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| Titel |
On the application of the infinite element method to geodetic boundary value problem |
| VerfasserIn |
Michal Šprlák, Zuzana Faskova, Karol Mikula |
| Konferenz |
EGU General Assembly 2010
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 12 (2010) |
| Datensatznummer |
250039984
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| Zusammenfassung |
| Our aim is to introduce the infinite element method for solving the geodetic boundary value
problems. The main idea is to create the 3D computational domain bounded by a chosen part
of the Earth’s surface Î1, four side boundaries Î2,-¦,Î5 and one upper spherical
boundary Î6 away from the Earth surface. Afterwards, such domain is divided in radial
direction into two subdomains. The lower subdomain is meshed by finite elements
whereas the upper one is meshed by infinite elements used to represent an exterior
subdomain of semi-infinite extent. Then our geodetic problem consists of the Laplace
equation accompanied by (i) Neumann boundary conditions (BCs) in the form of
gravity disturbances (ii) Newton BCs in the form of gravity anomalies that are
prescribed on Î1 and Dirichlet BCs in the form of disturbing potential on Î2,-¦,Î5.
Finally, our approach using the synthetic BCs computed from a Synthetic Earth
Gravity Model (SEGM) as an input data is compared and tested by data generated
directly from SEGM and the solution by the finite element method. The results show
good qualitative correspondence with synthetically generated quantities in all tests. |
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