TY - BOOK
AU - Kirsch,Andreas
AU - Hettlich,Frank
ED - SpringerLink (Online service)
TI - The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods
T2 - Applied Mathematical Sciences,
SN - 9783319110868
AV - QA370-380
U1 - 515.353 23
PY - 2015///
CY - Cham
PB - Springer International Publishing, Imprint: Springer
KW - Mathematics
KW - Functional analysis
KW - Partial differential equations
KW - Numerical analysis
KW - Applied mathematics
KW - Engineering mathematics
KW - Partial Differential Equations
KW - Functional Analysis
KW - Appl.Mathematics/Computational Methods of Engineering
KW - Numerical Analysis
N1 - 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
N2 - 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
UR - http://dx.doi.org/10.1007/978-3-319-11086-8
ER -