Shape Optimization And Optimal Design

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John Cagnol, Michael P. Polis, Jean-Paul Zolesio
CRC Press, Feb 6, 2001 - Mathematics - 450 pages
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This 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

Boundary Variations in the NavierStokes Equations and Lagrangian Functionals
7
Shape Sensitivity Analysis in the Maxwells Equations
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

Shape Sensitivity Analysis of Problems with Singularities
255
Mapping Method in Optimal Shape Design Problems Governed by Hemivariational Inequalities
277
Existence of FreeBoundary for a Two NonNewtonian Fluids Problem
289

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About the author (2001)

J.-P. Zolesio is Research Director in Mathematics at the CNRS. He is member of the Institut Non Lineaire de Nice (INLN) associated with the Institut National de Recherche en Informatique et Automatique (INRIA) In Sophia Antipolis (France).

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