Numerical simulations of the nonlinear Molodensky problem
Numerical Analysis
2015-06-30 v1
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.
Cite
@article{arxiv.1308.2562,
title = {Numerical simulations of the nonlinear Molodensky problem},
author = {Lothar Banz and Adrian Costea and Heiko Gimperlein and Ernst P. Stephan},
journal= {arXiv preprint arXiv:1308.2562},
year = {2015}
}
Comments
13 pages, submitted to the proceedings of the European Geosciences Union General Assembly 2013 / Studia geophysica et geodaetica