Inverse Problems and Optimal Design in Electricity and Magnetism

by P. Neittaanmïki, M. Rudnicki, A. Savini

Overview

The optimization theory has been extensively applied to mechanical engineering and the solution of inverse problems in structural mechanics, but its use in electromagnetism is much more recent. This is the first book to explore optimal design in electricity and magnetism. Besides filling this gap in the literature, it also provides a comprehensive reference book for applied mathematicians and researchers, offering a broad view of the subject from theory to computer implementations.

Product Details

ISBN-13:	9780198593836
Publisher:	Oxford University Press
Publication date:	02/22/1996
Series:	Monographs in Electrical and Electronic Engineering , #35
Pages:	384
Product dimensions:	9.21(w) x 6.14(h) x 0.88(d)

About the Author

University of Jyvaskyla

Institute of Electrical Engineering, Warsaw

University of Pavia

Table of Contents

PrefaceAcknowledgementsI: Mathematical methodology1. Mathematical preliminaries2. Variational methods in potential theory3. Integral equation method in potential theory4. Regularization5. Numerical methods for systems of equations6. Unconstrained optimization7. Constrained optimization8. Linear least squaresII: Fundamentals of electromagnetism10. Introduction11. Maxwell's equations12. Potential equations of electricity and magnetism13. Further key-points of electromagnetic theory14. Numerical methods in electromagneticsIII: Optimal design and inverse problems15. Introduction16. Synthesis of sources17. Synthesis of boundary conditions18. Synthesis of material properties19. Optimal shape synthesis20. Survey of solved problems21. ReferencesIV: Computational methodology22. Introduction23. Implementation of the finite element method24. Methods for shape design25. Optimization and regularization algorithms and text examples27. Subroutine libraries