Adaptive numerische Fouriertransformation in der Bodendynamik unter Verwendung einer Waveletzerlegung

The propagation of vibration in a layered halfspace can be solved analytically if a Fourier transform in respect to the coordinates x, y, t is applied. The surface-load can be of any shape, fixed or moving with a constant velocity. The response in the original space is then computed by a multidimensional numerical inverse Fourier transform. To combine adaptivity with a fast numeric algorithm the method of wavelet transform is used in the present paper. After an adapted wavelet decomposition, the function which has to be transformed can be represented by a small fraction of the original information. The achieved data compression reduces the computation time about to one tenth. After a short introduction to the theory of the used B-spline wavelets the developed algorithm is described. Typical examples of soild dynamics show the possible reduction in computation time. The proposed algorithm hereby allows the fast computation of complex problems with a known error estimate. (orig.)Available from TIB Hannover: RR 275(1997,2) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman