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Journal of Applied Mathematics - Volume 2003 2003, Issue 12, Pages 605-645

Geomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern 67653, Germany

Received 6 June 2003; Revised 20 August 2003

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A geoscientifically relevant wavelet approach is established forthe classical inner displacement problem corresponding to aregular surface such as sphere, ellipsoid, and actual earthsurface. Basic tools are the limit and jump relations oflinear elastostatics. Scaling functions and wavelets areformulated within the framework of the vectorial Cauchy-Navierequation. Based on appropriate numerical integration rules, apyramid scheme is developed providing fast wavelet transformFWT. Finally, multiscale deformation analysis is investigatednumerically for the case of a spherical boundary.

Author: M. K. Abeyratne, W. Freeden, and C. Mayer



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