On the application of the coupled finite-infinite element method to geodetic boundary-value problem

Our aim is to introduce the Coupled Finite-Infinite Element Method (CFIEM) as a new alternative approach to the Earth’s gravity field modelling. We show that if the computational domain is large enough in radial direction, one can obtain the qualitatively and quantitatively comparable solution to th...

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Published inStudia geophysica et geodaetica Vol. 55; no. 3; pp. 479 - 487
Main Authors Šprlák, Michal, Fašková, Zuzana, Mikula, Karol
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.07.2011
Springer Nature B.V
Subjects
Atmospheric Sciences
Boundary conditions
Boundary value problems
Earth and Environmental Science
Earth Sciences
Finite element analysis
Geophysics/Geodesy
Structural Geology
Geodetic Boundary-Value Problem
Synthetic Earth Gravity Model
Finite Element Method
Coupled Finite-Infinite Element Method
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ISSN0039-3169
1573-1626
DOI10.1007/s11200-011-0028-z

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Summary:Our aim is to introduce the Coupled Finite-Infinite Element Method (CFIEM) as a new alternative approach to the Earth’s gravity field modelling. We show that if the computational domain is large enough in radial direction, one can obtain the qualitatively and quantitatively comparable solution to the solution by the Finite Element Method (FEM). We study the influence of the size of the computational domain on the final CFIEM solution as well as the successive refinement of the discretization and its convergence to the exact solution. As an input data we use the synthetic boundary conditions computed from a Synthetic Earth Gravity Model (SEGM) and we test the CFIEM solution by the data generated directly from SEGM and the solution by the FEM.
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ISSN:0039-3169
1573-1626
DOI:10.1007/s11200-011-0028-z