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Optimization with PDE Constraints

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Cover of 'Optimization with PDE Constraints'

Table of Contents

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    Book Overview
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    Chapter 1 Numerical Solution of 2D Contact Shape Optimization Problems Involving a Solution-Dependent Coefficient of Friction
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    Chapter 2 Phase Field Methods for Binary Recovery
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    Chapter 3 Recent Results in Shape Optimization and Optimal Control for PDEs
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    Chapter 4 Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type
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    Chapter 5 Constrained Optimization: From Lagrangian Mechanics to Optimal Control and PDE Constraints
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    Chapter 6 Topology Design of Elastic Structures for a Contact Model
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    Chapter 7 Convex Programming with Separable Ellipsoidal Constraints: Application in Contact Problems with Orthotropic Friction
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    Chapter 8 Shape-Topological Differentiability of Energy Functionals for Unilateral Problems in Domains with Cracks and Applications
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    Chapter 9 Boundary Stabilization of Numerical Approximations of the 1-D Variable Coefficients Wave Equation: A Numerical Viscosity Approach
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    Chapter 10 Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic State Equations
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    Chapter 11 Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations
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    Chapter 12 Controllability of Navier–Stokes Equations
Attention for Chapter 4: Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type
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Chapter title
Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type
Chapter number 4
Book title
Optimization with PDE Constraints
Published by
Springer, Cham, January 2014
DOI 10.1007/978-3-319-08025-3_4
Book ISBNs
978-3-31-908024-6, 978-3-31-908025-3
Authors

A. Gaevskaya, M. Hintermüller, R. H. W. Hoppe, C. Löbhard

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