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.
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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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

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