## 留言板

 引用本文: 刘勇辉, 陆鑫森. 边界元法中奇异积分计算的极坐标变换法[J]. 应用数学和力学, 1988, 9(10): 899-907.
Liu Yong-hui, Lu Xin-sen. Polar Coordinate Transformation Approach for Treatment of Singular Integrals in Boundary Element Methods[J]. Applied Mathematics and Mechanics, 1988, 9(10): 899-907.
 Citation: Liu Yong-hui, Lu Xin-sen. Polar Coordinate Transformation Approach for Treatment of Singular Integrals in Boundary Element Methods[J]. Applied Mathematics and Mechanics, 1988, 9(10): 899-907.

## Polar Coordinate Transformation Approach for Treatment of Singular Integrals in Boundary Element Methods

• 摘要: 在边界元法中,奇异积分的处理是一个极为引人注目的问题.本文提出了一种在单元状态作极坐标变换的新的处理方法,它能显式地消除奇异积分的奇异性,使之成为常规积分,因而易于在边界元法中使用高次单元.计算实例表明,本文所提出的方法是有效的、方便的.
•  [1] Cruse, T.A., An improved boundary-integral equation method for three-dimensional elastic stress analysis, Computer and Structures, 4(1974), 741-754. [2] Jeng, G. and A. Wexler, Isoparametric, finite element, variational solution of integral equations for three-dimensional fields, Int. J. Num. Meth. Eng., 11(1977) 1455-1471. [3] Webster, W.C., The flow about arbitrary, three-dimensional smooth bodies, J. of Ship Research, 19, 4(1975), 206-218. [4] Oken, E.E., The potential integral for a linear distribution over a triangular domain, Int. J. Num. Meth. Eng., 18(1982), 1821-1828. [5] Lachat, J.C. and J.O. Waston, Effective numerical treatment of boundary integral equations: a formulation for three dimensional elastostatics, Int. J. Num. Meth. Eng., 10(1976), 999-1005. [6] 藏跃龙、嵇醒,三维弹性力学边界元程序的计算精度,《第一届工程中的边界元会议文集》,(1985.12), 149-155. [7] Telles, J.C.F., L.C. Wrobed and C.A. Brebbia, Boundary Element Technology Theory and Application in Engineering, Springer-Verlag(1984), 448-454. [8] Brebbia, C.A. and S. Walker, Boundary Element Techniques in Engineering, Butterworth Ltd.,(1980).中译本:张治强译,《边界元法的工程应用》,陕西科技出版社(1986) [9] Bath, K.J. and E.L. Wilson, Numerical Methods in Finite Element Analysis, Prentice-Hall, Inc.(1976), 120-123. [10] Smith, A.M.O. and J. Hess, Calculation of non-lifting potential flow about three-dimensional, bodies, Douglas Aircraft Company, Report E.S. 40622(1962). [11] Kaleff, P., A hydroelastic approach to ship vibration problems, J. of Ship Research, 27, 2(1983), 103-112.
##### 计量
• 文章访问数:  1781
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##### 出版历程
• 收稿日期:  1987-09-07
• 刊出日期:  1988-10-15

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