Domain transformation and the iteration solution of boundary value problems in gravity field studies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F15%3A%230002197" target="_blank" >RIV/00025615:_____/15:#0002197 - 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
Domain transformation and the iteration solution of boundary value problems in gravity field studies
Original language description
In this paper, when treating boundary value problems in gravity field studies, the geometry of the physical surface of the Earth is seen in relation to the structure of the Laplace operator. This approach may be applied to classical problems as well as to combinations of terrestrial and satellite data. Similarly as in other branches of engineering and mathematical physics a transformation of coordinates is used that offers a possibility to solve an alternative between the boundary complexity and the complexity of the coefficients of the partial differential equation governing the solution. For instance the Laplace operator has a relatively simple structure in terms of spherical or ellipsoidal coordinates which are frequently used in geodesy. However, the physical surface of the Earth substantially differs from a sphere or an oblate ellipsoid of revolution, even if these are optimally fitted. The situation may be more convenient in a system of general curvilinear coordinates such that t
Czech name
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Czech description
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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

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