Evaluation of 1/r integrals in BEM formulations for 3-D problems using coordinate multitransformations

V. Sladek; J. Sladek; M. Tanaka

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Evaluation of 1/r integrals in BEM formulations for 3-D problems using coordinate multitransformations

机译：使用坐标多重变换评估BEM公式中1 / r积分的3-D问题

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摘要

This paper deals with the loss of accuracy of numerical integration of the weakly singular integrals in 3-D BEM formulations by Gauss quadrature when the source point is close to an edge of quadrilateral element. Instead of increasing the computational effort to solve this problem, a multiple transformation of integration variables is proposed. Several numerical experiments are carried out in order to illustrate the accuracy and efficiency of the proposed numerical algorithm.

机译：当源点靠近四边形元素的边缘时，本文通过高斯正交来解决3-D BEM公式中弱奇异积分的数值积分精度的损失。代替增加解决该问题的计算量，提出了积分变量的多重变换。为了说明所提出的数值算法的准确性和效率，进行了一些数值实验。

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来源
《Engineering analysis with boundary elements》 |1997年第3期|p.229-244|共16页
作者
V. Sladek; J. Sladek; M. Tanaka;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类工程数学;
关键词
Boundary elements; weak singularity; numerical integration; accuracy;

机译：边界元素;奇异性弱;数值积分准确性;

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Evaluation of 1/r integrals in BEM formulations for 3-D problems using coordinate multitransformations

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