Summation of series and an approximation of Legendre?s functions in constructing integral kernels for the exterior of an ellipsoid: Application to boundary value problems in physical geodesy

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F15%3A%230002192" target="_blank" >RIV/00025615:_____/15:#0002192 - isvavai.cz</a>

Výsledek na webu

<a href="http://leibnizsozietaet.de/wp-content/uploads/2015/02/10-Petr-Holota-final.pdf" target="_blank" >http://leibnizsozietaet.de/wp-content/uploads/2015/02/10-Petr-Holota-final.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Summation of series and an approximation of Legendre?s functions in constructing integral kernels for the exterior of an ellipsoid: Application to boundary value problems in physical geodesy

Popis výsledku v původním jazyce

The paper primarily concerns physical geodesy applications and thus problems associated with Laplace?s and Poisson?s partial differential equation that offer a natural basis for gravity field studies. In the introduction a brief review is given on Green?s function constructed for Stokes? and Neumann?s problem formulated for the exterior of a sphere. The second of the problems is considered also within the weak solution concept. Galerkin elements are ex-pressed for the special case when the function basis is generated by the respective reproduc-ing kernel or represented by reciprocal distances (elementary potentials). The solution do-main is then generalized and the paper focuses on the construction of the reproducing kernel of Hilbert?s space of functions harmonic in the exterior of an oblate ellipsoid of revolution. In the first stage the kernel is represented by a series of ellipsoidal harmonics. However, the manipulation with the series and a numerical implementation of the integral

Název v anglickém jazyce

Summation of series and an approximation of Legendre?s functions in constructing integral kernels for the exterior of an ellipsoid: Application to boundary value problems in physical geodesy

Popis výsledku anglicky

The paper primarily concerns physical geodesy applications and thus problems associated with Laplace?s and Poisson?s partial differential equation that offer a natural basis for gravity field studies. In the introduction a brief review is given on Green?s function constructed for Stokes? and Neumann?s problem formulated for the exterior of a sphere. The second of the problems is considered also within the weak solution concept. Galerkin elements are ex-pressed for the special case when the function basis is generated by the respective reproduc-ing kernel or represented by reciprocal distances (elementary potentials). The solution do-main is then generalized and the paper focuses on the construction of the reproducing kernel of Hilbert?s space of functions harmonic in the exterior of an oblate ellipsoid of revolution. In the first stage the kernel is represented by a series of ellipsoidal harmonics. However, the manipulation with the series and a numerical implementation of the integral

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-34595S" target="_blank" >GA14-34595S: Matematické metody pro studium tíhového pole Země</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

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

ISBN

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Místo vydání

Berlin

Název nakladatele resp. objednatele

Leibniz Society of Science at Berlin

Verze

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Identifikační číslo nosiče

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