Reprodicing kernel and Galerkin's matrix for the exterior of an ellipsoid: Application in gravity field studies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F11%3A%230001777" target="_blank" >RIV/00025615:_____/11:#0001777 - 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

Reprodicing kernel and Galerkin's matrix for the exterior of an ellipsoid: Application in gravity field studies

Popis výsledku v původním jazyce

In the introductory part of the paper 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 respective boundary value problems are mentioned. Subsequently a weak formulation of Neumann?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 paper then focuses on the construction of the reproducing kernelfor the solution domain given by the exterior of an oblate ellipsoid of revolution. First its exact structure is derived by means of the apparatus of ellipsoidal harmonics. In this case the structure of the kernel, similarly as of the entries of Galerkin?s matrix, becomes rather complex. Therefore, an approximation of ellipsoidal harmonics (limit layer approach) based on an approximation version of Legendre?s ordinary differential equation, resulting from the method of separation of var

Název v anglickém jazyce

Reprodicing kernel and Galerkin's matrix for the exterior of an ellipsoid: Application in gravity field studies

Popis výsledku anglicky

In the introductory part of the paper 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 respective boundary value problems are mentioned. Subsequently a weak formulation of Neumann?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 paper then focuses on the construction of the reproducing kernelfor the solution domain given by the exterior of an oblate ellipsoid of revolution. First its exact structure is derived by means of the apparatus of ellipsoidal harmonics. In this case the structure of the kernel, similarly as of the entries of Galerkin?s matrix, becomes rather complex. Therefore, an approximation of ellipsoidal harmonics (limit layer approach) based on an approximation version of Legendre?s ordinary differential equation, resulting from the method of separation of var

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

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

2011

Kód důvěrnosti údajů

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

Název periodika

Studia Geophysica et Geodaetica

ISSN

0039-3169

e-ISSN

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Svazek periodika

55

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

17

Strana od-do

397-413

Kód UT WoS článku

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EID výsledku v databázi Scopus

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