Development of new numerical methods for engineering applicationsSupervisor: prof. RNDr. Karol Mikula, DrSc.
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|Project description:||Design, analysis and serial and parallel implementation of the original Lagrangian and Eulerian numerical methods for engineering applications modelled by nonlinear partial differential equations. The suggested numerical methods will be efficient stable and robust and applied in fluid flow and heat transfer with free boundaries, free-form constructions design in civil engineering and architecture, image filtering and segmentation, surface reconstruction from point clouds, modelling of forest fire propagation and in nonlinear problems of physical geodesy related to precise determination of Earth gravity field and geoid reconstruction. Based on novel tangential redistributions of discrete points in Lagrangean methods for evolving surfaces we will build optimal discretizations of computational domains, which is a crucial point in numerical solution of partial differential equations, and optimal triangulation of surfaces, which is the basic task of computational geometry, computer graphics and CAD technologies.|
|Kind of project:||VEGA ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||In process of execution|
|Project start date :||01. 01. 2015|
|Project close date:||31. 12. 2018|
|Number of workers in the project:||2|
|Number of official workers in the project:||0|