Abstract
The numerical results of downward continuation (DWC) of point and mean gravity anomalies by the Poisson integral using point, single mean, and doubly averaged kernel are examined. Correct evaluation of the integral in its innermost zone is a challenging task. To avoid instabilities, an analytical planar approximation is used in the innermost integration zone. In addition it is shown that the single mean mode has the minimum discretization error. Downward continuation of point and mean anomalies by singly and doubly averaged kernel are the same mean anomalies on the geoid.
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Goli, M., Najafi-Alamdari, M. & Vaníček, P. Numerical behaviour of the downward continuation of gravity anomalies. Stud Geophys Geod 55, 191–202 (2011). https://doi.org/10.1007/s11200-011-0011-8
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DOI: https://doi.org/10.1007/s11200-011-0011-8