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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 11: Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations
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Chapter title
Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations
Chapter number 11
Book title
Optimization with PDE Constraints
Published by
Springer, Cham, January 2014
DOI 10.1007/978-3-319-08025-3_11
Book ISBNs
978-3-31-908024-6, 978-3-31-908025-3
Authors

Pavel I. Plotnikov, Jan Sokołowski

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