Computational Electromagnetism: Cetraro, Italy 2014

✍ Scribed by Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez (auth.), Alfredo Bermúdez de Castro, Alberto Valli (eds.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 249
• Series: Lecture Notes in Mathematics 2148
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-vii
Maxwell’s Equations: Continuous and Discrete....Pages 1-58
Numerical Approximation of Maxwell Equations in Low-Frequency Regime....Pages 59-110
Time Domain Integral Equation Methods in Computational Electromagnetism....Pages 111-189
Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems....Pages 191-240
Back Matter....Pages 241-242

✦ Subjects

Computational Mathematics and Numerical Analysis; Optics and Electrodynamics; Partial Differential Equations; Numerical and Computational Physics