Large-Scale Optimization with Applications: Part I: Optimization in Inverse Problems and Design

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Lorenz T. Biegler
Springer Science & Business Media, Jul 31, 1997 - Business & Economics - 204 pages
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Inverse problems and optimal design have come of age as a consequence of the availability of better, more accurate, and more efficient simulation packages. Many of these simulators, which can run on small workstations, can capture the complicated behavior of the physical systems they are modeling, and have become commonplace tools in engineering and science. There is a great desire to use them as part of a process by which measured field data are analyzed or by which design of a product is automated. A major obstacle in doing precisely this is that one is ultimately confronted with a large-scale optimization problem. This volume contains expository articles on both inverse problems and design problems formulated as optimization. Each paper describes the physical problem in some detail and is meant to be accessible to researchers in optimization as well as those who work in applied areas where optimization is a key tool. What emerges in the presentations is that there are features about the problem that must be taken into account in posing the objective function, and in choosing an optimization strategy. In particular there are certain structures peculiar to the problems that deserve special treatment, and there is ample opportunity for parallel computation. THIS IS BACK COVER TEXT!!! Inverse problems and optimal design have come of age as a consequence of the availability of better, more accurate, and more efficient, simulation packages. The problem of determining the parameters of a physical system from
 

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Contents

SPACE MAPPING OPTIMIZATION FOR ENGINEERING DESIGN
1
THE IDENTIFICATION OF THE CURRENT DENSITY PROFILE IN A TOKAMAK
17
DUALITY FOR INVERSE PROBLEMS IN WAVE PROPAGATION
37
PIECEWISE DIFFERENTIABLE MINIMIZATION FOR ILLPOSED INVERSE PROBLEMS
63
THE USE OF OPTIMIZATION IN THE RECONSTRUCTION OF OBSTACLES FROM ACOUSTIC OR ELECTROMAGNETIC SCATTERING DATA
81
DESIGN OF 3DREPLECTORS FOR NEAR FIELD AND FAR FIELD PROBLEMS
101
OPTIMAL DIE SHAPE AND RAM VELOCITY DESIGN FOR METAL FORGING
119
EIGENVALUES IN OPTIMUM STRUCTURAL DESIGN
135
OPTIMIZATION ISSUES IN OCEAN ACOUSTICS
151
GRADIENT METHODS IN INVERSE ACOUSTIC AND ELECTROMAGNETIC SCATTERING
173
ATMOSPHERIC DATA ASSIMILATION BASED ON THE REDUCED HESSIAN SUCCESSIVE QUADRATIC PROGRAMMING ALGORITHM
195
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About the author (1997)

Lorenz T. Biegler is the Bayer Professor of Chemical Engineering at Carnegie Mellon University and a Fellow of the American Institute of Chemical Engineers. He has authored or coauthored over 200 journal articles and two books. His research interests lie in the field of computer-aided process engineering, including flowsheet optimization, optimization of systems of differential and algebraic equations, reactor network synthesis and algorithms for constrained, nonlinear process control.