Maxwell’s equations : analysis and numerics This volume collects longer articles on the analysis and numerics of Maxwells equations. The topics include functional analytic and Hilbert space methods compact embeddings solution theories and asymptotics electromagnetostatics time harmonic Maxwells equations time dependent Maxwells equations eddy current approximations scattering and radiation problems inverse problems finite element methods boundary element methods and isogeometric analysis Frontmatter Preface Contents 1. The curl div system: theory and finite element approximation Alonso Rodríguez Ana Bertolazzi Enrico Valli Alberto 2. Darwin and higher order approximations to Maxwells equations in R3 Bauer Sebastian 3. Wecks selection theorem: The Maxwell compactness property for bounded weak Lipschitz domains with mixed boundary conditions in arbitrary dimensions Bauer Sebastian Pauly Dirk Schomburg Michael 4. Numerical analysis of the half space matching method with Robin traces on a convex polygonal scatterer Bonnet Ben Dhia Anne Sophie Fliss Sonia Tjandrawidjaja Yohanes 5. Eigenvalue problems in inverse electromagnetic scattering theory Cogar Samuel Colton David Monk Peter 6. Maxwell eigenmodes in product domains Costabel Martin Dauge Monique 7. Discrete regular decompositions of tetrahedral discrete 1 forms Hiptmair Ralf Pechstein Clemens 8. Some old and some new results in inverse obstacle scattering Kress Rainer 9. The time harmonic Maxwell equations with impedance boundary conditions in polyhedral domains Nicaise Serge Tomezyk Jérôme 10. Time harmonic electro magnetic scattering in exterior weak Lipschitz domains with mixed boundary conditions Osterbrink Frank Pauly Dirk 11. On an electro magneto elasto dynamic transmission problem Picard Rainer 12. Continuous dependence on the coefficients for a class of non autonomous evolutionary equations Waurick Marcus