Dual finite element analysis for semi-coercive unilateral boundary value problems
Ivan Hlaváček (1978)
Aplikace matematiky
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Displaying similar documents to “Dual finite element analysis for elliptic problems with obstacles on the boundary. I”
Dual finite element analysis for semi-coercive unilateral boundary value problems
Contact between elastic bodies. II. Finite element analysis
Jaroslav Haslinger, Ivan Hlaváček (1981)
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The paper deals with the approximation of contact problems of two elastic bodies by finite element method. Using piecewise linear finite elements, some error estimates are derived, assuming that the exact solution is sufficiently smooth. If the solution is not regular, the convergence itself is proven. This analysis is given for two types of contact problems: with a bounded contact zone and with enlarging contact zone.
Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary
Van Bon Tran (1988)
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The Poisson equation with non-homogeneous unilateral condition on the boundary is solved by means of finite elements. The primal variational problem is approximated on the basis of linear triangular elements, and -convergence is proved provided the exact solution is regular enough. For the dual problem piecewise linear divergence-free approximations are employed and -convergence proved for a regular solution. Some a posteriori error estimates are also presented.
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.