Book description
Computational Electromagnetism refers to the modern concept of computeraided analysis, and design, of virtually all electric devices such as motors, machines, transformers, etc., as well as of the equipment inthe currently booming field of telecommunications, such as antennas, radars, etc.The present book is uniquely written to enable the reader be it a student, a scientist, or a practitioner to successfully perform important simulation techniques and to design efficient computer software for electromagnetic device analysis. Numerous illustrations, solved exercises, original ideas, and an extensive and uptodate bibliography make it a valuable reference for both experts and beginners in the field. A researcher and practitioner will find in it information rarely available in other sources, such as on symmetry, bilateral error bounds by complimentarity, edge and face elements, treatment of infinite domains, etc.
At the same time, the book is a useful teaching tool for courses in computational techniques in certain fields of physics and electrical engineering. As a selfcontained text, it presents an extensive coverage of the most important concepts from Maxwells equations to computersolvable algebraic systems for both static, quasistatic, and harmonic highfrequency problems.
Benefits
To the Engineer
A sound background necessary not only to understand the principles behind variational methods and finite elements, but also to design pertinent and wellstructured software.
To the Specialist in Numerical Modeling
The book offers new perspectives of practical importance on classical issues: the underlying symmetry of Maxwell equations, their interaction with other fields of physics in reallife modeling, the benefits of edge and face elements, approaches to error analysis, and "complementarity."
To the Teacher
An expository strategy that will allow you to guide the student along a safe and easy route through otherwise difficult concepts: weak formulations and their relation to fundamental conservation principles of physics, functional spaces, Hilbert spaces, approximation principles, finite elements, and algorithms for solving linear systems. At a higher level, the book provides a concise and selfcontained introduction to edge elements and their application to mathematical modeling of the basic electromagnetic phenomena, and static problems, such as eddycurrent problems and microwaves in cavities.
To the Student
Solved exercises, with "hint" and "full solution" sections, will both test and enhance the understanding of the material. Numerous illustrations will help in grasping difficult mathematical concepts.
Table of contents
 Front Cover
 Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements
 Copyright Page
 Contents (1/2)
 Contents (2/2)
 Preface (1/2)
 Preface (2/2)
 Chapter 1. Introduction: Maxwell Equations
 Chapter 2. Magnetostatics: "Scalar Potential" Approach
 Chapter 3. Solving for the Scalar Magnetic Potential
 Chapter 4. The Approximate Scalar Potential: Properties and Shortcomings
 Chapter 5. Whitney Elements
 Chapter 6. The "Curl Side": Complementarity
 Chapter 7. Infinite Domains
 Chapter 8. EddyCurrent Problems
 Chapter 9. Maxwell's Model in Harmonic Regime

APPENDIX A. Mathematical Background
 A.1 Basic Notions
 A.2 Important Structures (1/3)
 A.2 Important Structures (2/3)
 A.2 Important Structures (3/3)
 A.3 Our Framework for Electromagnetism: E3 (1/2)
 A.3 Our Framework for Electromagnetism: E3 (2/2)
 A.4 Glimpses of Functional Analysis (1/3)
 A.4 Glimpses of Functional Analysis (2/3)
 A.4 Glimpses of Functional Analysis (3/3)
 References
 APPENDIX B. LDL t Factorization and Constrained Linear Systems
 APPENDIX C. A Cheaper Way to Complementarity
 Author Index
 Subject Index (1/2)
 Subject Index (2/2)
Product information
 Title: Computational Electromagnetism
 Author(s):
 Release date: December 1997
 Publisher(s): Academic Press
 ISBN: 9780080529660
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