Inverse Problems and Optimal Design in Electricity and Magnetism

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Clarendon Press, Jan 11, 1996 - Mathematics - 367 pages
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In the last thirty years optimization theory has been extensively applied to the optimal design of mechanical structures and, in general, to the solution of inverse problems in structural mechanics. In electromagnetism, however, the impact of optimization methods is much more recent. The present book is the first one on the subject of inverse problems and optimal design in electricity and magnetism. Filling this gap in the literature was the primary goal of the authors. The secondary one was to provide a comprehensive reference book offering a broad view of the subject ranging from theory to computer implementations. Having this in mind, the authors tried to write a book which might serve as a textbook for graduate students in electrical engineering as well as a reference for applied mathematicians and researchers. Possible applications pertain to a great many different areas: electrical machines, high voltage engineering, nuclear magnetic resonance spectrography, electron optics, plasma techniques, etc.
 

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Contents

Mathematical preliminaries
3
Numerical methods for systems of equations
76
Unconstrained optimization
89
Constrained optimization
137
Linear leastsquares
161
Nonlinear leastsquares
172
Introduction
191
Potential equations in electricity and magnetism
198
Synthesis of boundary conditions
259
Synthesis of material properties
269
Optimal shape synthesis
276
Remarks on inverse and design problems
298
Artificial neural networks ANNs for inverse electromagnetic
309
designsensitivity and shape design procedures
315
Finiteelement designsensitivity analysis
325
Subroutine libraries
339

Numerical methods in electromagnetism
210
Inverse problems and optimal design
229
Synthesis of sources
237
Author index
355
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About the author (1996)

P. Neittaanmaki is at University of Jyvaskyla. M. Rudnicki is at Institute of Electrical Engineering, Warsaw.

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