Open Access
31 December 2003 Multiscale deformation analysis by Cauchy-Navier wavelets
M. K. Abeyratne, W. Freeden, C. Mayer
J. Appl. Math. 2003(12): 605-645 (31 December 2003). DOI: 10.1155/S1110757X03206033


A geoscientifically relevant wavelet approach is established for the classical (inner) displacement problem corresponding to a regular surface (such as sphere, ellipsoid, and actual earth 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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M. K. Abeyratne. W. Freeden. C. Mayer. "Multiscale deformation analysis by Cauchy-Navier wavelets." J. Appl. Math. 2003 (12) 605 - 645, 31 December 2003.


Published: 31 December 2003
First available in Project Euclid: 5 January 2004

zbMATH: 1075.74010
MathSciNet: MR2057702
Digital Object Identifier: 10.1155/S1110757X03206033

Primary: 65T60 , 74B05
Secondary: 47H50 , 86A30

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 12 • 31 December 2003
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