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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i9.50
pages 42-62

Implementation of the Finite Element Method with Optimal Choice of Basic Functions for Dirichlet Problem for Poisson Equation

Oleg N. Lytvyn
Ukrainian Engineering and Pedagogical Academy, Kharkov
Konstantin V. Nosov
V.N. Karazin Kharkov National University, Kharkov
Tatyana A. Baranova
National Technical University "Kharkov Polytechnic Institute", Kharkov

RÉSUMÉ

The paper deals with the scheme of the finite element method with the choice of basic functions for elliptic boundary value problem. The main feature of this scheme is that the basic functions forming an approximate solution are not fixed in advance but should be calculated along with the values of node parameters. Computational experiment demonstrated that the scheme had a much higher accuracy compared with conventional schemes for which the basic functions are fixed.


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