## Multiscale Deformation Analysis by Cauchy-Navier Wavelets

• A geoscientifically relevant wavelet approach is established for the classical (inner) displacement problem corresponding to a regular surface (such as sphere, ellipsoid, actual earth's surface). Basic tools are the limit and jump relations of (linear) elastostatics. Scaling functions and wavelets are formulated within the framework of the vectorial Cauchy-Navier equation. Based on appropriate numerical integration rules a pyramid scheme is developed providing fast wavelet transform (FWT). Finally multiscale deformation analysis is investigated numerically for the case of a spherical boundary.

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Author: M. K. Abeyratne, W. Freeden, C. Mayer urn:nbn:de:hbz:386-kluedo-11900 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (247) Preprint English 2002 2002 Technische Universität Kaiserslautern 2002/03/21 Cauchy-Navier equation ; Cauchy-Navier scaling function and wavelet; displacement problem ; limit and jump relations Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$