Variační nerovnice a minimalizace funkcionálů.
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Vysoká škola báňská - Technická univerzita Ostrava
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The thesis deals with variational inequalities, minimization of energy functionals, relatively deep abstract theory of functional analysis, which allows us to build non-trivial proof of the theorem, that guarantees the existence of solution of variational inequality. The application aspect of the thesis is focused on various numerical experiments. I also use the MPRGP algorithm, which was developed at the Department of Applied Mathematics, FEI VŠB TUO.
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variational inequality, energy functional, locally convex space, MPRGP, weak topology, weak closure