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Output circuit of difference relationships on the base of Lagrange variational principle. (Russian. English summary) Zbl 1324.70019

Authors’ summary: The analyses of the numerical methods of calculation of mechanics problems, based on the variational 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 the rectangular three-dimensional finite element, based on the variation of the problem statement, is developed.

MSC:

70G75 Variational methods for problems in mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems
70H99 Hamiltonian and Lagrangian mechanics
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
49J40 Variational inequalities
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