Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
AUTOMATIC NUMERICAL INEGRATION FOR THE BOUNDARY ELEMENT METHOD USING VARIABLE TRANSFORMATION AND ITS ERROR ANALYSIS
Noboru KUNIHIROKen HAYAMIMasaaki SUGIHARA
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1995 Volume 5 Issue 1 Pages 101-119

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Abstract
Numerical integration governs the accuracy of the Boundary Element Method(BEM). When the source point is near the boundary element, the boundary element integrals cannot be computed accurately by using ordinary methods. To overcome this problem, the PART method was introduced. However, it is not easy to apply automatic numerical integration to the previous PART method, since it is based on the Gauss-Legendre rule. In this paper, we propose the log L_2-DE transformation in combination with the truncated trapezium rule for the radial variable integration in the PART method. Numerical expcrimcnts and theoretical analysis demonstrate the effectiveness of the proposed transformation.
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© 1995 The Japan Society for Industrial and Applied Mathematics
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