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Finite Element Methods For Maxwell's Equations hardcover english - 19 June 2003

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PublisherOxford University Press
ISBN 139780198508885
ISBN 100198508883
Book DescriptionSince 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.
Editorial Review... well-written ... a valuable reference for specialists interested in the mathematical theory of Maxwell's equations relevant to numerical analysis. * Zentralblatt MATH *
LanguageEnglish
AuthorPeter Monk
Publication Date19 June 2003
Number of Pages468

Finite Element Methods For Maxwell's Equations hardcover english - 19 June 2003

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