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Trends in PDE Constrained Optimization

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Table of Contents

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    Book Overview
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    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
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Trends in PDE Constrained Optimization
Published by
Springer International Publishing, January 2014
DOI 10.1007/978-3-319-05083-6
978-3-31-905082-9, 978-3-31-905083-6

Leugering, Günter, Benner, Peter, Engell, Sebastian, Griewank, Andreas, Harbrecht, Helmut, Hinze, Michael, Rannacher, Rolf, Ulbrich, Stefan

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Mendeley readers

The data shown below were compiled from readership statistics for 28 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 28 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 12 43%
Researcher 6 21%
Student > Doctoral Student 2 7%
Professor > Associate Professor 2 7%
Student > Bachelor 2 7%
Other 2 7%
Unknown 2 7%
Readers by discipline Count As %
Mathematics 7 25%
Engineering 6 21%
Chemical Engineering 4 14%
Agricultural and Biological Sciences 2 7%
Physics and Astronomy 1 4%
Other 3 11%
Unknown 5 18%