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, and actual earth surface). Basic tools are the limit and jump relations of (linear) elastostatics. Scaling functions and wavelets...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03206033 |
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| Summary: | 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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| ISSN: | 1110-757X 1687-0042 |