Numerical modelling in geodesySupervisor: prof. RNDr. Karol Mikula, DrSc.
This page shows details on the project. The primary projects are displayed together with a list of sub-projects.
|Project description:||This project will mainly deal with a development of new efficient and precise parallel numerical algorithms for solving geodetic boundary value problems with a goal to determine the geoid and the Earth gravity field with the highest resolution. With this goal, the mathematical models in the form of oblique derivative boundary value problems for partial differential equations (PDEs) will be studied and their efficient and precise numerical implementations using finite element, finite volume and boundary element methods will be built. Further challenging aim of the project is a development of new models based on nonlinear diffusion equations for filtering geodetic data on surfaces. To that goal, new numerical methods for solving nonlinear PDEs on surfaces, like the real Earth topography, will be developed. The third important objective in the project will be a development of new nonlinear advection-diffusion models and level-set methods for robust and precise surface reconstructions from given discrete data sets, for example from 3D scanner point clouds, and their applications in geodesy.|
|Kind of project:||APVV - Všeobecná výzva ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||Successfully completed|
|Project start date :||01. 07. 2012|
|Project close date:||31. 12. 2015|
|Number of workers in the project:||2|
|Number of official workers in the project:||0|