N. N. Maksimova (Kushniruk), R. V. Namm, “Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method”, Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 1,Pages <nobr>24

This article is cited in 4 papers

Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method

N. N. Maksimova (Kushniruk)^a, R. V. Namm^b

^a Amur State University, Ignat'evskoe sh. 21, Blagoveshchensk, 675027 Russia
^b Pacific Ocean State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035 Russia

Abstract: The convergence of the finite element method in a stable smoothing algorithm for solving a model problem with given friction based on an iterative proximal regularization of the modified Lagrangian functional is analyzed. Numerical results are presented.

Key words: semicoercive model problem with friction, modified Lagrangian functional, saddle point method, iterative proximal regularization, finite element method.

UDC: 519.626

Received: 08.04.2011