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Fast Solution of Discretized Optimization Problems

Workshop held at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, May 8–12, 2000

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Karl-Heinz Hoffmann

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

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  2. Ronald H. W. Hoppe

    1. Lehrstuhl für Angewandte Analysis mit Schwerpunkt Numerik, Universität Augsburg, Augsburg, Germany

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  3. Volker Schulz

    1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 138)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  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
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Keywords

About this book

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.

Editors and Affiliations

  • 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

Bibliographic Information

  • Book Title: Fast Solution of Discretized Optimization Problems

  • Book Subtitle: Workshop held at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, May 8–12, 2000

  • Editors: Karl-Heinz Hoffmann, Ronald H. W. Hoppe, Volker Schulz

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8233-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2001

  • Hardcover ISBN: 978-3-7643-6599-8Published: 01 September 2001

  • Softcover ISBN: 978-3-0348-9484-5Published: 05 November 2012

  • eBook ISBN: 978-3-0348-8233-0Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: VIII, 283

  • Topics: Analysis

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