| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910299783503321 |
|
|
Autore |
Kirsch Andreas |
|
|
Titolo |
The Mathematical Theory of Time-Harmonic Maxwell's Equations : Expansion-, Integral-, and Variational Methods / / by Andreas Kirsch, Frank Hettlich |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2015.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XIII, 337 p. 3 illus., 1 illus. in color.) |
|
|
|
|
|
|
Collana |
|
Applied Mathematical Sciences, , 0066-5452 ; ; 190 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Partial differential equations |
Functional analysis |
Applied mathematics |
Engineering mathematics |
Numerical analysis |
Partial Differential Equations |
Functional Analysis |
Mathematical and Computational Engineering |
Numerical Analysis |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
| |