6533b7cffe1ef96bd1258386

RESEARCH PRODUCT

On State Constrained Optimal Shape Design Problems

Jaroslav HaslingerPekka NeittaanmäkiDan Tiba

subject

Optimal designDiscrete mathematicsShape designVariational inequalityConstrained optimizationState (functional analysis)Mathematics

description

This paper is concerned with the following optimal design problem with constraints both on the state and on the control: $$MinimizeJ(y,u)$$ (P) subject to $$A\left( u \right)y + \partial \varphi \left( y \right) \mathrel\backepsilon Bu + f,$$ (1.1) $$y \in K,$$ (1.2) $$u \in {U_{ad}}.$$ (1.3)

https://doi.org/10.1007/978-3-0348-7627-8_7