About: Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The purpose of the paper is to develop a method of combining terrestrial and satellite gravity field data, which in an optimal way exploits gravity field information contained in the solution of boundary problems in a close neighborhood of the Earth. Effects caused by the topography of the Earth are taken into account. The starting point is a transformation of the boundary problems considered under a small modification of curvilinear coordinates. In the new coordinates the boundary and also the boundary condition is simpler. Effects caused by the topography of the Earth are treated as perturbations and expressed as corrections constructed by means of successive approximations. As a consequence a spherical mathematical apparatus may be applied at each iteration step. Especially Green’s function is constructed for the domain bounded by two concentric spheres. The continuation of the solution is discussed with a particular view to its regularity at infinity. The purpose of the paper is to develop a method of combining terrestrial and satellite gravity field data, which in an optimal way exploits gravity field information contained in the solution of boundary problems in a close neighborhood of the Earth. Effects caused by the topography of the Earth are taken into account. The starting point is a transformation of the boundary problems considered under a small modification of curvilinear coordinates. In the new coordinates the boundary and also the boundary condition is simpler. Effects caused by the topography of the Earth are treated as perturbations and expressed as corrections constructed by means of successive approximations. As a consequence a spherical mathematical apparatus may be applied at each iteration step. Especially Green’s function is constructed for the domain bounded by two concentric spheres. The continuation of the solution is discussed with a particular view to its regularity at infinity. (en)
Title	Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data (en)
skos:prefLabel	Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data (en)
skos:notation	RIV/00025615:_____/09:#0001578!RIV10-GA0-00025615
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA205/06/1330), Z(CUZ0002561501)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Nesvadba, Otakar Holota, Petr
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Výzkumný ústav geodetický, topografický a kartografický, v.v.i.
http://linked.open...dnocenehoVysledku	311142
http://linked.open...ai/riv/idVysledku	RIV/00025615:_____/09:#0001578
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Modelling of the Earth's gravity field; Geodetic boundary-value problems; Overdetermined problems; Terrestrial and satellite data; Optimization (en)
http://linked.open.../riv/klicoveSlovo	Optimization Geodetic boundary-value problems Overdetermined problems Terrestrial and satellite data Modelling of the Earth's gravity field
http://linked.open...ontrolniKodProRIV	[C9E87D66E4AE]
http://linked.open...v/mistoKonaniAkce	Perugia
http://linked.open...i/riv/mistoVydani	Berlin-Heidelberg
http://linked.open...i/riv/nazevZdroje	Proceedings of the 2007 IAG General Assembly, International Association of Geodesy Symposia
http://linked.open...in/vavai/riv/obor	DE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Potential problems and methods of their solution in refined studies on Earth gravity field
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Holota, Petr Nesvadba, Otakar
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2001-07-02 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Research and Development in Geodesy, Cadastre and Geomatics in 2005 - 2011
issn	0939-9585
number of pages	10 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-540-85425-8
is http://linked.open...avai/riv/vysledek of	Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data

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