Approximation and numerical solution of contact problems with friction

Haslinger, Jaroslav, and Tvrdý, Miroslav. "Approximation and numerical solution of contact problems with friction." Aplikace matematiky 28.1 (1983): 55-71. <http://eudml.org/doc/15274>.

@article{Haslinger1983,
abstract = {The present paper deals with numerical solution of the contact problem with given friction. By a suitable choice of multipliers the whole problem is transformed to that of finding a saddle-point of the Lagrangian function $\mathcal \{L\}$ on a certain convex set $K\times \Lambda $. The approximation of this saddle-point is defined, the convergence is proved and the rate of convergence established. For the numerical realization Uzawa’s algorithm is used. Some examples are given in the conclusion.},
author = {Haslinger, Jaroslav, Tvrdý, Miroslav},
journal = {Aplikace matematiky},
keywords = {suitable choice of multipliers; saddle-point of Lagrangian function; certain convex set; approximation; rate of convergence; Uzawa’s algorithm; plane problem; linear-elastic body; rigid foundation; influence of friction; minimum of non-differentiable functional; suitable choice of multipliers; saddle-point of Lagrangian function; certain convex set; approximation; rate of convergence; Uzawa's algorithm; plane problem; linear-elastic body; rigid foundation; influence of friction; minimum of non-differentiable functional},
language = {eng},
number = {1},
pages = {55-71},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Approximation and numerical solution of contact problems with friction},
url = {http://eudml.org/doc/15274},
volume = {28},
year = {1983},
}

TY - JOUR
AU - Haslinger, Jaroslav
AU - Tvrdý, Miroslav
TI - Approximation and numerical solution of contact problems with friction
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 1
SP - 55
EP - 71
AB - The present paper deals with numerical solution of the contact problem with given friction. By a suitable choice of multipliers the whole problem is transformed to that of finding a saddle-point of the Lagrangian function $\mathcal {L}$ on a certain convex set $K\times \Lambda $. The approximation of this saddle-point is defined, the convergence is proved and the rate of convergence established. For the numerical realization Uzawa’s algorithm is used. Some examples are given in the conclusion.
LA - eng
KW - suitable choice of multipliers; saddle-point of Lagrangian function; certain convex set; approximation; rate of convergence; Uzawa’s algorithm; plane problem; linear-elastic body; rigid foundation; influence of friction; minimum of non-differentiable functional; suitable choice of multipliers; saddle-point of Lagrangian function; certain convex set; approximation; rate of convergence; Uzawa's algorithm; plane problem; linear-elastic body; rigid foundation; influence of friction; minimum of non-differentiable functional
UR - http://eudml.org/doc/15274
ER -