Přímé metody a iterační přístup k řešení geodetického okrajového problému

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F08%3A%230001449" target="_blank" >RIV/00025615:_____/08:#0001449 - 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

Direct methods and an iteration approach in solving the gravimetric boundary value problem

Popis výsledku v původním jazyce

In the paper the gravimetric boundary value problem is discussed in terms of the so-called weak solution. The approach follows principles of variational methods and leads to Galerkin?s approximations. 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 interpretation of the solution extremely demanding. An alternative is considered. It reduces the demands by means of successive approximations. Step by step they make it possible to account for effects caused by the obliqueness of the derivative in the boundary condition and by the departure of the boundary from a more regular surface, a sphere in particular. In consequence an approximation to Galerkin?s matrix can be used, which is an advantage. The convergence of the process is investigated and also examined numerically. The discussion is added extensive numerical simulations using gravity data derived from the EGM96.

Název v anglickém jazyce

Direct methods and an iteration approach in solving the gravimetric boundary value problem

Popis výsledku anglicky

In the paper the gravimetric boundary value problem is discussed in terms of the so-called weak solution. The approach follows principles of variational methods and leads to Galerkin?s approximations. 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 interpretation of the solution extremely demanding. An alternative is considered. It reduces the demands by means of successive approximations. Step by step they make it possible to account for effects caused by the obliqueness of the derivative in the boundary condition and by the departure of the boundary from a more regular surface, a sphere in particular. In consequence an approximation to Galerkin?s matrix can be used, which is an advantage. The convergence of the process is investigated and also examined numerically. The discussion is added extensive numerical simulations using gravity data derived from the EGM96.

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/GA205%2F06%2F1330" target="_blank" >GA205/06/1330: Úlohy teorie potenciálu a metody jejich řešení při přesném studiu tíhového pole 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

2008

Kód důvěrnosti údajů

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

ISBN

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Místo vydání

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Název nakladatele resp. objednatele

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Verze

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Identifikační číslo nosiče

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