Method of Successive Approximations in Solving Geodetic Boundary Value Problems - Analysis and a Numerical Approach

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F12%3A%230001779" target="_blank" >RIV/00025615:_____/12:#0001779 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-642-22078-4_28" target="_blank" >http://dx.doi.org/10.1007/978-3-642-22078-4_28</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-642-22078-4_28" target="_blank" >10.1007/978-3-642-22078-4_28</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Method of Successive Approximations in Solving Geodetic Boundary Value Problems - Analysis and a Numerical Approach

Popis výsledku v původním jazyce

After an introductory note reviewing the role and the treatment of boundary problems in physical geodesy, the explanation rests on the concept of the weak solution. The focus is on the linear gravimetric boundary value problem. In this case, however, anoblique 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 of the concept 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 anapproximation sur-face is discussed with the aim to simplify the bilinear form that defines the problem under consideration and to justify the use of an approximation of Galerkin?s matrix. The discussion is added of extensive numeri-cal

Název v anglickém jazyce

Method of Successive Approximations in Solving Geodetic Boundary Value Problems - Analysis and a Numerical Approach

Popis výsledku anglicky

After an introductory note reviewing the role and the treatment of boundary problems in physical geodesy, the explanation rests on the concept of the weak solution. The focus is on the linear gravimetric boundary value problem. In this case, however, anoblique 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 of the concept 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 anapproximation sur-face is discussed with the aim to simplify the bilinear form that defines the problem under consideration and to justify the use of an approximation of Galerkin?s matrix. The discussion is added of extensive numeri-cal

Druh

D - Stať ve sborníku

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/LC506" target="_blank" >LC506: Recentní dynamika Země</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

VII Hotine-Marussi Symposium on Mathematical Geodesy

ISBN

978-3-642-22077-7

ISSN

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e-ISSN

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Počet stran výsledku

10

Strana od-do

189-198

Název nakladatele

Springer-Verlag

Místo vydání

Berlin

Místo konání akce

Rome

Datum konání akce

6. 6. 2009

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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