Elementary potentials and Galerkin?s matrix for an ellipsoidal domain in the recovery of the gravity field

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F15%3A%230002196" target="_blank" >RIV/00025615:_____/15:#0002196 - isvavai.cz</a>

Result on the web

<a href="http://www.czech-in.org/cmdownload/IUGG2015/presentations/IUGG-5236.pdf" target="_blank" >http://www.czech-in.org/cmdownload/IUGG2015/presentations/IUGG-5236.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Elementary potentials and Galerkin?s matrix for an ellipsoidal domain in the recovery of the gravity field

Original language description

The motivation comes from the role of boundary value problems in Earth?s gravity field studies. The focus is on Neumann?s problem in the exterior of an oblate ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of the problem is approximated by linear combinations of basis functions with scalar coefficients, i.e. by Galerkin approximations. The aim is to discuss the construction of Galerkin?s matrix for elementary potentialsused in quality of a function basis. The computation of the entries of Galerkin?s matrix is expected to be simple for the elementary functions like these. Nevertheless, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem, however, is the summation of the series that represent the entries. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for spherical harmonics. Thi

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

Praha

Publisher/client name

International Union of Geodesy and Geophysics

Version

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Carrier ID

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