Bibliografie VÚGTK
Domain transformation and the iteration solution of boundary value problems in gravity field studies
Holota, Petr ; Nesvadba, Otakar



Publication type: audiovizuální tvorba

Annotation:
In this paper, when treating boundary value problems in gravity field studies, the geometry of the physical surface of the Earth is seen in relation to the structure of the Laplace operator. This approach may be applied to classical problems as well as to combinations of terrestrial and satellite data. Similarly as in other branches of engineering and mathematical physics a transformation of coordinates is used that offers a possibility to solve an alternative between the boundary complexity and the complexity of the coefficients of the partial differential equation governing the solution. For instance the Laplace operator has a relatively simple structure in terms of spherical or ellipsoidal coordinates which are frequently used in geodesy. However, the physical surface of the Earth substantially differs from a sphere or an oblate ellipsoid of revolution, even if these are optimally fitted.

Citation: HOLOTA, Petr a Otakar NESVADBA. Domain transformation and the iteration solution of boundary value problems in gravity field studies. Praha, 2015.

The record appears in these collections:
Focus on VÚGTK > VÚGTK Departments > Geodesy and Geodynamics
Focus on VÚGTK > Staff VÚGTK > Otakar Nesvadba
Focus on VÚGTK > Staff VÚGTK > Petr Holota
Documents of VÚGTK > Articles VÚGTK
Focus on VÚGTK > RIV

 Record created 2018-11-13, last modified 2019-02-01



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