A NUMERICAL QUADRATURE FOR NEARLY SINGULAR BOUNDARY-ELEMENT INTEGRALS

被引：71
|
作者：
HAYAMI, K
MATSUMOTO, H
机构：
[1] NEC CORP LTD,C&C INFORMAT TECHNOL RES LABS,MIYAMAE KU,KAWASAKI 216,JAPAN
[2] NEC SCI INFORMAT SYST DEV CO LTD,KANAGAWA SCI PK,TAKATSU KU,KAWASAKI 213,JAPAN
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1994年 / 13卷 / 02期
关键词：
3 DIMENSIONAL BOUNDARY ELEMENT METHOD; NEARLY SINGULAR INTEGRAL; CURVED SURFACE ELEMENT; NUMERICAL INTEGRATION; POLAR COORDINATES; VARIABLE TRANSFORMATION; ERROR ANALYSIS; COMPLEX FUNCTION THEORY;
D O I：
10.1016/0955-7997(94)90017-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Nearly singular integrals arise in the boundary element method when analyzing thin structures and gaps and when calculating the field very near the boundary. Hayami proposed the PART method for the accurate and efficient calculation of such nearly singular integrals over general curved surface elements. In this paper, a new radial variable transformation for the method, which reduces the number of integration points for flux integrals, is proposed with theoretical error analysis using complex function theory. Also, an implementation technique of the method is proposed, which considerably reduces the number of integration points.
引用
收藏
页码：143 / 154
页数：12
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