On the reproducing kernel for an oblate ellipsoid of revolution and its use in gravity field studies: Series representation, summation and numerical treatment

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F13%3A%230001895" target="_blank" >RIV/00025615:_____/13:#0001895 - 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

On the reproducing kernel for an oblate ellipsoid of revolution and its use in gravity field studies: Series representation, summation and numerical treatment

Popis výsledku v původním jazyce

In the introductory part the importance of the topic for gravity field studies is outlined. Some concepts and tools often used for the representation of the solution of the related boundary value problems are mentioned. Subsequently a weak formulation ofNeumann?s problem is considered with emphasis on a particular choice of function basis generated by the reproducing kernel of the respective Hilbert space of functions. The use of the reproducing kernel offers a very straightforward way leading to entries in Galekin?s matrix of the respective linear system for unknown scalar coefficients. The paper then focuses on the construction of the reproducing kernel for the solution domain given by the exterior of an oblate ellipsoid of revolution. The fundamental problem, however, is the possibility of practical summation of the series that represents the kernel. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is not a straightforward analogue to th

Název v anglickém jazyce

On the reproducing kernel for an oblate ellipsoid of revolution and its use in gravity field studies: Series representation, summation and numerical treatment

Popis výsledku anglicky

In the introductory part the importance of the topic for gravity field studies is outlined. Some concepts and tools often used for the representation of the solution of the related boundary value problems are mentioned. Subsequently a weak formulation ofNeumann?s problem is considered with emphasis on a particular choice of function basis generated by the reproducing kernel of the respective Hilbert space of functions. The use of the reproducing kernel offers a very straightforward way leading to entries in Galekin?s matrix of the respective linear system for unknown scalar coefficients. The paper then focuses on the construction of the reproducing kernel for the solution domain given by the exterior of an oblate ellipsoid of revolution. The fundamental problem, however, is the possibility of practical summation of the series that represents the kernel. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is not a straightforward analogue to th

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

ISBN

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Místo vydání

Vienna

Název nakladatele resp. objednatele

European Geosciences Union

Verze

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Identifikační číslo nosiče

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