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Trends in PDE Constrained Optimization

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Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 Introduction to Part I Constrained Optimization, Identification and Control
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    Chapter 3 Optimal Control of Allen-Cahn Systems
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    Chapter 4 Optimal Control of Elastoplastic Processes: Analysis, Algorithms, Numerical Analysis and Applications
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    Chapter 5 One-Shot Approaches to Design Optimzation
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    Chapter 6 Optimal Design with Bounded Retardation for Problems with Non-separable Adjoints
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    Chapter 7 On a Fully Adaptive SQP Method for PDAE-Constrained Optimal Control Problems with Control and State Constraints
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    Chapter 8 Optimal Control of Nonlinear Hyperbolic Conservation Laws with Switching
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    Chapter 9 Elliptic Mathematical Programs with Equilibrium Constraints in Function Space: Optimality Conditions and Numerical Realization
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    Chapter 10 Models and Optimal Control in Freezing and Thawing of Living Cells and Tissues
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    Chapter 11 Optimal Control-Based Feedback Stabilization of Multi-field Flow Problems
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    Chapter 12 Introduction to Part II Shape and Topology Optimization
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    Chapter 13 Two-Stage Stochastic Optimization Meets Two-Scale Simulation
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    Chapter 14 On Shape Optimization with Parabolic State Equation
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    Chapter 15 Multi-material Phase Field Approach to Structural Topology Optimization
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    Chapter 16 Introduction to Part III Adaptivity and Model Reduction
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    Chapter 17 Model Reduction by Adaptive Discretization in Optimal Control
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    Chapter 18 Graded Meshes in Optimal Control for Elliptic Partial Differential Equations: An Overview
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    Chapter 19 Model Order Reduction for PDE Constrained Optimization
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    Chapter 20 Adaptive Trust-Region POD Methods in PIDE-Constrained Optimization
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    Chapter 21 Introduction to Part IV Discretization: Concepts and Analysis
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    Chapter 22 Optimal Control for Two-Phase Flows
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    Chapter 23 A-Priori Error Bounds for Finite Element Approximation of Elliptic Optimal Control Problems with Gradient Constraints
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    Chapter 24 Space-Time Newton-Multigrid Strategies for Nonstationary Distributed and Boundary Flow Control Problems
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    Chapter 25 Convergence of Adaptive Finite Elements for Optimal Control Problems with Control Constraints
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    Chapter 26 Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains
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    Chapter 27 Introduction to Part V: Applications
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    Chapter 28 Optimal Treatment Planning in Radiotherapy Based on Boltzmann Transport Equations
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    Chapter 29 Optimal Control of Self-Consistent Classical and Quantum Particle Systems
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    Chapter 30 Modeling, Analysis and Optimization of Particle Growth, Nucleation and Ripening by the Way of Nonlinear Hyperbolic Integro-Partial Differential Equations
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    Chapter 31 Stabilization of Networked Hyperbolic Systems with Boundary Feedback
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    Chapter 32 Optimal Control of Surface Acoustic Wave Actuated Sorting of Biological Cells
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    Chapter 33 Real-Time PDE Constrained Optimal Control of a Periodic Multicomponent Separation Process
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    Chapter 34 OPTPDE: A Collection of Problems in PDE-Constrained Optimization
Attention for Chapter 14: On Shape Optimization with Parabolic State Equation
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Chapter title
On Shape Optimization with Parabolic State Equation
Chapter number 14
Book title
Trends in PDE Constrained Optimization
Published by
Birkhäuser, Cham, January 2014
DOI 10.1007/978-3-319-05083-6_14
Book ISBNs
978-3-31-905082-9, 978-3-31-905083-6
Authors

Helmut Harbrecht, Johannes Tausch

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 5 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 60%
Professor > Associate Professor 1 20%
Researcher 1 20%
Readers by discipline Count As %
Mathematics 2 40%
Engineering 1 20%
Unknown 2 40%