Based on the well-known results of classical potential theory, viz. the limit and jump relations for layer integrals, a numerically viable and efficient multiscale method of approximating the disturbing potential from gravity anomalies is established on regular surfaces, i.e., on telluroids of ellipsoidal or even more structured geometric shape. The essential idea is to use scale dependent regularizations of the layer potentials occurring in the integral formulation of the linearized Molodensky problem to introduce scaling functions and wavelets on the telluroid. As an application of our multiscale approach some numerical examples are presented on an ellipsoidal telluroid.
Freeden W 1980b: Math. Meth. Appl. Sci., 2, 397-409.
Glockner O 2001: On Numerical Aspects of Gravitational Field Modeling from SST and SGG by Harmonic Splines and Wavelets (With Application to CHAMP Data). Ph.D-Thesis, Department of Mathematics, Geomathematics Group, Shaker, Aachen
Gutting M 2002: Multiscale Gravitational Field Modeling from Oblique Derivatives, Diploma Thesis, Department of Mathematics, Geomathematics Group, University of Kaiser-slautern
Heiskanen W A, Moritz H 1967: Physical Geodesy. W H Freeman and Company
Lemoine F G, Kenyon S C, Factor J K, Trimmer R G, Pavlis N K, Chinn D S, Cox C M, Klosko S M, Luthcke S B, Torrence M H, Wang Y M, Williamson R G, Pavlis E C, Rapp R H, Olson T R 1998: The Development of the Doint NASA GSFC and NIMA Geopotential Model EGM96. NASA/TP-1998-206861
Martensen E 1968: Potentialtheorie. B G Teubner, Stuttgart
Martinec Z 1999: Boundary-value Problems for Gravimetric Determination of a Precise Geoid. Springer, Berlin, Heidelberg, New York
Boundary-value Problems for Gravimetric Determination of a Precise Geoid, ().
Boundary-value Problems for Gravimetric Determination of a Precise Geoid)| false