---

＜電子ブック＞
The Mathematical Theory of Time-Harmonic Maxwell's Equations : Expansion-, Integral-, and Variational Methods / by Andreas Kirsch, Frank Hettlich
(Applied Mathematical Sciences. ISSN:2196968X ; 190)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	XIII, 337 p. 3 illus., 1 illus. in color : online resource
著者標目	*Kirsch, Andreas author Hettlich, Frank author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Functional analysis LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Numerical analysis FREE:Differential Equations FREE:Functional Analysis FREE:Mathematical and Computational Engineering Applications FREE:Numerical Analysis
一般注記	Introduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-319-11086-8

 類似資料