UDC 519.68

© R.V.Namm, A.S.Tkachenko, 2010

ON SMOOTHING DUAL METHOD FOR SOLVING MODEL PROBLEM WITH SET FRICTION

Variational problems of minimization of non-differentiable functionals often appear in mechanics problems which include friction. The finite-element approximation of these problems leads to the finite-dimension convex problem of a non-smooth optimization [1], [2]. Standard ways of solving these problems are considered in [3], [4], [5]. A solution technique of the semicoercive problem with set friction that allows one to smooth an auxiliary functional at every iterative process step is investigated.

Keywords: functional, saddle point, iterative regularization, triangulation, finite elements, friction

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	Main page News Editorial staff For authors Subscription Archive Site map Russian version Search:	UDC 519.68 © R.V.Namm, A.S.Tkachenko, 2010 ON SMOOTHING DUAL METHOD FOR SOLVING MODEL PROBLEM WITH SET FRICTION Variational problems of minimization of non-differentiable functionals often appear in mechanics problems which include friction. The finite-element approximation of these problems leads to the finite-dimension convex problem of a non-smooth optimization [1], [2]. Standard ways of solving these problems are considered in [3], [4], [5]. A solution technique of the semicoercive problem with set friction that allows one to smooth an auxiliary functional at every iterative process step is investigated. Keywords: functional, saddle point, iterative regularization, triangulation, finite elements, friction Download article (238.9 Kb) Сontents

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