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  Gravity field modelling by the FEM and FVM using the second derivatives of disturbing potential as the boundary condition

Macák, M., Minarechová, Z., Mikula, K., Čunderlík, R., Tomek, L. (2023): Gravity field modelling by the FEM and FVM using the second derivatives of disturbing potential as the boundary condition, XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG) (Berlin 2023).
https://doi.org/10.57757/IUGG23-3826

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Item Permalink: https://gfzpublic.gfz-potsdam.de/pubman/item/item_5020719 Version Permalink: https://gfzpublic.gfz-potsdam.de/pubman/item/item_5020719_1
Genre: Conference Paper

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 Creators:
Macák, Marek1, Author
Minarechová, Zuzana1, Author
Mikula, Karol1, Author
Čunderlík, Róbert1, Author
Tomek, Lukáš1, Author
Affiliations:
1IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations, ou_5011304              

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 Abstract: We present global gravity field modelling by the finite element and finite volume methods where the second derivatives of disturbing potential are taken into account directly as the boundary condition. To that goal, we define the 3D finite computational domain bounded from the bottom by the Earth's surface and from the top by an artificial boundary at the level of GOCE satellites. Then the boundary value problem consists of the Laplace equation accompanied by the first derivatives of disturbing potential given on the bottom boundary and the second derivatives of the disturbing potential given on the upper boundary. To solve such a problem, we apply the finite element as well as the finite volume methods to obtain the corresponding numerical schemes. Finally, we study and test the order of convergence of these schemes by theoretical numerical experiments, and then we focus on global gravity field modelling.

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Language(s): eng - English
 Dates: 2023-07-112023-07-11
 Publication Status: Finally published
 Pages: -
 Publishing info: -
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 Rev. Type: -
 Identifiers: DOI: 10.57757/IUGG23-3826
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Title: XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
Place of Event: Berlin
Start-/End Date: 2023-07-11 - 2023-07-20

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Title: XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
Source Genre: Proceedings
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Publ. Info: Potsdam : GFZ German Research Centre for Geosciences
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -