TY - EJOU
AU - Mansur, W. J.
AU - Abreu, A. I.
AU - Carrer, J. A. M.
TI - Initial Conditions Contribution in Frequency-Domain BEM Analysis
T2 - Computer Modeling in Engineering \& Sciences
PY - 2004
VL - 6
IS - 1
SN - 1526-1506
AB - 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.
KW - Boundary elements
KW - Helmholtz equation
KW - frequency domain
KW - scalar wave equation
KW - Fourier transform
KW - initial conditions
DO - 10.3970/cmes.2004.006.031