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

Result code in 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>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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

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

<a href="/en/project/LC506" target="_blank" >LC506: Recent dynamics of the Earth</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

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

55

Issue of the periodical within the volume

3

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

17

Pages from-to

397-413

UT code for WoS article

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EID of the result in the Scopus database

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