The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (2027 KB) | Metadata | Table of Contents | ZAA summary
Volume 18, Issue 4, 1999, pp. 895–938
DOI: 10.4171/ZAA/921

Published online: 1999-12-31

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

J. Lovíšek

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.

Keywords: Optimal control problems, singular perturbations in variational inequalities, convex sets, elastic plates with small rigidity, obstacles

Lovíšek J.: Optimal Control of a Variational Inequality with Application to the Kirchhoff Plate Having Small Flexural Rigidity. Z. Anal. Anwend. 18 (1999), 895-938. doi: 10.4171/ZAA/921