JournalszaaVol. 18, No. 4pp. 895–938

Optimal Control of a Variational Inequality with Application to the Kirchhoff Plate Having Small Flexural Rigidity

  • J. Lovíšek

    Slovak University of Technology, Bratislava, Slovak Republic
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Abstract

This paper concerns an optimal control problem of elliptic singular perturbations in variational inequalities (with controls appearing in coefficients, right-hand sides and convex sets of states as well). The existence of an optimal control is verified. The applications to the optimal design of an elastic plate with a small rigidity and with inner (or moving) obstacle a primal finite element model is applied and convergence result is obtained.

Cite this article

J. Lovíšek, Optimal Control of a Variational Inequality with Application to the Kirchhoff Plate Having Small Flexural Rigidity. Z. Anal. Anwend. 18 (1999), no. 4, pp. 895–938

DOI 10.4171/ZAA/921