About: Problems of potential theory and methods of their solution in refined studies on Earth's gravity field

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The aim of the paper is to show typical problems that are associated with the solution of Poisson’s and Laplace’s equation in gravity field studies based on classical terrestrial as well as modern satellite gravity field data. The use of the method of integral equations and the Green’s function method is approached first. Subsequently the weak solution and variational methods are discussed. The approach is more flexible in general. Some of its fundamental properties are mentioned. In contrast to the classical concept the solution is represented by means of a suitable function basis. This leads to Galerkin’s approximations and a solution of a rather large system of linear equations. Possibilities of using the concept of boundary-value problems in combining the terrestrial and satellite gravity field data are discussed too. As a rule, however, the problems are overdetermined by nature. Therefore, an optimization approach has to be applied together with the methods mentioned above. The aim of the paper is to show typical problems that are associated with the solution of Poisson’s and Laplace’s equation in gravity field studies based on classical terrestrial as well as modern satellite gravity field data. The use of the method of integral equations and the Green’s function method is approached first. Subsequently the weak solution and variational methods are discussed. The approach is more flexible in general. Some of its fundamental properties are mentioned. In contrast to the classical concept the solution is represented by means of a suitable function basis. This leads to Galerkin’s approximations and a solution of a rather large system of linear equations. Possibilities of using the concept of boundary-value problems in combining the terrestrial and satellite gravity field data are discussed too. As a rule, however, the problems are overdetermined by nature. Therefore, an optimization approach has to be applied together with the methods mentioned above. (en)
Title	Problems of potential theory and methods of their solution in refined studies on Earth's gravity field Problems of potential theory and methods of their solution in refined studies on Earth's gravity field (en)
skos:prefLabel	Problems of potential theory and methods of their solution in refined studies on Earth's gravity field Problems of potential theory and methods of their solution in refined studies on Earth's gravity field (en)
skos:notation	RIV/00025615:_____/09:#0001588!RIV10-MSM-00025615
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC506), Z(CUZ0002561501)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Holota, Petr
http://linked.open.../riv/druhVysledku	A(V) - Audiovizuální tvorba se vzdáleným přístupem
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	336602
http://linked.open...ai/riv/idVysledku	RIV/00025615:_____/09:#0001588
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Method of integral equations; Green’s function method; Weak solution; Variational methods; Galerkin’s approximations; Overdetermined problems; Otimization and target function (en)
http://linked.open.../riv/klicoveSlovo	Weak solution Galerkin’s approximations Green’s function method Method of integral equations Otimization and target function Variational methods Overdetermined problems
http://linked.open...i/riv/kodPristupu	L
http://linked.open...ontrolniKodProRIV	[D60AADD0236F]
http://linked.open...i/riv/mistoVydani	Bratislava
http://linked.open...in/vavai/riv/obor	DE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Recent dynamics of the Earth
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Holota, Petr
http://linked.open...n/vavai/riv/zamer	Research and Development in Geodesy, Cadastre and Geomatics in 2005 - 2011

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