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Numerical solution of the geodetic boundary value problem using the finite element method

The result's identifiers

  • Result code in 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>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical solution of the geodetic boundary value problem using the finite element method

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    DE - Earth magnetism, geodesy, geography

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

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