Presenting topics that have not previously been contained in a single volume this book offers
an up-to-date review of computational methods in electromagnetism with a focus on recent
results in the numerical simulation of real-life electromagnetic problems and on theoretical
results that are useful in devising and analyzing approximation algorithms. Based on four
courses delivered in Cetraro in June 2014 the material covered includes the spatial
discretization of Maxwell's equations in a bounded domain the numerical approximation of the
eddy current model in harmonic regime the time domain integral equation method (with an
emphasis on the electric-field integral equation) and an overview of qualitative methods for
inverse electromagnetic scattering problems. Assuming some knowledge of the variational
formulation of PDEs and of finite element boundary element methods the book is suitable for
PhD students and researchers interested in numerical approximation of partial differential
equations and scientific computing.