Shape Optimization And Optimal Design  book cover
1st Edition

Shape Optimization And Optimal Design





ISBN 9780824705565
Published February 6, 2001 by CRC Press
450 Pages

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Book Description

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.

Table of Contents

Boundary variations in the Navier-Stokes equations and Langrangian functionals; shape sensitivity analysis in the Maxwell's equations; tangential calculus and shape derivatives; slope stability and shape optimization - numerical aspects; parallel solution of contact problems; Eulerian derivative for noncylindrical functionals; simultaneous exact/approximate boundary controllability of thermo-elastic plates with variable transmission coefficient; shape derivative on a fractured manifold; shape sensitivity analysis of problems with singularities; mapping method in optimal shape design problems governed by hemivariational inequalities; existence of free-boundary for a two non-Newtonian fluids problem; some new problems occurring in modelling of oxygen sensors; adaptive control of a wake flow using proper orthogonal decomposition; nonlinear boundary feedback stabilization of dynamic elasticity with thermal effects; domain optimization for unilateral problems by an embedding domain method; feedback laws for the optimal control of parabolic variational inequalities; application of special smoothing procedure to numerical solutions of inverse problems for real 2-D systems; asymtotic analysis of aircraft wing model in subsonic airflow; weak set evolution and variational applications.

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Editor(s)

Biography

John Cagnol (Pole Universitaire Leonard de Vinci, Paris, France) (Edited by) , Michael P. Polis (Oakland University, Rochester, Michigan, USA) (Edited by) , Jean-Paul Zolesio (CNRS, Sophia Antipolis, France) (Edited by)