000196026 001__ 196026
000196026 003__ CZ-ZdVUG
000196026 005__ 20201006123956.0
000196026 041__ $$aeng
000196026 040__ $$aABC039$$bcze
000196026 1001_ $$aHolota, Petr
000196026 24510 $$aDivergence of Gradient and the Solution Domain in Gravity Field Studies
000196026 300__ $$a27 stran
000196026 5203_ $$aThis paper focuses on the solution of the linear gravimetric boundary value problem by means of the method of successive approximations. A transformation of coordinates is used to express the relation between the description of the boundary of the solution domain and the structure of Laplace’s operator. In the introductory part of the paper the relation is interpreted in general terms by means of the apparatus of tensor calculus. The solution domain is carried onto the exterior of an oblate ellipsoid of revolution and the original oblique derivative boundary condition is given the form of Neumann’s boundary condition. Laplace’s operator expressed in terms of new coordinates involves topography-dependent coefficients. Effects caused by the topography of the physical surface of the Earth are treated as perturbations. Their structure is analyzed and modified by using integration by parts. As a result of the transformation an ellipsoidal mathematical apparatus may be applied at each iteration step. In particular Green’s function of the second kind, i.e. Neumann’s function, constructed for the exterior of an oblate ellipsoid of revolution, may be used in the integral representation of the successive approximations.
000196026 655_4 $$aaudiovizuální tvorba
000196026 7730_ $$92019
000196026 8564_ $$uhttps://leibnizsozietaet.de/wp-content/uploads/2017/04/Potsdam-LS2017-Holota.pdf
000196026 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F19%3AN0000042%21RIV20-MSM-00025615
000196026 910__ $$aABC039
000196026 980__ $$aclanky_vugtk
000196026 985__ $$aholota
000196026 985__ $$ariv
000196026 985__ $$autvar24