Shape Optimization And Optimal Design / Edition 1

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

Overview

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.

Product Details

ISBN-13:	9780824705565
Publisher:	Taylor & Francis
Publication date:	02/06/2001
Series:	Lecture Notes in Pure and Applied Mathematics Ser. , #216
Pages:	450
Product dimensions:	8.25(w) x 11.00(h) x (d)

About the Author

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)

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.

Editorial Reviews

International scholars present their research in modeling passive and active control systems governed by partial differential equations. The papers emphasize shape analysis, optimal shape design, controllability, nonlinear boundary control, and stabilization. Specific topics include shape derivative on a fractured manifold, shape sensitivity analysis of problems with singularities, feedback laws for the optimal control of parabolic variational inequalities, and asymptotic analysis of aircraft wing models in subsonic airflow. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews