Neumannovův okrajový problém při studiu tíhového pole Země: slabé řešení

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F05%3A000013PH" target="_blank" >RIV/00025615:_____/05:000013PH - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Neumann's boundary-value problem in studies on Earth gravity field: Weak solution

Popis výsledku v původním jazyce

The aim is to discuss the solution of Neumann's problem interpreted in its oblique derivative version, as it appears in physical geodesy. The problem is formulated in terms of variational methods and the weak solution concept. The motivation comes from the progress of satellite geodesy methods in studies on Earth gravity filed. A possibility is investigated to interpret the solution as a minimization of a quadratic functional, which in the case of the oblique derivative problem leads to an iteration process. The solution is expressed in terms of function bases. In this connection the existence and construction of the reproducing kernel is discussed. Galerkin's system is constructed for the oblique derivative case, which in geodesy corresponds to the gravimetric boundary-value problem. Subsequently, the matrix of this system is simplified slightly, which is compensated by means of successive approximations. Their convergence is discussed. The last section offers some final remarks and a

Název v anglickém jazyce

Neumann's boundary-value problem in studies on Earth gravity field: Weak solution

Popis výsledku anglicky

The aim is to discuss the solution of Neumann's problem interpreted in its oblique derivative version, as it appears in physical geodesy. The problem is formulated in terms of variational methods and the weak solution concept. The motivation comes from the progress of satellite geodesy methods in studies on Earth gravity filed. A possibility is investigated to interpret the solution as a minimization of a quadratic functional, which in the case of the oblique derivative problem leads to an iteration process. The solution is expressed in terms of function bases. In this connection the existence and construction of the reproducing kernel is discussed. Galerkin's system is constructed for the oblique derivative case, which in geodesy corresponds to the gravimetric boundary-value problem. Subsequently, the matrix of this system is simplified slightly, which is compensated by means of successive approximations. Their convergence is discussed. The last section offers some final remarks and a

Druh

D - Stať ve sborníku

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/GA205%2F04%2F1423" target="_blank" >GA205/04/1423: Aplikace teorie potenciálu a aproximativních metod ve fyzikální geodézii</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2005

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

50 years of the Research Institute of Geodesy, Topography and Cartiography, Jubilee Proceedings, Proceedings of VUGTK Research Works, Vol. 50, No. 36

ISBN

80-85881-23-3

ISSN

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e-ISSN

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Počet stran výsledku

21

Strana od-do

49-69

Název nakladatele

Resaerch Institute of Geodesy, Topographya and Cartography

Místo vydání

Zdiby-Prague

Místo konání akce

Prague

Datum konání akce

1. 1. 2004

Typ akce podle státní příslušnosti

CST - Celostátní akce

Kód UT WoS článku

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