000193228 001__ 193228
000193228 003__ CZ-ZdVUG
000193228 005__ 20190201123638.0
000193228 041__ $$aeng
000193228 040__ $$aABC039$$bcze
000193228 1001_ $$aHolota, Petr
000193228 24510 $$aDomain Transformation and the Iteration Solution of the Linear Gravimetric Boundary Value Problem
000193228 300__ $$a6 stran
000193228 5203_ $$9eng$$aThe aim of this paper is to discuss the solution of the simple 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. The solution domain is carried onto the exterior of a sphere 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 internal structure is analyzed and modified by using integration by parts. As a result of the transformation a spherical mathematical apparatus may be applied at each iteration step, including the spherical form of Green’s function of the second kind, i.e. Neumann’s function in the integral representation of the successive approximations.
000193228 655_4 $$apříspěvek ve sborníku
000193228 653_0 $$amethod of successive approximations$$aGreen’s function method$$atransformation of coordinates$$aLaplace’s operator$$aboundary value problems$$aEarth’s gravity field
000193228 7112_ $$aIAG General Assembly$$cPraha$$d22.6.2015
000193228 7730_ $$92016$$g(2016)$$tProceedings of the IAG General Assembly, Prague, Springer, 2016$$x0939-9585
000193228 856__ $$uurn:doi:10.1007/1345_2016_236
000193228 85642 $$uhttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F16%3AN0000040%21RIV17-GA0-00025615
000193228 910__ $$aABC039
000193228 980__ $$aclanky_vugtk
000193228 985__ $$aholota
000193228 985__ $$aanotace
000193228 985__ $$autvar24
000193228 985__ $$ariv