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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03206033 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561262564737024 |
|---|---|
| author | M. K. Abeyratne W. Freeden C. Mayer |
| author_facet | M. K. Abeyratne W. Freeden C. Mayer |
| author_sort | M. K. Abeyratne |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-025bf08f7f02473f84737e59fd504e87 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-025bf08f7f02473f84737e59fd504e872025-02-03T01:25:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-0120031260564510.1155/S1110757X03206033Multiscale deformation analysis by Cauchy-Navier waveletsM. K. Abeyratne0W. Freeden1C. Mayer2Geomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern 67653, GermanyGeomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern 67653, GermanyGeomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern 67653, GermanyA 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.http://dx.doi.org/10.1155/S1110757X03206033 |
| spellingShingle | M. K. Abeyratne W. Freeden C. Mayer Multiscale deformation analysis by Cauchy-Navier wavelets Journal of Applied Mathematics |
| title | Multiscale deformation analysis by Cauchy-Navier wavelets |
| title_full | Multiscale deformation analysis by Cauchy-Navier wavelets |
| title_fullStr | Multiscale deformation analysis by Cauchy-Navier wavelets |
| title_full_unstemmed | Multiscale deformation analysis by Cauchy-Navier wavelets |
| title_short | Multiscale deformation analysis by Cauchy-Navier wavelets |
| title_sort | multiscale deformation analysis by cauchy navier wavelets |
| url | http://dx.doi.org/10.1155/S1110757X03206033 |
| work_keys_str_mv | AT mkabeyratne multiscaledeformationanalysisbycauchynavierwavelets AT wfreeden multiscaledeformationanalysisbycauchynavierwavelets AT cmayer multiscaledeformationanalysisbycauchynavierwavelets |