Fr. 253.20

Inverse Problems and Optimal Design in Electricity and Magnetism

English · Hardback

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Zusatztext 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... Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis I: Mathematical methodology 1: Mathematical preliminaries 2: Boundary-value problems 3: Numerical methods for boundary-value problems 4: Regularization 5: Numerical methods for systems of equations 6: Unconstrained optimization 7: Constrained optimization 8: Linear-least squares 9: Nonlinear least-squares II: Fundamentals of electromagnetism 10: Introduction 11: Maxwell's equations 12: Potential equations in electricity and magnetism 13: Numerical methods in electromagnetism III: Inverse problems and optimal design in electromagnetic applications 14: Inverse problems and optimal design 15: Synthesis of sources 16: Synthesis of boundary conditions 17: Synthesis of material properties 18: Optimal shape synthesis 19: Remarks on inverse and design problems 20: Artificial neural networks (ANNs) for inverse electromagnetic modelling IV: Implementation of the FEM, design-sensitivity and shape design procedures 21: Introduction 22: Implementation of the finite-element method 23: Finite-element design-sensitivity analysis 24: Subroutine libraries Author index Subject index ...

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