The mathematical theory of time-harmonic Maxwell's equations [electronic resource] : expansion-, integral-, and variational methods / Andreas Kirsch, Frank Hettlich.
2015
QC670
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Title
The mathematical theory of time-harmonic Maxwell's equations [electronic resource] : expansion-, integral-, and variational methods / Andreas Kirsch, Frank Hettlich.
Author
ISBN
9783319110868 electronic book
3319110861 electronic book
3319110861 electronic book
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xiii, 337 pages) : illustrations (some color).
Item Number
10.1007/978-3-319-11086-8 doi
Call Number
QC670
Dewey Decimal Classification
515.353
Summary
This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Series
Applied mathematical sciences (Springer-Verlag New York Inc.) ; 190.
Available in Other Form
Print version: 9783319110851
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Table of Contents
Introduction
Expansion into Wave Functions
Scattering From a Perfect Conductor
The Variational Approach to the Cavity Problem
Boundary Integral Equation Methods for Lipschitz Domains.
Expansion into Wave Functions
Scattering From a Perfect Conductor
The Variational Approach to the Cavity Problem
Boundary Integral Equation Methods for Lipschitz Domains.