Titlebook: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions; Fernando Sansò,Michael G.‘Sideris Book 2017

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https://doi.org/10.1007/978-3-642-94374-4 the actual complicated boundary to a Bjerhammer sphere, solving the corresponding BVP by a Poisson kernel and then going to residuals. A rigorous proof of convergence of the above method is still lacking, although a fine perturbative analysis conducted in Appendix A seems to answer in positive sens

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https://doi.org/10.1007/978-3-663-04646-2to mimic the effect of a topography by introducing lateral density variations between the two spheres. This still allows analytical continuation solutions and we compare once more Molodensky’s and Helmert’s solutions in terms of DC. The equivalence then comes out quite evidently, showing that if the

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Die Künstliche Zahnreihe beim ZahnlosenThe two approaches, Molodensky and Helmert, are proved to be equivalent at the level of formulation of the linearized GBVP, according to the definitions introduced in Chap.?..

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Fernando Sansò,Michael G.‘SiderisShows for the first time the theoretical equivalence of the various geodetic boundary value problems, with and without terrain reductions.Offers a rigorous, alternative interpretation of the usual dow

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