Finite Element Approximation of Vector-Valued HemivariationalProblems

  • Authors:

  • M. Miettinen;J. Haslinger

  • Affiliations:

  • Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 12000 Praha 2, Czech Republic/ and Laboratory of Scientific Computing, Department of Mathematics, University of Jyvä/skyl& ...;Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 12000 Praha 2, Czech Republic/ and Laboratory of Scientific Computing, Department of Mathematics, University of Jyvä/skyl& ...

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 1997

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Abstract

In this paper we develop a finite element approximationfor vector-valuedhemivariational inequalities.This class of hemivariational problems wasintroducedin [12],[13]. We study two differentproblems: unconstrained oneand constrained one witha nonempty, closed, convex constraint set K.We shall show firstly that the discrete problemsare solvable by usingconsequences of Kakutanifixed point theorem and secondly that the solutionsof the discrete problemsare close on subsequences to the continuous ones.