Inverse Problems and Optimal Design in Electricity and Magnetism [Hardcover]

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.

Preface
Acknowledgements
I: Mathematical methodology
1. Mathematical preliminaries
2. Variational methods in potential theory
3. Integral equation method in potential theory
4. Regularization
5. Numerical methods for systems of equations
6. Unconstrained optimization
7. Constrained optimization
8. Linear least squares
II: Fundamentals of electromagnetism
10. Introduction
11. Maxwell's equations
12. Potential equations of electricity and magnetism
13. Further key-points of electromagnetic theory
14. Numerical methods in electromagnetics
III: Optimal design and inverse problems
15. Introduction
16. Synthesis of sources
17. Synthesis of boundary conditions
18. Synthesis of material properties
19. Optimal shape synthesis
20. Survey of solved problems
21. References
IV: Computational methodology
22. Introduction
23. Implementation of the finite element method
24. Methods for shape design
25. Optimization and regularization algorithms and text examples
27. Subroutine libraries