On the use of spherical wavelets and spherical pseudo-differential operators in fixed altimetry-gravimetry boundary value problems
Abstract
The fixed altimetry-gravimetry boundary value problem (AGBVP) II is transformed to a Neumann boundary value problem after downward continuation of land gravity data on the geoid using GPS/leveling. The Neumann boundary value problem is reformulated in terms of spherical pseudo-differential operators (PDOs). A numerical solution for the Neumann boundary value problem with smoothing conditions along the coastline, incorporated into the solution, has been found. The solution is based on the application of spherical wavelets and PDOs, and the smoothing conditions are applied on wavelet coefficients for different levels of wavelet decomposition and reconstruction. A numerical experiment has been conducted for the region of the eastern Canadian coastline and the results have been compared with the most recent official geoid of Canada. The effect of smoothing conditions along the coastline on the solution has been discussed and conclusions about the quality of the numerical solution from an application point of view are drawn.
- Publication:
-
EGS - AGU - EUG Joint Assembly
- Pub Date:
- April 2003
- Bibcode:
- 2003EAEJA.....7517G