Titlebook: Optimal Control of Complex Structures; International Confer K.-H. Hoffmann,I. Lasiecka,F. Tröltzsch Conference proceedings 2002 Springer Ba

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Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equationsd. Assuming a sufficiently smooth state, formal adjoint and gradient equations are derived. For a vortex rebound model problem wall normal suction and blowing is used to minimize cost functionals of interest, here the kinetic energy at the final time.

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Fully Coupled Model of a Nonlinear Thin Plate Excited by Piezoelectric Actuators,l coupling between elastic deformations and electric fields is taken into consideration. Partial differential equations describing the model are stated and their solvability is proved. The question of homogenization when the number of the piezoelectric patches goes to infinity whereas their dimension goes to zero is investigated.

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Effects of Thickness on Sharp Trace Regularity for a Kirchhoff Plate with Free Boundary Conditions,thickness in the estimates. Microlocal analysis is used in the proof with an alternative localization to the one seen in the earlier work of Lasiecka and Triggiani. Knowledge of how thickness appears in the estimates has important implications in uniform stability for more complex systems which involve the Kirchhoff plate equation.

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The Interplay of Convection, Conduction and Phase Transition in a Shape-Memory-Alloy,e transition that is triggered by the supply of heat. Depending on parameters the wire may undergo a rapid transition to a stationary state, or a limit cycle in phase fraction and temperature, or a damped oscillation to a vortex point.

GENRE

A Gauss-Newton Method for the Identification of Nonlinear Heat Transfer Laws,his paper the theoretical background is investigated and numerical examples are discussed. The numerical experiences show that the algorithms proposed in the paper are suitable for problems having strongly perturbed data. Using stability estimates a posteriori estimates of the error are derived.