Numerical simulations for the non-linear Molodensky problem

Lothar Banz, Adrian Costea, Heiko Gimperlein, Ernst P. Stephan

Research output: Contribution to journalArticle

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-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.

Original languageEnglish
Pages (from-to)489-504
JournalStudia Geophysica et Geodaetica
Volume58
Issue number4
Early online date8 May 2014
DOIs
StatePublished - Oct 2014

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Keywords

  • boundary elements
  • heat-kernel smoothing
  • Molodensky problem
  • Nash-Hörmander iteration

Cite this

Banz, Lothar; Costea, Adrian; Gimperlein, Heiko; Stephan, Ernst P. / Numerical simulations for the non-linear Molodensky problem.

In: Studia Geophysica et Geodaetica, Vol. 58, No. 4, 10.2014, p. 489-504.

Research output: Contribution to journalArticle

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Numerical simulations for the non-linear Molodensky problem. / Banz, Lothar; Costea, Adrian; Gimperlein, Heiko; Stephan, Ernst P.

In: Studia Geophysica et Geodaetica, Vol. 58, No. 4, 10.2014, p. 489-504.

Research output: Contribution to journalArticle

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AU - Banz,Lothar

AU - Costea,Adrian

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AU - Stephan,Ernst P.

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KW - Nash-Hörmander iteration

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