TY  - INPR
A1  - Freeden, Willi
A1  - Michel, Volker
T1  - Wavelet Deformation Analysis for Spherical Bodies
N2  - In this paper we introduce a multiscale technique for the analysis of deformation phenomena of the Earth. Classically, the basis functions under use are globally defined and show polynomial character. In consequence, only a global analysis of deformations is possible such that, for example, the water load of an artificial reservoir is hardly to model in that way. Up till now, the alternative to realize a local analysis can only be established by assuming the investigated region to be flat. In what follows we propose a local analysis based on tools (Navier scaling functions and wavelets) taking the (spherical) surface of the Earth into account. Our approach, in particular, enables us to perform a zooming-in procedure. In fact, the concept of Navier wavelets is formulated in such a way that subregions with larger or smaller data density can accordingly be modelled with a higher or lower resolution of the model, respectively.
T3  - Schriften zur Funktionalanalysis und Geomathematik - 9 
KW  - Elastische Deformation
KW  - Kugel
KW  - Skalierungsfunktion
KW  - Wavelet-Analyse
KW  - Dirichlet-Problem
KW  - Neumann-Problem
KW  - Mehrskalenanalyse
KW  - Cauchy-Navier-Gleichung
KW  - Cauchy-Navier equation
Y1  - 2004
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1612
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13697
ER  -