Zpřesnění numerického postupu pro přímé metody při určení tíhového potenciálu z pozemních údajů s iteracemi reprezentujícími malé efekty

Kód výsledku v IS VaVaI

RIV/00025615:_____/07:#0001448 - isvavai.cz

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Refinements of a numerical approach to direct methods in the determination of gravity potential from terrestrial data with iterations representing some small effects

Popis výsledku v původním jazyce

In the paper the numerical solution of the linear gravimetric boundary value problem is discussed. The problem is formulated in terms of the so-called weak solution and the approach follows principles of variational methods. It leads to Galerkin?s approximations. Radial basis functions were used for this purpose. The reproducing kernel proved to be very suitable for constructing systems of these functions. The boundary of the solution domain is the surface of the Earth. In order to reduce the demands associated with the computation of the elements in the matrix of Galerkin?s system an approximation matrix was used. The simplification is then compensated by means of successive approximations. The successive approximations express the topography effectsas well as effects caused by the obliqueness of the derivative in the boundary condition. The discussion is added extensive numerical simulations using gravity data derived from the EGM96.

Název v anglickém jazyce

Refinements of a numerical approach to direct methods in the determination of gravity potential from terrestrial data with iterations representing some small effects

Popis výsledku anglicky

In the paper the numerical solution of the linear gravimetric boundary value problem is discussed. The problem is formulated in terms of the so-called weak solution and the approach follows principles of variational methods. It leads to Galerkin?s approximations. Radial basis functions were used for this purpose. The reproducing kernel proved to be very suitable for constructing systems of these functions. The boundary of the solution domain is the surface of the Earth. In order to reduce the demands associated with the computation of the elements in the matrix of Galerkin?s system an approximation matrix was used. The simplification is then compensated by means of successive approximations. The successive approximations express the topography effectsas well as effects caused by the obliqueness of the derivative in the boundary condition. The discussion is added extensive numerical simulations using gravity data derived from the EGM96.

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

GA205/06/1330: Úlohy teorie potenciálu a metody jejich řešení při přesném studiu tíhového pole Země

Návaznosti

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

Rok uplatnění

2007

Kód důvěrnosti údajů

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

ISBN

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Název nakladatele resp. objednatele

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Verze

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Identifikační číslo nosiče

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