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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2014 Volume 26, Number 12, Pages 127–136 (Mi mm3559)

Output circuit of difference relationships on the base of Lagrange variation principle

V. I. Mezhuyev, V. V. Lavrik

Berdyansk State Pedagogical University, Berdyansk, Ukraine

Abstract: The analyses of the numerical methods of calculation of mechanics problems, based on the variation principle of Lagrange, such as the Finite Element Method (FEM) and the method of Moment Schema Finite Elements (MSFE), is given in the paper. The general formula to find the stiffness matrix of finite elements for MSFE is developed. The model of calculation of the energy functional of rectangular three-dimensional finite element, based on the variation of the problem statement, is developed.

Keywords: finite element method, method of moment schema finite elements, variation, stiffness matrix, finite element.

Received: 19.02.2013



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