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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F09%3A%230001588" target="_blank" >RIV/00025615:_____/09:#0001588 - 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

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

A - Audiovizuální tvorba

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

2009

Kód důvěrnosti údajů

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

ISBN

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Místo vydání

Bratislava

Název nakladatele resp. objednatele

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Verze

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Identifikační číslo nosiče

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