Numerical simulations for the non-linear Molodensky problem

被引：0
|
作者：
Lothar Banz
Adrian Costea
Heiko Gimperlein
Ernst P. Stephan
机构：
[1] Leibniz Universität Hannover,Institut für Angewandte Mathematik
[2] University of Copenhagen,Department of Mathematical Sciences
来源：
Studia Geophysica et Geodaetica | 2014年 / 58卷
关键词：
Molodensky problem; heat-kernel smoothing; boundary elements; Nash-Hörmander iteration;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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-Hörmander iteration. We apply smoothing with the heat equation to overcome a loss of derivatives in the surface update. Numerical results show the error between the approximation and the exact solution in a model problem.
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页码：489 / 504
页数：15
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