Fast Solution of Discretized Optimization Problems

1. Front Matter

   Pages i-viii

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2. Block Preconditioners for KKT Systems in PDE—Governed Optimal Control Problems

   • Astrid Battermann, Ekkehard W. Sachs

   Pages 1-18

3. Iterative Multiscale Methods for Process Monitoring

   • Thomas Binder, Luise Blank, Wolfgang Dahmen, Wolfgang Marquardt

   Pages 19-34

4. Three Dimensional Shape and Topology Optimization in Cauchy-Navier’s PDE

   • Thomas Borrvall, Joakim Petersson

   Pages 35-49

5. A Multigrid Method for Optimal Control of Time-Dependent Reaction Diffusion Processes

   • Alfio Borzì, Karl Kunisch

   Pages 50-57

6. On the Implementation of Multilevel Solvers for Constrained Variational Problems in Dual Formulation

   • Hinderk Martens Buß

   Pages 58-72

7. Nonlinear Boundary Control for the Heat Equation Utilizing Proper Orthogonal Decomposition

   • Franz Diwoky, Stefan Volkwein

   Pages 73-87

8. A Posteriori Error Estimation for the Sourcewise Represented Solution with Application to the Problem of Heat Conductivity

   • Konstantin Dorofeev, Anatoly Yagola

   Pages 88-97

9. Efficient Algorithms for Contact Shape Optimization

   • Zdeněk Dostál, Vít Vondrák, John Rasmussen

   Pages 98-106

10. Fast Algorithms for Positional Optimization of Dynamic Systems

    • Rafail Gabasov, Faina M. Kirillova

    Pages 107-119

11. Optimal Sizing Using Automatic Differentiation

    • Gundolf Haase, Ulrich Langer, Ewald Lindner, Wolfram Mühlhuber

    Pages 120-138

12. On a Globalized Augmented Lagrangian-SQP Algorithm for Nonlinear Optimal Control Problems with Box Constraints

    • Michael Hintermüller

    Pages 139-153

13. Recent Advances in Mesh Adaptivity for Optimal Control Problems

    • WenBin Liu

    Pages 154-166

14. Optimal Geometrical Design of Bingham Parameter Measurement Devices

    • Dmitriy Logashenko, Bernd Maar, Volker Schulz, Gabriel Wittum

    Pages 167-183

15. Sufficient Optimality for Discretized Parabolic and Elliptic Control Problems

    • Hans D. Mittelmann

    Pages 184-196

16. Global Quadratic Dynamic Minimization Approaches for Shape Design with Incomplete Sensitivities on CAD-Free Parameterization of Multi-Disciplinary Configurations

    • Bijan Mohammadi

    Pages 197-205

17. Convergence of Runge-Kutta Discretization for Optimal Control Problems

    • Appolinaire Nzali

    Pages 206-220

18. Numerical Optimal Control Strategies for Semi-Active Vehicle Suspension with Electrorheological Fluid Dampers

    • Uwe Rettig, Oskar von Stryk

    Pages 221-241

19. Adaptive Approximation Algorithm for Relaxed Optimization Problems

    • Tomáš Roubíček, Martin Kružík

    Pages 242-254

20. Optimization Tools for Solving Nonlinear Ill-posed Problems

    • Thomas Viklands, Marten Gulliksson

    Pages 255-264

Differential equations - partial as well as ordinary - are one of the main tools for the modeling of real world application problems. Pursuing the ultimate aim of influencing these systems in a desired way, one is confronted with the task of optimizing discretized models. This volume contains selected papers presented at the International Work­ shop on "Fast Solution of Discretized Optimization Problems", which took place at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin from May 08 until May 12, 2000. The conference was attended by 59 scientists from 10 countries. The scientific program consisted of 8 invited lectures presented by H. G. Bock (IWR Heidelberg) M. Heinkenschloss (Rice University, Houston) K. Kunisch (University of Graz) U. Langer (University Linz) B. Mohammadi (University of Montpellier) J. Petersson (University of Linkoping) E. Sachs (University of Trier) F. Troltzsch (Technical University of Chemnitz) and 28 contributed talks. The aim of this workshop was to foster the exchange of ideas between the still comparatively separated disciplines of nonlinear optimiza­ tion on the one side and numerical methods for differential equations on the other side. This is necessary for the successful solution of various current optimization problems in practical applications (shape optimization, topology optimization, pro­ cess optimization . . . ). Therefore the organizing committee as well as the speakers have come from both these communities.

• Numerical mathematics
• algorithms
• calculus
• differential equation
• linear optimization
• nonlinear optimization
• optimization

• Center of Advanced European Studies and Research (caesar), Bonn, Germany

  Karl-Heinz Hoffmann

• Lehrstuhl für Angewandte Analysis mit Schwerpunkt Numerik, Universität Augsburg, Augsburg, Germany

  Ronald H. W. Hoppe

• Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

  Volker Schulz

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