An approximation of ellipsoidal harmonics and the construction of Galerkin's matrix in studies on Earth's gravitational potential

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F09%3A%230001585" target="_blank" >RIV/00025615:_____/09:#0001585 - 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

An approximation of ellipsoidal harmonics and the construction of Galerkin's matrix in studies on Earth's gravitational potential

Popis výsledku v původním jazyce

In gravity field studies the complex structure of the Earth?s surface makes the solution of potential problems rather demanding. Green?s functions, integral kernels, reproducing kernels of the respective Hilbert spaces, kernels associated with the integral equation method, but also linear (e.g. Galerkin?s) systems resulting from the use of direct methods are usually constructed for a boundary that is simplified in comparison with reality. The simplification has an essential impact on the convergence ofiteration procedures applied in this connection. Often a sphere is used, but it seems this is not an adequate choice. Attempt is made to work with an ellipsoid of revolution. Ellipsoidal harmonics come into play. The structure of the kernels mentioned above similarly as of the entries of Galerkin?s matrix becomes rather complex. Therefore, an approximation of ellipsoidal harmonics is used. The idea is applied to the construction of Green?s function, reproducing kernel and Galarkin?s matr

Název v anglickém jazyce

An approximation of ellipsoidal harmonics and the construction of Galerkin's matrix in studies on Earth's gravitational potential

Popis výsledku anglicky

In gravity field studies the complex structure of the Earth?s surface makes the solution of potential problems rather demanding. Green?s functions, integral kernels, reproducing kernels of the respective Hilbert spaces, kernels associated with the integral equation method, but also linear (e.g. Galerkin?s) systems resulting from the use of direct methods are usually constructed for a boundary that is simplified in comparison with reality. The simplification has an essential impact on the convergence ofiteration procedures applied in this connection. Often a sphere is used, but it seems this is not an adequate choice. Attempt is made to work with an ellipsoid of revolution. Ellipsoidal harmonics come into play. The structure of the kernels mentioned above similarly as of the entries of Galerkin?s matrix becomes rather complex. Therefore, an approximation of ellipsoidal harmonics is used. The idea is applied to the construction of Green?s function, reproducing kernel and Galarkin?s matr

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

Vídeň

Název nakladatele resp. objednatele

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Identifikační číslo nosiče

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