Shape Optimization And Optimal Design

John Cagnol, Michael P. Polis, Jean-Paul Zolesio

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English

CRC Press Inc
06 February 2001

Differential calculus & equations; Algebraic topology; Maths for engineers; Automatic control engineering

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.

Edited by: John Cagnol, Michael P. Polis, Jean-Paul Zolesio
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 216
Dimensions: Height: 280mm, Width: 210mm, Spine: 23mm
Weight: 771g
ISBN: 9780824705565
ISBN 10: 0824705564
Pages: 450
Publication Date: 06 February 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

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.

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)