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Finite Element Methods for Maxwell's Equations

Finite Element Methods for Maxwell's Equations

by Peter Monk
Hardback
Publication Date: 17/04/2003

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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.
ISBN:
9780198508885
9780198508885
Category:
Maths for scientists
Format:
Hardback
Publication Date:
17-04-2003
Language:
English
Publisher:
Oxford University Press
Country of origin:
United Kingdom
Pages:
468
Dimensions (mm):
241x161x30mm
Weight:
0.88kg

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