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边界元法中边界变量的确定与误差直观度量
引用本文:姚振汉,钟晓光. 边界元法中边界变量的确定与误差直观度量[J]. 华中科技大学学报(自然科学版), 1989, 0(6)
作者姓名:姚振汉  钟晓光
作者单位:清华大学(姚振汉),华中理工大学机械工程二系(钟晓光)
基金项目:国家自然科学基金资助项目
摘    要:本文提出了一种适于弹性力学平面问题的,用于线性单元的确定边界变量的新算法.基于这种算法,提出了一种边界元法误差直观度量的方案,给出了一些数值算例.

关 键 词:边界元  边界变量  误差  算法  直观度量

Determination of Boundary Variables and Objective Measurement of the Accuracy in BEM
Yao Zhenhan Zhang Xiaoguang. Determination of Boundary Variables and Objective Measurement of the Accuracy in BEM[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1989, 0(6)
Authors:Yao Zhenhan Zhang Xiaoguang
Affiliation:Yao Zhenhan Zhang Xiaoguang
Abstract:A useful and accurate new algorithm suitable for the determination of boundary variables of the lioear element in the plane elasticity problem is presented. Based on the difference between the boundary variables determined by the algorithm presented and the correspondingly given boundary values, an bjective measurement of the accuracy ia BEM is suggested. This objective measurement can be used to estimate the error of a BEM solution when the problem is too complicated to be solved analytically and no analytical solution is available for comparison. Several numerical examples are given.
Keywords:Boundary element method  Boundary variables  Accuracy  Algorithm  Objective measurement  
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