May 24, 2019   3:16 a.m. Ela
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Effective numerical methods for the solution of geometric partial differential equations

Supervisor: doc. RNDr. Peter Frolkovič, PhD.


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Project description:Many engineering applications require effective numerical solutions of the so called geometric partial differential equations that describe the evolution of curves and surfaces as dependent on their geometric properties and on the properties of external environment. Here belong especially the applications that include explicitly an evolution of free boundaries or phase interfaces (like flows of immiscible fluids or fire spreading) or that use an evolution of curves and surfaces implicitly to recognize objects in large data sets like the segmentation of images arising from biomedical measurements. The aim of the project is the research of such large class of models described by similar geometric partial differential equations, the development of origin numerical methods for their solutions, including their implementation to prove the effectiveness for some particular problems from engineering practice and from data postprocessing of biomedical measurements.
Kind of project:VEGA ()
Department:Department of Mathematics and Constructive Geometry (FCE)
Project identification:1/0733/10
Project status:Successfully completed
Project start date :01. 01. 2010
Project close date:31. 12. 2011
Number of workers in the project:2
Number of official workers in the project:0