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Initial Conditions Contribution in Frequency-Domain BEM Analysis

W. J. Mansur1, A. I. Abreu1, J. A. M. Carrer1
Department of Civil Engineering, COPPE / Federal University of Rio de Janeiro, CXP 68506, CEP: 21945-970, Rio de Janeiro, RJ, Brasil, e-mail address; webe@coc.ufrj.br (W. J. Mansur)

Computer Modeling in Engineering & Sciences 2004, 6(1), 31-42. https://doi.org/10.3970/cmes.2004.006.031

Abstract

This work is concerned with the computation of the contribution of initial conditions in two-dimensional (2D) frequency-domain analysis of transient scalar wave propagation problems with the corresponding Boundary Element Method (BEM) formulation. The paper describes how pseudo-forces, represented by generalized functions, can replace the initial conditions, related to the potential and its time derivative. The generation of such pseudo-forces is the subject of a detailed discussion. The formulation presented here carries out Discrete Fourier Transform (Direct: DFT, and Inverse: IDFT) via FFT (Fast Fourier Transform) algorithms. At the end of the paper four examples are presented in order to show the potentialities and accuracy of the approach.

Keywords

Boundary elements, Helmholtz equation, frequency domain, scalar wave equation, Fourier transform, initial conditions.

Cite This Article

Mansur, W. J., Abreu, A. I., A., J. (2004). Initial Conditions Contribution in Frequency-Domain BEM Analysis. CMES-Computer Modeling in Engineering & Sciences, 6(1), 31–42.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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