A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

Language: English

Published by Springer, 1992

3540550003 / 9783540550006

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Druck auf Anfrage Neuware - Printed after ordering - In three dimensional boundary element analysis, computation of integrals is an important aspect since it governs the accuracy of the analysis and also because it usually takes the major part of the CPU time. The integrals which determine the influence matrices, the internal field and its gradients contain (nearly) singular kernels of order lIr a (0:= 1,2,3,4, ) where r is the distance between the source point and the integration point on the boundary element. For planar elements, analytical integration may be possible 1,2,6. However, it is becoming increasingly important in practical boundary element codes to use curved elements, such as the isoparametric elements, to model general curved surfaces. Since analytical integration is not possible for general isoparametric curved elements, one has to rely on numerical integration. When the distance d between the source point and the element over which the integration is performed is sufficiently large compared to the element size (d 1), the standard Gauss-Legendre quadrature formula 1,3 works efficiently. However, when the source is actually on the element (d=O), the kernel 1I~ becomes singular and the straight forward application of the Gauss-Legendre quadrature formula breaks down. These integrals will be called singular integrals. Singular integrals occur when calculating the diagonals of the influence matrices.…

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Title
A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals
Author
Ken Hayami
Publisher
Springer
Publication year
1992
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540550003
ISBN 13
9783540550006
Item weight
794 grams
Dimensions
242x170x26 mm

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