Development of the efficient and relialable numerical methods for engineering applicationsSupervisor: prof. RNDr. Karol Mikula, DrSc.
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|Project description:||Design, analysis and implementation of the original, efficient and relialable, numerical methods for complex engineering applications modelled by the nonlinear partial differential equations. Study of stability, convergence, error estimates and building serial and parallel implementations of the numerical methods. The algorithms will be based mainly on finite element, finite volume and boundary element methods and level-set and parametric approaches, and they will be applied to the mathematical models describing nonlinear thermomechanics, porous media flow and fluid dynamics with free boundaries driven by the external velocity field, anisotropy, surface and elastic energies, to the solution of direct and inverse problems of the flow, diffusion and transport with adsorption in the contaminant transport in grounwater flow, to the solution of geodetic boundary value problems, and to modeling of filtering and segmentation of 2D and 3D images based on the nonlinear anisotropic and geometrical diffusion equations.|
|Kind of project:||VEGA ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||Successfully completed|
|Project start date :||01. 01. 2009|
|Project close date:||31. 12. 2012|
|Number of workers in the project:||2|
|Number of official workers in the project:||0|