Finite Element Methods for Maxwell's Equations

P. Monk

ISBN 10: 0198508883 / ISBN 13: 9780198508885

Published by Oxford University Press (UK) Jun 2003, 2003

About this Item

Neuware - 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 toprovide 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 developedand 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.

Seller Inventory # 9780198508885

Bibliographic Details

• Title: Finite Element Methods for Maxwell's Equations
• Publisher: Oxford University Press (UK) Jun 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 0198508883
• ISBN 13: 9780198508885
• Binding: Buch
• Condition: Neu

About this title

Synopsis

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.

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