TY - INPR
A1 - Abeyratne, M. K.
A1 - Freeden, W.
A1 - Mayer, C.
T1 - Multiscale Deformation Analysis by Cauchy-Navier Wavelets
N2 - 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.
T3 - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 247
KW - Cauchy-Navier equation
KW - displacement problem
KW - limit and jump relations
KW - Cauchy-Navier scaling function and wavelet
Y1 - 2002
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1281
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-11900
ER -