000195899 001__ 195899
000195899 003__ CZ-ZdVUG
000195899 005__ 20190916095817.0
000195899 041__ $$aeng
000195899 040__ $$aABC039$$bcze
000195899 1001_ $$aHolota, Petr
000195899 24510 $$aGreen’s Function Method Extended by Successive Approximations and Applied to Earth’s Gravity Field Recovery
000195899 5203_ $$aThe aim of the paper is to implement the Green’s function method for the solution of the Linear Gravimetric Boundary Value Problem. The approach is iterative by nature. A transformation of spatial (ellipsoidal) 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 solution domain is carried onto the exterior of an oblate ellipsoid of revolution. Obviously, the structure of Laplace’s operator is more complex after the transformation. It was deduced by means of tensor calculus and in a sense it reflects the geometrical nature of the Earth’s surface. Nevertheless, the construction of the respective Green’s function is simpler for the solution domain transformed. It gives Neumann’s function (Green’s function of the 2nd kind) for the exterior of an oblate ellipsoid of revolution. In combination with successive approximations it enables to meet also Laplace’s partial differential equation expressed in the system of new (i.e. transformed) coordinates.
000195899 655_4 $$aanotace
000195899 7001_ $$aNesvadba, Otakar
000195899 7730_ $$92018
000195899 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F18%3AN0000054%21RIV19-MSM-00025615
000195899 910__ $$aABC039
000195899 980__ $$aclanky_vugtk
000195899 985__ $$aholota
000195899 985__ $$ariv
000195899 985__ $$autvar24
000195899 985__ $$anesvadba