Error estimates for band-limited spherical regularization wavelets in an inverse problem of satellite geodesy

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Published under licence by IOP Publishing Ltd
, , Citation Sergei Pereverzev and Eberhard Schock 1999 Inverse Problems 15 881 DOI 10.1088/0266-5611/15/4/304

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Author affiliations

1 Institute of Mathematics, Ukrainian Academy of Sciences, Tereshchenkiska str. 3, 252601 Kiev-4, Ukraine

2 Department of Mathematics, University of Kaiserslautern, PO Box 2049, 67653 Kaiserslautern, Germany

Dates

  1. Received 27 November 1998

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0266-5611/15/4/881

Abstract

We discuss a special class of regularization methods for solving the exponentially ill-posed satellite gravity gradiometry problem in a spherical framework based on band-limited spherical regularization wavelets. Considering such wavelets as a result of a combination of some regularization methods with Galerkin discretization based on the spherical harmonic system we obtain the error estimates of regularized solutions as well as the estimates for regularization parameters and parameters of band-limitation.

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10.1088/0266-5611/15/4/304