Maxwell’s Equations: Analysis and Numerics

✍ Scribed by Ulrich Langer, Dirk Pauly, Sergey Repin

• Publisher: De Gruyter
• Year: 2019
• Tongue: English
• Leaves: 448
• Series: Radon Series on Computational and Applied Mathematics 24
• Category: Library

✦ Synopsis

This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.

✦ Table of Contents

Cover......Page 1
Radon Series on Computational
and Applied Mathematics......Page 3
Maxwell’s
Equations:

Analysis and Numerics......Page 5
© 2019......Page 6
Preface......Page 7
Contents
......Page 11
1 The curl–div system: theory and finite
element approximation
......Page 13
2 Darwin and higher order approximations
to Maxwell’s equations in ℝ3......Page 57
3 Weck’s selection theorem: The Maxwell
compactness property for bounded weak
Lipschitz domains with mixed boundary
conditions in arbitrary dimensions......Page 89
4 Numerical analysis of the half-space
matching method with Robin traces
on a convex polygonal scatterer......Page 117
5 Eigenvalue problems in inverse
electromagnetic scattering theory......Page 157
6 Maxwell eigenmodes in product domains......Page 183
7 Discrete regular decompositions
of tetrahedral discrete 1-forms......Page 211
8 Some old and some new results in inverse
obstacle scattering......Page 271
9 The time-harmonic Maxwell equations
with impedance boundary conditions
in polyhedral domains......Page 297
10 Time-harmonic electro-magnetic scattering
in exterior weak Lipschitz domains with
mixed boundary conditions......Page 353
11 On an electro-magneto-elasto-dynamic
transmission problem......Page 395
12......Page 415