A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

By:

Ken Hayami

Format:

Paperback / softback

Series:

Lecture Notes in Engineering

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Description

This study proposes a numerical integration method for nearly singular integrals over general curved surfaces, arising in three dimensional boundary element analysis. Nearly singular integrals frequently occur in engineering problems involving thin structures of gaps and when calculating the field near the boundary. Numerical experiments show that the method is far more efficient compared to previous methods and is robust concerning the type of integral kernel and position of the source point. Theoretical error estimates for the method are derived using complex function theory. The method is also shown to be applicable to weakly singular and hypersingular integrals. Knowledge in basic calculus is assumed. The book is intended for engineers and researchers using the boundary element method who require accurate methods for numerical integration and also for numerical analysts interested in an application area for numerical integration.

Release date NZ

March 30th, 1992

Author

Ken Hayami

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1992

Illustrations

X, 456 p.

Pages

456

Series

Lecture Notes in Engineering

Dimensions

170x242x24

ISBN-13

9783540550006

Product ID

14154400

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A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

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