A frictionless contact problem for viscoelastic materials.
Barboteu, Mikäel, Han, Weimin, Sofonea, Mircea (2002)
Journal of Applied Mathematics
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Barboteu, Mikäel, Han, Weimin, Sofonea, Mircea (2002)
Journal of Applied Mathematics
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Jiří Nedoma (1983)
Aplikace matematiky
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In the paper the Signorini problem without friction in the linear thermoelasticity for the steady-state case is investigated. The problem discussed is the model geodynamical problem, physical analysis of which is based on the plate tectonic hypothesis and the theory of thermoelasticity. The existence and unicity of the solution of the Signorini problem without friction for the steady-state case in the linear thermoelasticity as well as its finite element approximation is proved. It is...
Jaroslav Haslinger (1979)
Commentationes Mathematicae Universitatis Carolinae
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Ivan Hlaváček, Ján Lovíšek (1977)
Aplikace matematiky
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Van Bon Tran (1988)
Aplikace matematiky
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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.