Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.

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Bibliographic Details

Title: Finite Element Methods for Maxwell's Equations
Publisher: Oxford University Press, GB
Publication Date: 2003
Language: English
ISBN 10: 0198508883
ISBN 13: 9780198508885
Binding: Hardback
Condition: New

About this title

Synopsis

Finite Element Methods For Maxwell's Equations is the first book to present the use of finite elements to analyze Maxwell's equations. This book is part of the Numerical Analysis and Scientific Computation Series.

About the Author

Prof. P. Monk Department of Mathematical Sciences University of Delaware Newark DE 19716 USA Tel +1-302-831-1873 Fax +1-302-831-4511 monk@udel.edu UNIDEL Professor of Mathematical Sciences, University of Delaware, USA British, Shrewsbury UK, 18th December 1956

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