Geodesic
Approximation and numerical solution of contact problems with friction
Applications of Mathematics, Tome 28 (1983) no. 1, pp. 55-71.

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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.
DOI : 10.21136/AM.1983.104002
Classification : 49J40, 65N30, 73-08, 73T05, 74A55, 74G30, 74H25, 74M15, 74S05, 74S30, 74S99
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 
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     title = {Approximation and numerical solution of contact problems with friction},
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Haslinger, Jaroslav; Tvrdý, Miroslav. Approximation and numerical solution of contact problems with friction. Applications of Mathematics, Tome 28 (1983) no. 1, pp. 55-71. doi : 10.21136/AM.1983.104002. http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104002/

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