Abstract
Dedicated SST- or gradiometry missions like CHAMP, GRACE and GOCE will provide gravity field information of unprecedented resolution and precision. It has been recognized that better gravity field models and estimates of the geoid are useful for a wide range of research and application, including ocean circulation and climate change studies, physics of the earth’s interior and height datum connection and unification (ESA 1996, NRC 1997). The computation of these models will require the solution of large normal equation systems, especially if “brute force” approaches are applied. Evidently there is a need for fast solvers. The multigrid method (MGM) is not only an extremely fast iterative solution technique, it yields a welldefined sequence of coarser approximations as a by-product to the final gravity field solution. We investigate the application of MGM to satellite gravity field recovery using space-localizing kernel functions, for theoretical as well as numerical aspects
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References
Braess, D. (1996). Finite Elemente. Springer, Berlin
Bramble, JH . (1993). Multigrid Methods. Pitman Research Notes in Mathematics Series, Harlow
ESA (1996). Gravity Field and Steady-State Ocean Circulation Mission. ESA Publications,Division, Reports for Assessment, Noordwijk
Hackbusch, W (1985). Mufti-Grid Methods and Applications. Springer Series in Computational Mathematics, Berlin
Kusche, J., Ilk, K. H. and Rudolph, S. Two-step data analysis for future satellite gravity field solutions: A simulation study. Proceedings of the 2nd Joint Meeting of IGC/IGeC at Trieste, Italy, 7–12 September 1998, to appear in Bollettiao Geofisica
Maaβ, P. and A. Riederer (1996) Wavelet-accelerated Tykhonov-Regularization with Applications, preprint, University of Potsdam
NRC (1997). Satellite Gravity and the Geosphere. National Academy Preys, Washigton D.C
Schuh, W.-D., Sünkel, H., Hausleitner, W. and Höck, E. (1996) Refinement of Iterative Procedures for the Reduction of Spaceborne Gravimetry Data. Study of advanced reduction methods for spaceborn gravimetry data, and of data combination with geophysical parameters, CIGAR IV Final Rep., ESTEC/JP/95-4-137/MS/nr
Xu, J . (1992). Iterative methods by Space decompa anion and Subspace Correction. SIAM Review, 34(4): 581–613
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© 2000 SPringer-Verlag Berlin Heidelberg
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Kusche, J., Rudolph, S. (2000). The multigrid method for satellite gravity field recovery. In: Schwarz, KP. (eds) Geodesy Beyond 2000. International Association of Geodesy Symposia, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59742-8_30
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DOI: https://doi.org/10.1007/978-3-642-59742-8_30
Publisher Name: Springer, Berlin, Heidelberg
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