Leugering, Günter

Constrained Optimization and Optimal Control for Partial Differential Equations

Leugering, Günter - Constrained Optimization and Optimal Control for Partial Differential Equations, ebook


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ISBN: 9783034801331
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Table of contents

1. Stabilization of Incompressible Flow Problems by Riccati-based Feedback
Eberhard Bänsch, Peter Benner

2. Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques
Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu, Vanessa Styles

3. On the Connection Between Forward and Optimization Problem in One-shot One-step Methods
Hans Georg Bock, Andreas Potschka, Sebastian Sager, Johannes P. Schlöder

4. Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers
Debora Clever, Jens Lang, Stefan Ulbrich, Carsten Ziems

5. Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System
Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Achim Wixforth

6. Automated Extension of Fixed Point PDE Solvers for Optimal Design with Bounded Retardation
Nicolas Gauger, Andreas Griewank, Adel Hamdi, Claudia Kratzenstein, Emre Özkaya, Thomas Slawig

7. Well-posedness of Networked Hyperbolic Systems of Balance Laws
Martin Gugat, Michael Herty, Axel Klar, Günther Leugering, Veronika Schleper

8. A Space-Time Multigrid Method for Optimal Flow Control
Michael Hinze, Michael Köster, Stefan Turek

9. A Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems
Michael Hinze, Morten Vierling

10. Structure Exploiting Adjoints for Finite Element Discretizations
Denise Holfeld, Philipp Stumm, Andrea Walther

11. Computing Covariance Matrices for Constrained Nonlinear Large Scale Parameter Estimation Problems Using Krylov Subspace Methods
Ekaterina Kostina, Olga Kostyukova

12. On Shape Optimization with Stochastic Loadings
Pradeep Atwal, Sergio Conti, Benedict Geihe, Martin Pach, Martin Rumpf, Rüdiger Schultz

13. Phase-field Approaches to Structural Topology Optimization
Luise Blank, Harald Garcke, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles, Axel Voigt

14. Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design in Navier Stokes Flow
Christian Brandenburg, Florian Lindemann, Michael Ulbrich, Stefan Ulbrich

15. Shape Optimization for Free Boundary Problems – Analysis and Numerics
Karsten Eppler, Helmut Harbrecht

16. Non-parametric Aerodynamic Shape Optimization
Nicolas Gauger, Caslav Ilic, Stephan Schmidt, Volker Schulz

17. A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints
Andreas Günther, Michael Hinze, Moulay Hicham Tber

18. Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems
Dominik Meidner, Boris Vexler

19. A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints
Rolf Rannacher, Boris Vexler, Winnifried Wollner

20. A Priori Mesh Grading for Distributed Optimal Control Problems
Thomas Apel, Dieter Sirch

21. Discretization of Optimal Control Problems
Michael Hinze, Arnd Rösch

22. A Posteriori Error Estimators for Control Constrained Optimal Control Problems
Kristina Kohls, Arnd Rösch, Kunibert G. Siebert

23. A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems
Dominik Meidner, Boris Vexler

24. Numerical Analysis of State-constrained Optimal Control Problems for PDEs
Ira Neitzel, Fredi Tröltzsch

25. Modeling, Simulation and Optimization of Radio Frequency Ablation
Inga Altrogge, Christof Büskens, Tim Kröger, Heinz-Otto Peitgen, Tobias Preusser, Hanne Tiesler

26. Optimization of Electro-mechanical Smart Structures
Eberhard Bänsch, Manfred Kaltenbacher, Günter Leugering, Fabian Schury, Fabian Wein

27. Freezing of Living Cells: Mathematical Models and Design of Optimal Cooling Protocols
Nikolai D. Botkin, Karl-Heinz Hoffmann, Varvara L. Turova

28. Model Reduction, Structure-property Relations and Optimization Techniques for the Production of Nanoscale Particles
Michael Gröschel, Günter Leugering, Wolfgang Peukert

29. Control of Nanostructures through Electric Fields and Related Free Boundary Problems
Frank Haußer, Sandra Janssen, Axel Voigt

30. Optimization of Simulated Moving Bed Processes
Achim Küpper, Sebastian Engell

31. Optimization and Inverse Problems in Radiative Heat Transfer
René Pinnau, Norbert Siedow

32. On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps
Markus Probst, Michael Lülfesmann, Mike Nicolai, H. Martin Bücker, Marek Behr, Christian H. Bischof

Keywords: Mathematics, Partial Differential Equations, Optimization, Computational Mathematics and Numerical Analysis

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