Maxwell’s Equations

Published by De Gruyter 2019

Maxwell’s Equations

Analysis and Numerics

Edited by: Ulrich Langer, Dirk Pauly and Sergey Repin

Volume 24 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110543612

Overview
Contents

About this book

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.

A collection of original survey articles on Maxwell's equations
Both analytical as well as computational approaches are presented
Of interest to applied mathematicians, but also to physicists and engineers working in electromagnetism

Author information

Dirk Pauly, U. of Duisburg-Essen, Germany; Sergey Repin, Steklov Institute, Russia; Ulrich Langer, Johannes Kepler U. & RICAM, Austria.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
1. The curl–div system: theory and finite element approximation Ana Alonso Rodríguez, Enrico Bertolazzi and Alberto Valli Requires Authentication Unlicensed Licensed Download PDF	1
2. Darwin and higher order approximations to Maxwell’s equations in R³ Sebastian Bauer Requires Authentication Unlicensed Licensed Download PDF	45
3. Weck’s selection theorem: The Maxwell compactness property for bounded weak Lipschitz domains with mixed boundary conditions in arbitrary dimensions Sebastian Bauer, Dirk Pauly and Michael Schomburg Requires Authentication Unlicensed Licensed Download PDF	77
4. Numerical analysis of the half-space matching method with Robin traces on a convex polygonal scatterer Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss and Yohanes Tjandrawidjaja Requires Authentication Unlicensed Licensed Download PDF	105
5. Eigenvalue problems in inverse electromagnetic scattering theory Samuel Cogar, David Colton and Peter Monk Requires Authentication Unlicensed Licensed Download PDF	145
6. Maxwell eigenmodes in product domains Martin Costabel and Monique Dauge Requires Authentication Unlicensed Licensed Download PDF	171
7. Discrete regular decompositions of tetrahedral discrete 1-forms Ralf Hiptmair and Clemens Pechstein Requires Authentication Unlicensed Licensed Download PDF	199
8. Some old and some new results in inverse obstacle scattering Rainer Kress Requires Authentication Unlicensed Licensed Download PDF	259
9. The time-harmonic Maxwell equations with impedance boundary conditions in polyhedral domains Serge Nicaise and Jérôme Tomezyk Requires Authentication Unlicensed Licensed Download PDF	285
10. Time-harmonic electro-magnetic scattering in exterior weak Lipschitz domains with mixed boundary conditions Frank Osterbrink and Dirk Pauly Requires Authentication Unlicensed Licensed Download PDF	341
11. On an electro-magneto-elasto-dynamic transmission problem Rainer Picard Requires Authentication Unlicensed Licensed Download PDF	383
12. Continuous dependence on the coefficients for a class of non-autonomous evolutionary equations Marcus Waurick Requires Authentication Unlicensed Licensed Download PDF	403

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and graduate students in applied and computational mathematics, physics, and engineering.
Pages
- Front matter: 10
- Main content: 434
Illustrations
- Illustrations: 7
- Coloured Illustrations: 48
- Tables: 20
Keywords: Finite-Elemente-Methode; Funktionalanalysis; Isogeometrische Analyse; Elektromagnetismus; Maxwellsche Gleichungen

eBook

Published: July 8, 2019
ISBN: 9783110543612

Hardcover

Published: July 8, 2019
ISBN: 9783110542646