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A boundary element method for axisymmetric potential problems with non‐axisymmetric boundary conditions using fast Fourier transform

Ch. Provatidis (Department of Mechanical Engineering, Mechanical Design and Control Systems Section, National Technical University of Athens, Athens, Greece)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 June 1998

523

Abstract

This paper presents a methodology, based on the fast Fourier transform (FFT), that improves prior established techniques to solve axisymmetric potential problems with non‐axisymmetric boundary conditions using the boundary element method (BEM). The proposed methodology is highly effective, especially in cases where a large number of harmonics is required. Furthermore, it is optimised at several levels, reaching the maximum possible efficiency. Special concern is given on its implementation on quadratic elements that are of current practice. The method is applicable to any type of boundary elements as well as to a wider class of static and dynamic axisymmetric boundary value problems.

Keywords

Citation

Provatidis, C. (1998), "A boundary element method for axisymmetric potential problems with non‐axisymmetric boundary conditions using fast Fourier transform", Engineering Computations, Vol. 15 No. 4, pp. 428-449. https://doi.org/10.1108/02644409810219802

Publisher

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MCB UP Ltd

Copyright © 1998, MCB UP Limited

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