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 Matem. Mod., 2018, Volume 30, Number 2, Pages 119–129 (Mi mm3943)

Method of creation of multi-connected area's finite element representation

A. M. Polatov

National University of Uzbekistan

Abstract: Description of method of finite element mesh construction of multi-connected areas has been given in this article. Finite element mesh of the area configuration is described by discrete set, consisting of the number of nodes and elements of the finite element mesh, arranged sets of node coordinates and node numbers on the finite elements. For the proof of a correctness of a method of the solution the appropriate theorems are provided. Adequacy of finite element model of topology of the multi-connected area is shown. Combining subareas is performed on the basis of boundary nodes' coincidence criteria through the establishment of a simple hierarchy of volumes, surfaces, lines and points. Renumbering of nodes is carried out by usage of Frontal Method, where edge nodes are used as starting nodes.

Keywords: method, finite element, mesh, numbering, arrangement, node, peak, edge, front, algorithm, multi-connected, areas.

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Revised: 17.04.2017

Citation: A. M. Polatov, “Method of creation of multi-connected area's finite element representation”, Matem. Mod., 30:2 (2018), 119–129

Citation in format AMSBIB
\Bibitem{Pol18} \by A.~M.~Polatov \paper Method of creation of multi-connected area's finite element representation \jour Matem. Mod. \yr 2018 \vol 30 \issue 2 \pages 119--129 \mathnet{http://mi.mathnet.ru/mm3943} \elib{https://elibrary.ru/item.asp?id=32497621}