About: Method od successive approximations in solving geodetic boundary value problems

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About: Method od successive approximations in solving geodetic boundary value problems - Analysis and numerical approach Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The explanation rests on the concept of the weak solution. The focus is on the linear gravimetric boundary value problem. However, an oblique derivative in the boundary condition and the need for a numerical integration over the whole and complicated surface of the Earth make the numerical implementation rather demanding. The intention is to reduce the complexity by means of successive approximations and step by step to take into account effects caused by the obliqueness of the derivative and by the departure of the boundary from a more regular surface. The possibility to use a sphere or an ellipsoid of revolution as an approximation surface is discussed with the aim to simplify the bilinear form that defines the problem considered and to justify the use of an approximation of Galerkin’s matrix. The discussion is added of extensive numerical simulations and tests using the ETOPO5 boundary for the surface of the Earth and gravity data derived from the EGM96 model of the Earth’s gravity field. The explanation rests on the concept of the weak solution. The focus is on the linear gravimetric boundary value problem. However, an oblique derivative in the boundary condition and the need for a numerical integration over the whole and complicated surface of the Earth make the numerical implementation rather demanding. The intention is to reduce the complexity by means of successive approximations and step by step to take into account effects caused by the obliqueness of the derivative and by the departure of the boundary from a more regular surface. The possibility to use a sphere or an ellipsoid of revolution as an approximation surface is discussed with the aim to simplify the bilinear form that defines the problem considered and to justify the use of an approximation of Galerkin’s matrix. The discussion is added of extensive numerical simulations and tests using the ETOPO5 boundary for the surface of the Earth and gravity data derived from the EGM96 model of the Earth’s gravity field. (en)
Title	Method od successive approximations in solving geodetic boundary value problems - Analysis and numerical approach Method od successive approximations in solving geodetic boundary value problems - Analysis and numerical approach (en)
skos:prefLabel	Method od successive approximations in solving geodetic boundary value problems - Analysis and numerical approach Method od successive approximations in solving geodetic boundary value problems - Analysis and numerical approach (en)
skos:notation	RIV/00025615:_____/09:#0001586!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	Nesvadba, Otakar 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	325656
http://linked.open...ai/riv/idVysledku	RIV/00025615:_____/09:#0001586
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Earth’s gravity field; Geodetic boundary-value problems; Variational methods; Weak solution; Numerical methods; Galerkin’s approximations; Iteration and convergence problems (en)
http://linked.open.../riv/klicoveSlovo	Weak solution Numerical methods Galerkin’s approximations Iteration and convergence problems Earth’s gravity field Variational methods Geodetic boundary-value problems
http://linked.open...i/riv/kodPristupu	L
http://linked.open...ontrolniKodProRIV	[1F7BDC6CE0CB]
http://linked.open...i/riv/mistoVydani	Rome
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	Recent dynamics of the Earth
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Holota, Petr Nesvadba, Otakar
http://linked.open...n/vavai/riv/zamer	Research and Development in Geodesy, Cadastre and Geomatics in 2005 - 2011

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