Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems

Volume 29 / 2002

Ivan Hlaváček, Ján Lovíšek Applicationes Mathematicae 29 (2002), 75-95 MSC: 65N30, 74K20, 74P05, 93C30. DOI: 10.4064/am29-1-8


In addition to the optimal design and worst scenario problems formulated in a previous paper [3], approximate optimization problems are introduced, making use of the finite element method. The solvability of the approximate problems is proved on the basis of a general theorem of [3]. When the mesh size tends to zero, a subsequence of any sequence of approximate solutions converges uniformly to a solution of the continuous problem.


  • Ivan HlaváčekMathematical Institute
    Academy of Sciences of the Czech Republic
    Žitná 25
    CZ-115 67 Praha 1, Czech Republic
    Institute of Computer Science
    Pod vodárenskou věží 2
    CZ-182 07 Praha 8, Czech Republic
  • Ján LovíšekFaculty of Civil Engineering
    Slovak Technical University
    Radlinského 11
    SK-813 68 Bratislava, Slovak Republic

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