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A robust approach to global problems in physical geodesy

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Abstract

A technique for renormalization of integral equations is used for obtaining very robust solutions. The number of multiplications used for inverting the integral equations can be reduced dramatically and mostly only weighted means will be needed. Theoretical gain in computer time might be up to 100 000 times for the most favourable cases when using 1000 unknowns. (Practical gains will be considerably less.) Solutions have been obtained with increased accuracy compared to the classical technique over integral equations. Surface elements might be of arbitrary size but the method is optimal for a global approach with equal area elements. The solutions were found strictly invariant with respect to the depth to the internal sphere, when using simpler models.

Applications in surveying are possible after some modifications.

Renormalization of integral equation has been widely used in the theory of quantum field.

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  1. Brinken 3, S-18274, Stocksund, (Sweden)

    Arne Bjerhammar

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  1. Arne Bjerhammar
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Bjerhammar, A. A robust approach to global problems in physical geodesy. Bull. Geodesique 59, 303–315 (1985). https://doi.org/10.1007/BF02521065

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  • DOI: https://doi.org/10.1007/BF02521065

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