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Direct computation of Cauchy principal value integrals in advanced boundary elements

✍ Scribed by Massimo Guiggiani; Paolo Casalini

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
537 KB
Volume
24
Category
Article
ISSN
0029-5981

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✦ Synopsis

This paper presents a new method for the direct computation of strongly singular integrals existing in the Cauchy principal value sense. It can be usefully applicd in thc solution by the direct boundary element method of many different problems. Initialiy, some considerations are provided in order to summarize the state-ofthe-art on this issue. Then the features of the proposed method arc rcported. The procedure allows the direct cdculation of Cauchy principal value integrals with first-order singularity and it is applicable even in advanced boundary element methods employing high-order dements. It requires only the use of standard Gaussian quadrature formulae plus thc computation of a logarithmic term. Some examples show the effectiveness and efficiency of thc procedure.

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