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UDC 519.853.2 + 519.632

© N. N. Maksimova, 2013

NUMERICAL INVESTIGATION OF VARIATIONAL PROBLEM IN MECHANICS USING THE DUALITY METHODS

The article describes the duality methods for solving the variational problem corresponding to a model problem of mechanics with friction. Numerical implementation of the algorithms is performed with the finite element approximation of the problem. The results of the numerical calculations are presented.

Keywords: model problem of mechanics with friction, dual scheme with a modified Lagrangian functional, Uzawa algorithm, multiplier method, finite element method.

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