Reproducing Kernel Hilbert Space for the Exterior of an Ellipsoid and the Method of Successive Approximations in Solving GBVPs

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F13%3A%230001898" target="_blank" >RIV/00025615:_____/13:#0001898 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Reproducing Kernel Hilbert Space for the Exterior of an Ellipsoid and the Method of Successive Approximations in Solving GBVPs

Popis výsledku v původním jazyce

The discussion starts with a general review of iteration concepts as applied for solving BVPs in gravity field studies. The subsequent explanations rest on the weak formulation of the problems. This enables a natural transition to an interpretation of the solution in terms of function bases. However, the need for an integration over the complicated surface of the Earth and an oblique derivative in the boundary condition make the computation of the entries in Galerkin?s matrix extremely demanding. Therefore, an alternative is considered. For constructing Galerkin?s approximations a function basis is generated by the reproducing kernel of the Hilbert space of functions that are harmonic outside an ellipsoid. Obviously, the method of successive approximations is then applied to account for corrections due to the departure of the real boundary from the ellipsoid and due to the obliqueness of the derivative in the boundary condition. The explanations concerning the construction and computat

Název v anglickém jazyce

Reproducing Kernel Hilbert Space for the Exterior of an Ellipsoid and the Method of Successive Approximations in Solving GBVPs

Popis výsledku anglicky

The discussion starts with a general review of iteration concepts as applied for solving BVPs in gravity field studies. The subsequent explanations rest on the weak formulation of the problems. This enables a natural transition to an interpretation of the solution in terms of function bases. However, the need for an integration over the complicated surface of the Earth and an oblique derivative in the boundary condition make the computation of the entries in Galerkin?s matrix extremely demanding. Therefore, an alternative is considered. For constructing Galerkin?s approximations a function basis is generated by the reproducing kernel of the Hilbert space of functions that are harmonic outside an ellipsoid. Obviously, the method of successive approximations is then applied to account for corrections due to the departure of the real boundary from the ellipsoid and due to the obliqueness of the derivative in the boundary condition. The explanations concerning the construction and computat

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

—

Projekt

<a href="/cs/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

ISBN

—

Místo vydání

Rome

Název nakladatele resp. objednatele

International Association of Geodesy

Verze

—

Identifikační číslo nosiče

—