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					             Article information  
            2008 ,  Volume 13, ¹ 3, p.65-80
 Karabtcev S.N., Stukolov S.V.
Construction of Voronoi diagrams and defining the area boundary for natural element methods
In the present work, we present the algorithms for a fast construction of the Voronoi diagram and Delaunay triangulation. For determination  of a  boundary of the numerical domain, the alpha-shape algorithm is used. A comparison of the computational speed of the proposed algorithm and its theoretical estimation is carried out. The proposed algorithms are applied to a natural element method for solving  fluid dynamics problems with free surfaces.
 [full text] Author(s): Karabtcev S.N. Position: Student Address: Russia, Kemerovo 
Phone Office: (3842) 58 33 41 E-mail: skarab@kemsu.ru Stukolov Sergei Vladimirovich PhD. , Associate Professor Position: Associate Professor Office: Kemerovo State University Address: 650043, Russia, Kemerovo, Krasnaya str. 6 
E-mail: serg@kemsu.ru
   Bibliography link:  Karabtcev S.N., Stukolov S.V. Construction of Voronoi diagrams and defining the area boundary for natural element methods // Computational technologies. 2008. V. 13. ¹ 3. P. 65-80 					
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