Finite Element Methods for Maxwell's Equations
Series: Numerical Mathematics and Scientific Computation;
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Product details:
- Publisher OUP Oxford
- Date of Publication 17 April 2003
- ISBN 9780198508885
- Binding Hardback
- No. of pages468 pages
- Size 241x161x30 mm
- Weight 875 g
- Language English
- Illustrations numerous line figures, 5 halftones 0
Categories
Short description:
This reference provides 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, and special attention is given to error analysis of edge FEM that are particularly well suited to Maxwell's equations .
MoreLong description:
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.
... well-written ... a valuable reference for specialists interested in the mathematical theory of Maxwell's equations relevant to numerical analysis.
Table of Contents:
Mathematical Models of Electromagnetism
Functional Analysis and Abstract Error Estimates
Sobolev, Spaces, Vector Function Spaces and Regularity
Variational Theory for the Cavity Problem
Finite Elements on Tetrahedra
Finite Elements on Hexahedra
Finite Element Methods for the Cavity Problem
Topics Concerning Finite Elements
Classical Scattering Theory
A First Variational Method for the Scattering Problem
Scattering by a Bounded Inhomogeneity
Scattering by a Buried Object
Implementation and Algorithmic Development
Inverse Problems
Appendix
