Approximation and numerical solution of contact problems with friction
- 1 January 1983
- journal article
- Published by Institute of Mathematics, Czech Academy of Sciences in Applications of Mathematics
- Vol. 28 (1), 55-71
- https://doi.org/10.21136/am.1983.104002
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 $\Cal L$ 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.