The Finite Element Method in Electromagnetics / Edition 2

by Jian-Ming Jin

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

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)

About 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

A Brief Review of Basic Electromagnetics.
Introduction to the Finite Element Method.
One-Dimensional Finite Element Analysis.
Two-Dimensional Finite Element Analysis.
Three-Dimensional Finite Element Analysis.
Variational Principles for Electromagnetics.
Eigenvalue Problems: Waveguides and Cavities.
Vector Finite Elements.
Finite Element-Boundary Integral Methods.
Finite Elements and Eigenfunction Expansion.
Solution of Finite Element Equations.
Appendices.
Index.

Editorial Reviews

...a comprehensive collection of the methods for the discretization of electromagnetic problems...” (Mathematical Reviews, Issue 2004b)

From the Publisher

Provides a treatment for engineers of this numerical analysis technique for electromagnetics, including a brief review of the two classical methods--the Ritz variational method and Galerkin's method--which form the foundation of the finite element method. The author also covers the finite element-absorbing boundary condition methods, finite elements-boundary integral methods, finite element- eigenfunction expansion methods, variational principles, vector finite elements, and applications of the methods to a full range of electromagnetic problems. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

This graduate textbook describes the theory and application of the finite element method for the analysis of electromagnetic problems. Jin (University of Illinois) develops the finite element method in one, two and three dimensions, the analysis of eigenvalue problems, vector finite elements for the modeling of electromagnetic vector wave equations, and eigenvalue expansions for the analysis of open region problems. The second edition adds chapters on absorbing boundary conditions, time domain analysis, and the method of moments. Annotation c. Book News, Inc., Portland, OR (booknews.com)