Accuracy of Numerical Surface Integrals in the Indirect Boundary Integral Method

This paper describes the accuracy of surface integrals in the indirect boundary integral method containing singular integrals. Here, the surface integral is carried out directly and numerically by the use of Simpson's and Legendre-Gauss's quadrature formulae. Also, the line integral, obtai...

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Bibliographic Details
Published inTransactions of the Japan Society of Mechanical Engineers Series A Vol. 57; no. 533; pp. 181 - 187
Main Authors KISHIDA, Michiya, MACHINO, Shiroh, SASAKI, Kazuaki
Format Journal Article
LanguageEnglish
Japanese
Published The Japan Society of Mechanical Engineers 1991
Subjects
Accuracy
Elasticity
Gauss-Ostrogradskii's Transformation
Indirect Boundary Integral Method
Line Integral
Numerical Analysis
Surface Integral
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ISSN0387-5008
1884-8338
DOI10.1299/kikaia.57.181

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Summary:This paper describes the accuracy of surface integrals in the indirect boundary integral method containing singular integrals. Here, the surface integral is carried out directly and numerically by the use of Simpson's and Legendre-Gauss's quadrature formulae. Also, the line integral, obtained by applying Gauss-Ostrogradskii's transformation to the surface integral, is examined. The accuracy is evaluated by the convergence behaviors of surface and line integrals and by the comparison with the analytically obtained integral values.
ISSN:0387-5008
1884-8338
DOI:10.1299/kikaia.57.181