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The multigrid method for satellite gravity field recovery

  • J. Kusche
  • S. Rudolph
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 121)

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

Keywords

Satellite gravity recovery multigrid method fast solvers regularization 

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Copyright information

© SPringer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • J. Kusche
    • 1
  • S. Rudolph
    • 1
  1. 1.Institute of Theoretical GeodesyUniversity of BonnBonnGermany

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