Inverse Problems and Optimal Design in Electricity and Magnetism

Hardcover | April 30, 1999

byP. Neittaanmaki, M. Rudnicki, A. Savini

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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. Thepresent 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 rangingfrom 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 differentareas: electrical machines, high voltage engineering, nuclear magnetic resonance spectrography, electron optics, plasma techniques, etc.

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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. Thepresent book is the first one on the subject of ...

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

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Format:HardcoverDimensions:380 pages, 9.21 × 6.14 × 0.98 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019859383X

ISBN - 13:9780198593836

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Table of Contents

I: Mathematical methodology1. Mathematical preliminaries2. Boundary-value problems3. Numerical methods for boundary-value problems4. Regularization5. Numerical methods for systems of equations6. Unconstrained optimization7. Constrained optimization8. Linear-least squares9. Nonlinear least-squaresII: Fundamentals of electromagnetism10. Introduction11. Maxwell's equations12. Potential equations in electricity and magnetism13. Numerical methods in electromagnetismIII: Inverse problems and optimal design in electromagnetic applications14. Inverse problems and optimal design15. Synthesis of sources16. Synthesis of boundary conditions17. Synthesis of material properties18. Optimal shape synthesis19. Remarks on inverse and design problems20. Artificial neural networks (ANNs) for inverse electromagnetic modellingIV: Implementation of the FEM, design-sensitivity and shape design procedures21. Introduction22. Implementation of the finite-element method23. Finite-element design-sensitivity analysis24. Subroutine librariesAuthor indexSubject index

Editorial Reviews

'There is much of interest in this book which in a sense bridges the gap between electromagnetic theory and numerical analysis. ...The book is interesting, well written and fulfils its purpose and can be recommended...' G. Chambers, Zentrallblatt fur Mathematik und ihre Grenzgebiete, No. 865,1997