平面位势问题的简单解边界元法  

A simple boundary element solution for 2D potential problems

作　　者：许文政 张耀明 XU Wen zheng;ZHANG Yao ming(School of Mathematics and Statistics,Shandong University of Technology,Zibo 255049,China)

机构地区：[1]山东理工大学数学与统计学院,山东淄博255049

出　　处：《山东理工大学学报（自然科学版）》2018年第5期27-31,共5页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：边界元分析中,准确估计奇异积分是个既计算困难又非常重要的问题,许多专家学者正在努力研究探求解决这个问题的方法.提出一种计算强奇异积分的新方法——简单解法.该方法能够计算边界任何通量,具有理论简单、编程容易、计算精度高等优点.3个数值算例验证了方法的有效性.In the boundary element analysis,accurate estimation of singular integrals is a very important but difficult question.Although many effective ways have been proposed to deal with this problem,it appears to be a permanent research subject.In this study,a simple solution method is presented to calculate strong singular integrals.The method can compute any boundary fluxes besides the normal flux,and also has the advantages of simple theory,easy programming and high efficiency.Some numerical examples are presented to validate the effectiveness of the method.

关 键 词：边界元法 奇异积分 简单解法 

分 类 号：O342[理学—固体力学]