The Finite Element Method in Electromagnetics / Edition 2

The Finite Element Method in Electromagnetics / Edition 2

5.0 2
by Jian-Ming Jin
     
 

A systematic treatment of the finite element method

"Anyone interested in the state of the art in finite element formulations will find this book an interesting read. In particular, I would strongly recommend it to those members of the electromagnetic community who are involved in high-frequency applications."
-Measurement Science and Technology

The finite

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Overview

A systematic treatment of the finite element method

"Anyone interested in the state of the art in finite element formulations will find this book an interesting read. In particular, I would strongly recommend it to those members of the electromagnetic community who are involved in high-frequency applications."
-Measurement Science and Technology

The finite element method is one of the preeminent simulation techniques for obtaining solutions to boundary-value problems in mathematical physics. It has applications in a variety of engineering and scientific studies, such as antennas, radar, microwave engineering, high-speed/high-frequency circuits, wireless communication, electro-optical engineering, remote sensing, bioelectromagnetics, and geoelectromagnetics. This Second Edition of an essential text teaches the finite element method for electromagnetic analysis. It offers engineers a methodical way to quickly master this very powerful technique for solving practical, often complicated, engineering problems.

This book provides the first systematic treatment of this numerical analysis technique for electromagnetics, including a brief overview of the two classic methods-the Ritz variational method and Galerkin's method-which form the foundation of the finite element function. Employing an example to introduce the concept of the finite element method and describe the essential steps of the technique, the author lays the groundwork for a broad-based understanding of the finite element method's usefulness. He completes his coverage by describing the finite element analysis of one-, two-, and three-dimensional problems, developing for each problem a rigorous finite element solution in general form from which solutions to specific problems can be deduced.

Carefully updated to include the most recent developments, the Second Edition now includes new coverage of:
* Absorbing boundary conditions
* A hybrid technique for pen-region scattering and radiation problems
* Eigenfunction expansions on elliptical boundaries
* Time-domain analysis of transient electromagnetic problems
* The method of moments and its fast solvers

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Product Details

ISBN-13:
9780471438182
Publisher:
Wiley
Publication date:
05/28/2002
Edition description:
REV
Pages:
780
Product dimensions:
6.34(w) x 9.25(h) x 1.78(d)

Meet the Author

JIANMING JIN, PhD, earned his doctorate in electrical engineering at the University of Michigan and is currently a professor at the University of Illinois. He is the author of the first edition of The Finite Element Method in Electromagnetics, Computation of Special Functions (with S. Zhang; published by Wiley), Electromagnetic Analysis and Design in Magnetic Resonance Imaging, and coedited (with W. C. Chew, E. Michielssen, and J. M. Song) Fast and Efficient Algorithms in Computational Electromagnetics.

Table of Contents

Preface
Preface to the First Edition
Acknowledgments
1Basic Electromagnetic Theory1
2Introduction to the Finite Element Method19
3One-Dimensional Finite Element Analysis45
4Two-Dimensional Finite Element Analysis89
5Three-Dimensional Finite Element Analysis165
6Variational Principles for Electromagnetics211
7Eigenvalue Problems: Waveguides and Cavities233
8Vector Finite Elements273
9Absorbing Boundary Conditions339
10Finite Element-Boundary Integral Methods407
11Finite Elements and Eigenfunction Expansion487
12Finite Element Analysis in the Time Domain529
13Solution of Finite Element Equations585
14The Methods of Moments and Fast Solvers639
App. AA Vector Identities and Integral Theorems709
App. BThe Ritz Procedure for Complex-Valued Problems713
App. CGreen's Functions715
App. DSingular Integral Evaluation727
App. ESpecial Functions733
Index743

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