Inverse Problems and Optimal Design in Electricity and Magnetism

Front Cover
Clarendon Press, Jan 11, 1996 - Language Arts & Disciplines - 367 pages
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.
 

Contents

Numerical methods for boundaryvalue problems
38
Regularization
74
Numerical methods for systems of equations
76
Unconstrained optimization
89
Constrained optimization
137
Nonlinear leastsquares
172
Introduction 191 666
191
Potential equations in electricity and magnetism
198
Synthesis of material properties
269
Optimal shape synthesis
276
Remarks on inverse and design problems
298
Artificial neural networks ANNs for inverse electromagnetic
309
Introduction
315
Finiteelement designsensitivity analysis
325
7
334
Subroutine libraries
339

Numerical methods in electromagnetism
210
Inverse problems and optimal design
229
Synthesis of sources
237
Synthesis of boundary conditions
259

Common terms and phrases