eng
Holota, Petr
Nesvadba, Otakar
Domain transformation and the iteration solution of boundary value problems in gravity field studies
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.
2018-11-13T11:06:27Z
http://knihovna.vugtk.cz/record/193614