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

Ivan Hlaváček; Ján Lovíšek

Applicationes Mathematicae (2002)

  • Volume: 29, Issue: 1, page 75-95
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Ivan Hlaváček, and Ján Lovíšek. "Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems." Applicationes Mathematicae 29.1 (2002): 75-95. <http://eudml.org/doc/279558>.

@article{IvanHlaváček2002,
abstract = {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.},
author = {Ivan Hlaváček, Ján Lovíšek},
journal = {Applicationes Mathematicae},
keywords = {variational inequalities; weight optimization; convergence; existence},
language = {eng},
number = {1},
pages = {75-95},
title = {Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems},
url = {http://eudml.org/doc/279558},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Ivan Hlaváček
AU - Ján Lovíšek
TI - Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 1
SP - 75
EP - 95
AB - 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.
LA - eng
KW - variational inequalities; weight optimization; convergence; existence
UR - http://eudml.org/doc/279558
ER -

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