## Shape Optimization And Optimal DesignThis volume presents developments and advances in modelling passive and active control systems governed by partial differential equations. It emphasizes shape analysis, optimal shape design, controllability, nonlinear boundary control, and stabilization. The authors include essential data on exact boundary controllability of thermoelastic plates with variable transmission coefficients. |

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### Contents

7 | |

27 | |

Tangential Calculus and Shape Derivatives | 37 |

Numerical Aspects | 61 |

Parallel Solution of Contact Problems | 73 |

Eulerian Derivative for NonCylindrical Functionals | 87 |

Simultaneous ExactApproximate Boundary Controllability of ThermoElastic Plates with Variable Transmission Coefficient | 109 |

Shape Derivative on a Fractured Manifold | 231 |

Some New Problems Occurring in Modeling of Oxygen Sensors | 301 |

Adaptive Control of a Wake Flow Using Proper Orthogonal Decomposition | 317 |

Nonlinear Boundary Feedback Stabilization of Dynamic Elasticity with Thermal Effects | 333 |

Domain Optimization for Unilateral Problems by an Embedding Domain Method | 355 |

Feedback Laws for the Optimal Control of Parabolic Variational Inequalities | 371 |

Application of Special Smoothing Procedure to Numerical Solutions of Inverse Problems for Real 2D Systems | 381 |

Asymptotic Analysis of Aircraft Wing Model in Subsonic Airflow | 397 |

Weak Set Evolution and Variational Applications | 415 |

### Other editions - View all

Shape Optimization And Optimal Design John Cagnol,Michael P. Polis,Jean-Paul Zolesio No preview available - 2001 |

### Common terms and phrases

adjoint algorithm Analysis apply approximation assume assumption asymptotic boundary conditions boundary controls bounded calculations Carleman estimate Cauchy data characteristic function clamped B.C. coefficients compact compute consider control problem convergence corresponding cost functional decomposition defined denote Differential Equations domain duality dxdt dynamic Eulerian exact controllability exists finite formula geometry given Green's formula hinged B.C. initial condition integral inverse problems Jean-Paul Zolesio Kirchoff Lagrangian Lasiecka Lemma Lie bracket linear mapping Mathematics matrix method Moreover Navier-Stokes Equations nonlinear norm numerical obtain open set open subset operator optimal control optimal shape optimization problem parameter Partial Differential Equations perturbation proof of Theorem Proposition prove respect result satisfies semiderivative semigroup shape derivative Shape Gradient shape optimization smooth Sobolev spaces solution solve space Step tangential term Theory thermo-elastic plate topology variable vector field velocity wave equation weakly yields