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

Result code in 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>

Result on the web

<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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Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

A - Audiovisual production

CEP classification

DE - Earth magnetism, geodesy, geography

OECD FORD branch

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Project

<a href="/en/project/GA14-34595S" target="_blank" >GA14-34595S: Mathematical methods for Earth’s gravity field studies</a><br>

Continuities

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

Publication year

2015

Confidentiality

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

ISBN

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Place of publication

Berlin

Publisher/client name

Leibniz Society of Science at Berlin

Version

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Carrier ID

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