Numerical simulations for the non-linear Molodensky problem

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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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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
Issue number4
Early online date8 May 2014
Publication statusPublished - Oct 2014


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

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology


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