000193614 001__ 193614
000193614 003__ CZ-ZdVUG
000193614 005__ 20190201124049.0
000193614 041__ $$aeng
000193614 040__ $$aABC039$$bcze
000193614 1001_ $$aHolota, Petr
000193614 24510 $$aDomain transformation and the iteration solution of boundary value problems in gravity field studies
000193614 5203_ $$aIn 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.
000193614 655_4 $$aaudiovizuální tvorba
000193614 7001_ $$aNesvadba, Otakar
000193614 7730_ $$92015$$dPraha:International Union of Geodesy and Geophysics,2015.
000193614 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002197%21RIV16-GA0-00025615
000193614 910__ $$aABC039
000193614 980__ $$aclanky_vugtk
000193614 985__ $$aholota
000193614 985__ $$ariv
000193614 985__ $$autvar24
000193614 985__ $$anesvadba