Least square method for solving contact problems with friction obeying the Coulomb law

Jaroslav Haslinger

Displaying similar documents to “Least square method for solving contact problems with friction obeying the Coulomb law”

On numerical solution of a variational inequality of the 4th order by finite element method

Jaroslav Haslinger (1978)

Aplikace matematiky

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The problem of a thin elastic plate, deflection of which is limited below by a rigid obstacle is solved. Using Ahlin's and Ari-Adini's elements on rectangles, the convergence is established and SOR method with constraints is proposed for numerical solution.

Finite element analysis for unilateral problems with obstacles on the boundary

Jaroslav Haslinger (1977)

Aplikace matematiky

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Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence $0 (h)$ for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution $u$ is given.

Mixed formulation of elliptic variational inequalities and its approximation

Jaroslav Haslinger (1981)

Aplikace matematiky

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The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian $2$ on a certain convex set $K x Λ$ . Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.