薄体位势边界条件识别反问题正则化边界元方法(英文)  

Inverse identification of boundary conditions for potential problems of thin body using BEM

作　　者：周焕林[1] 杨智勇[2] 牛忠荣[1] 程长征[1] 王秀喜[3] 

机构地区：[1]合肥工业大学工程力学系,安徽合肥230009 [2]铜陵学院机械工程系,安徽铜陵244000 [3]中国科学技术大学近代力学系,安徽合肥230026

出　　处：《中国科学技术大学学报》2008年第4期356-363,共8页JUSTC

基　　金：the National Natural Science Foundation of China(No.10272039);the Provincial Key Project of theNatural Science Research for College and Universities of Anhui Province(No.KJ2008A041);the Doctoral Programs Foundation of Ministry of Education of China(No.20050359009)

摘　　要：针对二维薄体位势柯西边界条件识别反问题,提出了解析积分和奇异值分解联合正则化算法.解析积分用于薄体位势问题边界元法中几乎奇异积分的正则化.奇异值分解技术用来求解系统方程.数值算例研究了狭长比为1E-8和1E-7的薄体问题,计算结果表明该算法的有效性和精确性.The analytical integral formulas and singular value decomposition were employed to treat the 2D potential inverse boundary condition determination problems of thin body. The Cauchy potential inverse problems were considered. The nearly singular integrals in the boundary element method （BEM） of thin body problems were dealt with by the analytical integral formulas. The system equation was solved by singular value decomposition technique. Thin body numerical examples with the thickness-to-length ratio down to 1E-8 or 1E-7 demonstrate the effectiveness and accuracy of the present algorithm.

关 键 词：反位势问题 边界元法 几乎奇异积分 解析积分 奇异值分解 

分 类 号：O343.1[理学—固体力学]