Numerical solution of the geodetic boundary value problem using the finite element method
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00236195" target="_blank" >RIV/68407700:21110/15:00236195 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Numerical solution of the geodetic boundary value problem using the finite element method
Popis výsledku v původním jazyce
Geopotential model of the Earth is usually calculated using the Stokes coefficients. The objective of this work is to design an alternative method of calculating the potential, which is based on the finite element method. For the purpose of numerical solution a computa- tional algorithm was designed and was subsequently implemented in the program in C ++. The success of the proposed method is demonstrated on several test problems, that are dis- cretized using isoparametric finite element with trilinearshape functions. After evaluating the results, the finite element method was found to be a suitable method for solving the geodetic boundary value problem. In future, we extend the calculation for the entire planet Earth and for the use of more complex areas such as reference ellipsoid.
Název v anglickém jazyce
Numerical solution of the geodetic boundary value problem using the finite element method
Popis výsledku anglicky
Geopotential model of the Earth is usually calculated using the Stokes coefficients. The objective of this work is to design an alternative method of calculating the potential, which is based on the finite element method. For the purpose of numerical solution a computa- tional algorithm was designed and was subsequently implemented in the program in C ++. The success of the proposed method is demonstrated on several test problems, that are dis- cretized using isoparametric finite element with trilinearshape functions. After evaluating the results, the finite element method was found to be a suitable method for solving the geodetic boundary value problem. In future, we extend the calculation for the entire planet Earth and for the use of more complex areas such as reference ellipsoid.
Klasifikace
Druh
O - Ostatní výsledky
CEP obor
DE - Zemský magnetismus, geodesie, geografie
OECD FORD obor
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Návaznosti výsledku
Projekt
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Návaznosti
S - Specificky vyzkum na vysokych skolach
Ostatní
Rok uplatnění
2015
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů