Shape Optimization And Optimal Design

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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.

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Editorial Reviews

Booknews
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)
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Product Details

Table of Contents

Preface 1
Contributors 5
Boundary Variations in the Navier-Stokes Equations and Lagrangian Functionals 7
Shape Sensitivity Analysis in the Maxwell's Equations 27
Tangential Calculus and Shape Derivatives 37
Slope Stability and Shape Optimization: Numerical Aspects 61
Parallel Solution of Contact Problems 73
Eulerian Derivative for Non-Cylindrical Functionals 87
Simultaneous Exact/Approximate Boundary Controllability of Thermo-Elastic Plates with Variable Transmission Coefficient 109
Shape Derivative on a Fractured Manifold 231
Shape Sensitivity Analysis of Problems with Singularities 255
Mapping Method in Optimal Shape Design Problems Governed by Hemivariational Inequalities 277
Existence of Free-Boundary for a Two Non-Newtonian Fluids Problem 289
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 2-D Systems 381
Asymptotic Analysis of Aircraft Wing Model in Subsonic Airflow 397
Weak Set Evolution and Variational Applications 415
Index 441
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