Efficient numerical methods applied to the gravity field modelling of the Earth and the realization of the global vertical reference systemSupervisor: prof. RNDr. Karol Mikula, DrSc.
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|Project description:||The project deals with a solution of the geodetic boundary value problem using efficient and robust numerical methods. It results in the global as well as local gravity field modelling of the Earth. An application of the boundary element method to the geodetic boundary value problem with the Neumann boundary conditions in the form of gravity disturbances represents a new approach in geodesy. Such approach leads to a determination of the gravity potential directly on the Earth?s surface as well as on the oceans, which is an important issue in the unification of the national vertical systems and the realization of the global vertical reference system. Computational solutions using parallel computers and the application of efficient numerical methods (e.g., appropriate discretization techniques, an elimination of the far zones? interactions using the fast multipole methods) allow to obtain precise results. The aim of the project is to propose the appropriate mathematical model followed by its numerical realization and to achieve precise geodetic results useful for the geodetic community. The achievement of the global and local quasigeoid models as well as determination of the gravity potential on the Earth?s surface will represent practical outcome of the project.|
|Kind of project:||APVV ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||Successfully completed|
|Project start date :||01. 02. 2006|
|Project close date:||30. 11. 2009|
|Number of workers in the project:||3|
|Number of official workers in the project:||0|