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.

Download full text files

Export metadata

Additional Services

Search Google Scholar
Metadaten
Author:M. K. Abeyratne, W. Freeden, C. Mayer
URN:urn:nbn:de:hbz:386-kluedo-11900
Series (Serial Number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (247)
Document Type:Preprint
Language of publication:English
Year of Completion:2002
Year of first Publication:2002
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2002/03/21
Tag:Cauchy-Navier equation; Cauchy-Navier scaling function and wavelet; displacement problem; limit and jump relations
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011