Reproducing Kernel and Neumann?s Function for the Exterior of an Oblate Ellipsoid of Revolution: Application in Gravity Field Studies

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F14%3A%230002079" target="_blank" >RIV/00025615:_____/14:#0002079 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s11200-013-0861-3" target="_blank" >http://dx.doi.org/10.1007/s11200-013-0861-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11200-013-0861-3" target="_blank" >10.1007/s11200-013-0861-3</a>

Result language

angličtina

Original language name

Reproducing Kernel and Neumann?s Function for the Exterior of an Oblate Ellipsoid of Revolution: Application in Gravity Field Studies

Original language description

The purpose of this paper is to discuss the construction of the reproducing kernel of Hilbert?s space of functions that are harmonic in the exterior of an oblate ellipsoid of revolution. The motivation comes from the weak solution concept applied to Neumann?s problem for Laplace?s partial differential equation in gravity field studies. The use of the reproducing kernel enables the construction of a function basis that is suitable for the approximation representation of the solution and offers a straightforward way leading to entries in Galerkin?s matrix of the respective linear system for unknown scalar coefficients. The serious problem, however, is the 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 no straightforward analogue to the addition theorem known for the spherical situation. This makes the computation of the kernel and the set of the entries in Galerkin?s matrix rather demand

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

DE - Earth magnetism, geodesy, geography

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2014

Confidentiality

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

Name of the periodical

Studia Geophysica et Geodaetica

ISSN

0039-3169

e-ISSN

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Volume of the periodical

58

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

31

Pages from-to

505-535

UT code for WoS article

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EID of the result in the Scopus database

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