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	适宜PCG方法的水工结构有限元刚度矩阵形成、组集和存储的新方法
	包劲青 ; 杨强 ; 刘耀儒 ; BAO Jin-qing ; YANG Qiang ; LIU Yao-ru
	2010-06-10 ; 2010-06-10
关键词	水工结构 总体刚度矩阵 预处理共轭梯度法 hydraulic structure total stiffness matrix preconditioned conjugate gradient method TV314
其他题名	New Methods of Finite Element Stiffness Matrix′s Formation,Assemblage and Storage Suitable for Preconditioned Conjugate Gradient Method in Hydraulic Structures
中文摘要	针对水工结构有限元分析中刚度矩阵存储量大且易变动的特点,在分析目前常用的预处理共轭梯度法(PCG)算法特性基础上,提出适宜于PCG方法的水工结构有限元刚度矩阵形成、组集和存储的新方法.该新方法中,以"节点"为中心的刚度矩阵形成方法取代以"单元"为中心的刚度矩阵形成组集方法.针对预处理共轭梯度法中零元素不参与计算,提出只需存储非零元素及其在总体刚度矩阵的相应位置的记位存储策略.与传统方法相比,新方法在形成、组集时间和存储规模上均能更好地满足PCG算法的需求.; Based on the analysis of algorithmic characteristics of preconditioned conjugate gradient methods(PCG),new methods of stiffness matrix formation,assemblage and storage were proposed for finite element analysis in hydraulic structures,which the stiffness matrix was of great scale and change frequently.In new methods,stiffness matrix was formed by nodes instead of by elements in traditional methods.Strategy of position remembering of stiffness matrix was proposed,where only non-zero coefficients and their positions in the stiffness matrix are stored,because zero coefficients were not involved in calculation during iterations in PCG.Examples show that the new methods are more suitable for PCG than traditional methods,both on the aspect of time consumption for stiffness matrix formation,assemblage,and the storage scale.; 国家自然科学基金项目(90715041)
语种	中文 ; 中文
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/59962]
专题	清华大学
推荐引用方式 GB/T 7714	包劲青,杨强,刘耀儒,等. 适宜PCG方法的水工结构有限元刚度矩阵形成、组集和存储的新方法[J],2010, 2010.
APA	包劲青,杨强,刘耀儒,BAO Jin-qing,YANG Qiang,&LIU Yao-ru.(2010).适宜PCG方法的水工结构有限元刚度矩阵形成、组集和存储的新方法..
MLA	包劲青,et al."适宜PCG方法的水工结构有限元刚度矩阵形成、组集和存储的新方法".(2010).

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