Control And Boundary Analysis

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9781574445947 | 1574445944
Cover: Nonspecific Binding
Copyright: 3/4/2005

Rent

(Recommended)

$188.37

Term

Due

Price

Semester

Dec 13

$198.28

Quarter

Aug 16

$188.37

Short Term

Jul 2

$178.45

*This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.
Buy New

Usually Ships in 3-5 Business Days

$270.89
eBook

Available Instantly

Online: 180 Days

Downloadable: 180 Days

$201.09

This volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving boundaries, and topological shape optimization. This edition discusses all developments that lead to current moving boundary analysis and the stochastic approach.

Operator-Splitting Methods and Applications to the Direct Numerical Simulation of Particulate Flow and to the Solution of the Elliptic Monge-Ampere Equation

(28)

Edward J. Dean

Roland Glowinski

Tsorng-Whay Pan

Operator-Splitting Schemes for the Time-Discretization of Initial Value Problems

(4)

Operator-Splitting Methods for the Direct Numerical Simulation of Particulate Flow

(8)

An Operator-Splitting Method for the Elliptic Monge-Ampere Equations in Two-Dimension

(15)

Dynamical Shape Sensitivity

(8)

Marwan Moubachir

Jean-Paul Zolesio

Introduction

(1)

Mechanical Problem

(1)

Inverse Problem

(2)

Dynamical Shape Sensitivity of the Fluid

(3)

Conclusion

(1)

Optimal Control of a Structural Acoustic Model with Flexible Curved Walls

(16)

John Cagnol

Catherine Lebiedzik

Introduction

(1)

Background and Literature

(1)

Statement of Main Results

(2)

Intrinsic Geometry

(1)

The Unforced, Conservative Shell Model

(3)

Structurally Damped, Forced Shell Wall of an Acoustic Chamber

(2)

Optimal Control Problem

(1)

Proof of Lemma 3

(5)

Nonlinear Wave Equations with Degenerate Damping and Source Terms

(10)

Viorel Barbu

Irena Lasiecka

Mohammad A. Rammaha

Definitions and Main Results

(3)

Outline of the Proof of Theorem 3

(5)

Numerical Modeling of Phase Change Problems

(10)

Andre Fortin

Youssef Belhamadia

Stefan Problem and Semi-Phase-Field Formulation

(1)

Finite Element Discretization

(1)

Adaptive Strategy

(1)

Numerical Results

(1)

Conclusions

(6)

Shape Optimization of Free Air-Porous Media Transmission Coefficient

(12)

Arian Novruzi

Computation of the Porous Shape

(5)

Optimal Porous Shape Domain

(4)

The Uniform Fat Segment and Uniform Cusp Properties in Shape Optimization

(12)

Michel C. Delfour

Nicolas Doyon

Jean-Paul Zolesio

Preliminaries: Topologies on Families of Sets

(1)

The New Uniform Fat Segment Property

(4)

Equivalence of the Uniform Cusp and Fat Segment Properties

(6)

Topology Optimization for Unilateral Problems

(10)

Jan Sokolowski

Antoni Zochowski

Transformations of the Energy Functional for the Laplace Equation

(4)

Signorini Problem

102

(5)

Second Order Lagrange Multiplier Approximation for Constrained Shape Optimization Problems

107

(12)

Karsten Eppler

Helmut Harbrecht

Shape Optimization

108

(4)

Optimization of Constrained Problems

112

(2)

Numerical Results

114

(5)

Mathematical Models of ``Active'' Obstacles in Acoustic Scattering

119

(12)

Lorella Fatone

Maria Cristina Recchioni

Francesco Zirilli

The Mathematical Models of the Masking and Ghost Obstacle Problems

122

(3)

The Optimality Conditions for the Ghost Obstacle Problem and Some Numerical Experience

125

(6)

Local Null Controllability in a State Constrained Thermoelastic Contact Problem

131

(14)

Irina F. Sivergina

Michael P. Polis

Control of the Linear System

135

(1)

Nonlinear Case: Application of a Fixed Point Theorem

136

(7)

The State Constrained Null Control Problem

143

(1)

Conclusion

143

(2)

On Sensitivity of Optimal Solutions to Control Problems for Hyperbolic Hemivariational Inequalities

145

(12)

Zdzislaw Denkowski

Stanislaw Migorski

Class of Problems

146

(1)

Preliminaries

147

(4)

Sensitivity of Solution Sets for Second Order HVIs

151

(2)

Complementary Γ-convergence of Cost Functionals

153

(4)

Evolution Hemivariational Inequality with Hysteresis and Optimal Control Problem

157

(12)

Leszek Gasinski

Preliminaries

158

(3)

Hemivariational Inequality with Hysteresis

161

(2)

Estimates on the Solutions of (HVI)

163

(1)

Optimal Control Problem

164

(5)

On the Modeling and Control of Delamination Processes

169

(20)

Michal Kocvara

Jiri V. Outrata

Introduction

169

(2)

Delamination Process

171

(6)

Optimality Conditions

177

(5)

Optimization of Delamination Processes

182

(3)

Conclusion

185

(4)

On a Spectral Variational Problem Arising in the Study of Earthquakes

189

(12)

Vicentiu Radulescu

Main Results and Physical Motivation

190

(4)

Proofs

194

(7)

Nodal Control of Conservation Laws on Networks

201

(16)

Martin Gugat

Notation

202

(2)

The Linearized Problem

204

(1)

Existence of Solutions

205

(1)

Directional Differentiability

206

(1)

Evaluation of Directional Derivatives

206

(5)

Example

211

(3)

Conclusion

214

(3)

Invariance of Closed Sets under Stochastic Control Systems

217

(14)

Giuseppe Da Prato

Helene Frankowska

Preliminaries

219

(1)

Necessary and Sufficient Conditions for the Invariance

220

(4)

Invariance of Stochastic Control Systems

224

(7)

Uniform Stabilization of an Anisotropic System of Thermoelasticity

231

(12)

Mary Ann Horn

Statement of the Problem

232

(3)

Proof of Theorem 3: Uniform Stabilization

235

(6)

Discussion

241

(2)

Semigroup Well-Posedness of a Multilayer Mead-Markus Plate with Shear Damping

243

(14)

Scott W. Hansen

Multilayer Mead-Markus Model

244

(4)

State Variable Formulation

248

(3)

Semigroup Formulation of Homogeneous Problem

251

(6)

Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations

257

(24)

Kirsten Morris

Carmeliza Navasca

Solution of Lyapunov Equation

260

(3)

Benchmark Examples

263

(5)

Euler-Bernoulli Beam

268

(13)

Stabilization in Computing Saddle Points

281

(12)

Jianxin Zhou

Xudong Yao

The Local Minimax Method

282

(1)

Results on the Order of Saddle Points

283

(3)

Reduce Instability by Using Symmetries

286

(3)

Selected Numerical Examples

289

(4)

Second Order Sufficient Conditions for Optimal Control Subject to First Order State Constraints

293

(12)

Kazimierz Malanowski

Helmut Maurer

Sabine Pickenhain

Preliminaries

294

(4)

Second Order Sufficient Conditions via Hamilton-Jacobi Inequality

298

(2)

Checking Positive Definiteness with Riccati Equation

300

(2)

Example

302

(3)

Index

305

Please wait while the item is added to your bag...

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Control And Boundary Analysis

Summary

Table of Contents

Supplemental Materials