Domain Transformation and the Iteration Solution of the Linear Gravimetric Boundary Value Problem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F16%3AN0000040" target="_blank" >RIV/00025615:_____/16:N0000040 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/1345_2016_236" target="_blank" >http://dx.doi.org/10.1007/1345_2016_236</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/1345_2016_236" target="_blank" >10.1007/1345_2016_236</a>

Result language

angličtina

Original language name

Domain Transformation and the Iteration Solution of the Linear Gravimetric Boundary Value Problem

Original language description

The aim of this paper is to discuss the solution of the simple gravimetric boundary value problem by means of the method of successive approximations. A transformation of coordinates is used to express the relation between the description of the boundary of the solution domain and the structure of Laplace’s operator. The solution domain is carried onto the exterior of a sphere and the original oblique derivative boundary condition is given the form of Neumann’s boundary condition. Laplace’s operator expressed in terms of new coordinates involves topography-dependent coefficients. Effects caused by the topography of the physical surface of the Earth are treated as perturbations. Their internal structure is analyzed and modified by using integration by parts. As a result of the transformation a spherical mathematical apparatus may be applied at each iteration step, including the spherical form of Green’s function of the second kind, i.e. Neumann’s function in the integral representation of the successive approximations.

Czech name

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Czech description

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Type

D - Article in proceedings

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

2016

Confidentiality

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

Article name in the collection

Proceedings of the IAG General Assembly, Prague

ISBN

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ISSN

0939-9585

e-ISSN

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Number of pages

6

Pages from-to

1-6

Publisher name

Springer

Place of publication

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Event location

Prague

Event date

Jun 22, 2015

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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