorems are given and proved. A more efficient and numerically stable technique to form the vector integrals is presented and is compared with the block Gaussian quadrature method in computational complexity.
Keywords:structural optimization  p version finite element matrices  stability  
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