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arXiv · 1308.2562

Numerical simulations of the nonlinear Molodensky problem

Lothar Banz·Adrian Costea·Heiko Gimperlein·Ernst P. Stephan
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Abstract

We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the earth from the gravitational potential and the gravity vector. Our solution procedure solves a sequence of exterior oblique Robin problems and is based on a Nash-H\"{o}rmander iteration. We apply smoothing with the heat equation to overcome a loss of derivatives in the surface update. Numerical results compare the error between the approximation and the exact solution in a model problem.

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Lothar Banz, Adrian Costea, Heiko Gimperlein, Ernst P. Stephan. 2013-08-12. Numerical simulations of the nonlinear Molodensky problem. https://doi.org/10.1007/s11200-013-0141-2

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