Computational Methods for Optimal Design and Control

1. Front Matter

   Pages i-xi

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2. Optimal Disturbances in Boundary Layers

   • Paul Andersson, Martin Berggren, Dan Henningson

   Pages 1-26

3. MDO — A Mathematical View Point

   • Eyal Arian

   Pages 27-47

4. Optimization Using Surrogate Objectives on a Helicopter Test Example

   • Andrew J. Booker, J. E. Dennis Jr., Paul D. Frank, David B. Serafini, Virginia Torczon

   Pages 49-58

5. Observations in Adaptive Refinement Strategies for Optimal Design

   • Jeff Borggaard, Dominique Pelletier

   Pages 59-76

6. The Simplex Gradient and Noisy Optimization Problems

   • D. M. Bortz, C. T. Kelley

   Pages 77-90

7. Adjoint-Based Methods in Aerodynamic Design-Optimization

   • Eugene M. Cliff, Matthias Heinkenschloss, Ajit R. Shenoy

   Pages 91-112

8. Semi-Automatic Differentiation

   • Thomas F. Coleman, Fadil Santosa, Arun Verma

   Pages 113-126

9. Robust Reduced-Order Controller of Transitional Boundary Layers

   • L. Cortelezzi, J. L. Speyer

   Pages 127-136

10. Modern Optimization Methods for Structural Optimization under Flutter Constraints

    • M. Fahl, E. W. Sachs

    Pages 137-150

11. On Shape Optimization and Related Issues

    • Roland Glowinski, Jiwen He

    Pages 151-179

12. Using Sensitivities for Flow Analysis

    • Andrew G. Godfrey

    Pages 181-196

13. Sensitivities in Computational Methods for Optimal Flow Control

    • Max Gunzburger

    Pages 197-236

14. Fictitious Domain Approaches in Shape Optimization

    • Jaroslav Haslinger

    Pages 237-248

15. Process Modeling and Optimization: Issues and Challenges

    • Jean-François Hétu, Florin Ilinca, Dominique Pelletier

    Pages 249-263

16. Automatic Differentiation and Navier-Stokes Computations

    • Paul Hovland, Bijan Mohammadi, Christian Bischof

    Pages 265-284

17. Numerical Computation of Sensitivities and the Adjoint Approach

    • Robert Michael Lewis

    Pages 285-302

18. Sensor/Actuator Placement via Optimal Distributed Control of Exterior Stokes Flow

    • Josip Lončarić

    Pages 303-322

19. Fast Bounds for Outputs of Partial Differential Equations

    • Marius Paraschivoiu, Jaime Peraire, Yvon Maday, Anthony T. Patera

    Pages 323-360

20. A Comparison of Local and Global Projections in Design Sensitivity Computations

    • Lisa G. Stanley, Dawn L. Stewart

    Pages 361-373

This volume contains the proceedings of the Second International Workshop on Optimal Design and Control, held in Arlington, Virginia, 30 September-3 Octo­ ber, 1997. The First Workshop was held in Blacksburg, Virginia in 1994. The proceedings of that meeting also appeared in the Birkhauser series on Progress in Systems and Control Theory and may be obtained through Birkhauser. These workshops were sponsored by the Air Force Office of Scientific Re­ search through the Center for Optimal Design and Control (CODAC) at Vrrginia Tech. The meetings provided a forum for the exchange of new ideas and were designed to bring together diverse viewpoints and to highlight new applications. The primary goal of the workshops was to assess the current status of research and to analyze future directions in optimization based design and control. The present volume contains the technical papers presented at the Second Workshop. More than 65 participants from 6 countries attended the meeting and contributed to its success. It has long been recognized that many modern optimal design problems are best viewed as variational and optimal control problems. Indeed, the famous problem of determining the body of revolution that produces a minimum drag nose shape in hypersonic How was first proposed by Newton in 1686. Optimal control approaches to design can provide theoretical and computational insight into these problems. This volume contains a number of papers which deal with computational aspects of optimal control.

• calculus
• computational methods
• control
• design
• equation
• modeling
• optimization
• partial differential equation

• Ctr. for Optimal Design and Control Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, USA

  Jeff Borggaard

• Ctr. for Optimal Design and Control Interdisciplinary Ctr. for Applied Mathematics, Virginia Tech, Blacksburg, USA

  John Burns, Eugene Cliff

• Air Force Office of Scientific Research, Bolling Air Force Base, Washington, DC, USA

  Scott Schreck

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