000196043 001__ 196043
000196043 003__ CZ-ZdVUG
000196043 005__ 20201207100802.0
000196043 040__ $$aABC039$$bcze
000196043 1001_ $$aHolota, Petr
000196043 24510 $$aIntegral Representation and Green’s Function Method in Gravity Field Studies
000196043 300__ $$a1 strana
000196043 5203_ $$aIn the integral representation the use of Green’s function basically rests on the convolution of the data with this specific integral kernel. When studying the gravity field the important and densely distributed date are usually available on the boundary of the solution domain. Boundary value problems have an important position in this field. Regarding the construction of the integral kernel, Green’s function, there exist elegant and powerful methods for simple solution domains as, e.g., the sphere, the outer space of the sphere, the spherical layer. A more complicated, but still manageable, is the construction, e.g., for the exterior of an ellipsoid of revolution. In order to preserve the benefit of the Green’s function method also for more complicated boundaries an iteration procedure is discussed. A transformation of spatial coordinates is used that offers a possibility for an alternative between the boundary complexity and the complexity of the coefficients of Laplace’s partial differential equation governing the solution. The structure of the Laplacian was deduced by means of tensor calculus and in a sense it reflects the geometrical nature of the solution domain, particularly the geometrical nature of the Earth’s surface. In combination with successive approximations the concept above enables to approach the solution of Laplace’s partial differential equation expressed in the system of new coordinates. It is applied for the solution of geodetic boundary value problems as well as for the combination of terrestrial and satellite data. The iteration steps are analysed by numerical as well as functional analytic tools.
000196043 655_4 $$aanotace
000196043 7001_ $$aNesvadba, Otakar
000196043 7730_ $$92019
000196043 8564_ $$uhttps://www.czech-in.org/cmPortalV15/CM_W3_Searchable/iugg19/normal#!abstractdetails/0000782360
000196043 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F19%3AN0000044%21RIV20-MSM-00025615
000196043 910__ $$aABC039
000196043 980__ $$aclanky_vugtk
000196043 985__ $$aholota
000196043 985__ $$ariv
000196043 985__ $$autvar24
000196043 985__ $$anesvadba