Springer Book Archives

Multilevel Algorithms for Nonlinear Optimization.- Shape Optimization in One Shot.- Computational Aspects of Differential Dynamic Programming and Nonlinear Programming Techniques for Optimal Control.- Optimal Control of Metal Forging.- The Application of Sparse Least Squares in Aerospace Design Problems.- Algorithms for Flow Control and Optimization.- Generalized Reduced Gradient Algorithm for Large-scale Trajectory Optimization Problems.- The Optimal Design Problem of Céa and Malanowski Revisited.- Uniformly Scalar Spline Approximations for Scalar Delay Problems.- Implicit Filtering and Optimal Design Problems.- Generating Conjugate Directions Using Limited Second Derivatives.- Contact Shape Optimization.- Optimal Control of Thermally Coupled Navier-Stokes Equations.- Optimization Methods in the Process Control of Industrial Furnaces.- Maximal Decay Rates and Asymptotic Behavior of Solutions in Nonlinear Elastic Structures.- Preparation of Advanced CFD Codes for use in Sensitivity Analyses and Multidisciplinary Design Optimization.- An Introduction to the Formation Theory of Active Metals.

This volume is the proceedings of the Workshop on Optimal Design and Control that was held in Blacksburg, Virginia, April 8-9, 1994. The workshop was spon sored by the Air Force Office of Scientific Research through the Air Force Center for Optimal Design and Control (CODAC) at Virginia Tech. The workshop was a gathering of engineers and mathematicians actively in volved in innovative research in control and optimization, with emphasis placed on problems governed by partial differential equations. The interdisciplinary nature of the workshop and the wide range of subdisciplines represented by the partici pants enabled an exchange of valuable information and also led to significant dis cussions about multidisciplinary optimization issues. One of the goals of the work shop was to include laboratory, industrial, and academic researchers so that anal yses, algorithms, implementations, and applications could all be well-represented in the talks; this interdisciplinary nature is reflected in these proceedings. An overriding impression that can be gleaned from the papers in this volume is the complexity of problems addressed by not only those authors engaged in appli cations, but also by those engaged in algorithmic development and even mathemat ical analyses. Thus, in many instances, systematic approaches using fully nonlin ear constraint equations are routinely used to solve control and optimization prob lems, in some cases replacing ad-hoc or empirically based procedures.