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边界元技术中的全特解场方法
引用本文:王有成,刘钊,吴约.边界元技术中的全特解场方法[J].力学学报,1995,27(4):451-458.
作者姓名:王有成  刘钊  吴约
作者单位:合肥工业大学土木工程系
摘    要:采用相应基本解来构造全特解场,据而确定各该问题边界元方程系数矩阵的全部元素。解算中不涉及具体插值,不用数值积分,避免了奇异积分的数值处理,而任意点的物理量计算(如应力、声强等等)不依赖于待解的边界未知量,因而算效奇高,精度特好。适于求解各类数学物理和工程技术问题。

关 键 词:边界元  全特解场  数学物理方法

ALL PARIICULAR SOLUTION METHOD IN BOUNDARY ELEMENT TECHNIQUES
Wan Youcheng, Liu Zhao.ALL PARIICULAR SOLUTION METHOD IN BOUNDARY ELEMENT TECHNIQUES[J].chinese journal of theoretical and applied mechanics,1995,27(4):451-458.
Authors:Wan Youcheng  Liu Zhao
Abstract:In this paper,the all particular solution field is formed by utilization of corre-spondent fundamental solutions,so that all elements in the coefficient matrix of boundaryelement equations for problems to be solved will be determined.In the process of solution,interpolation and numerical integration are not needed and numerical treatment for singu-lar integration is avoided,and the calculation of physical characteristics(e.g.stress,soundintensity,nd etc.)of any point does not depend on boundary unknowns to be solved,there-fore,the efficiency of computation is extraordinariiy high and the accuracy is excellent.Themethod presented may be applied to the solution of many kinds of mathematical problemsand technological problems.
Keywords:boundary element  all particular solution
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