Numerical simulations of the nonlinear Molodensky problem
| Autor: | Banz, Lothar, Costea, Adrian, Gimperlein, Heiko, Stephan, Ernst P. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Studia geophysica et geodaetica 58 (2014), 489 - 504 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11200-013-0141-2 |
| Popis: | 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. Comment: 13 pages, submitted to the proceedings of the European Geosciences Union General Assembly 2013 / Studia geophysica et geodaetica |
| Databáze: | arXiv |
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