Estimated from GPS observations velocities of GPS-stations were used to obtain 2D-model velocities and strain rate field in the Eastern Europe. The study of the velocities field in the region was done in a few steps. The first one consists of the development of the finite element approach on the geosphere based on bicubic spline functions and least squares collocation method for the interpolation scattered GPS-data to the regular nodes. The second one represents the inversion of velocities from GPS-observations to the strain rate tensor. In order to test this approach we chose to apply it to an Eastern Europe where such problem was not solved before. This region is not extensively instrumented as yet but it is well studied by a geological and geophysical data. Test is based on derived in the Research Institute of Geodesy and Cartography (Kyiv, Ukraine) solution of GPS-observations data processing for the region. Finally the full eigenvalue/eigenvector solution for deformations velocity tensor of concerned territory is preformed and analyzed.
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