Mathematical Models and Numerical Simulation in Electromagnetism

• ​1 The harmonic oscillator.- 2 The Series RLC Circuit.- 3 Linear electrical circuits.- 4 Maxwell’s equations in free space.- 5 Some solutions of Maxwell’s equations in free space.- 6 Maxwell’s equations in material regions.- 7 Electrostatics.- 8 Direct current.- 9 Magnetostatics.- 10 The eddy currents model.- 11 An introduction to nonlinear magnetics. Hysteresis.- 12 Electrostatics with MaxFEM.- 13 Direct current with MaxFEM.- 14 Magnetostatics with MaxFEM.- 15 Eddy currents with MaxFEM.- 16 RLC circuits with MaxFEM.- A Elements of graph theory.- B Vector Calculus.- C Function spaces for electromagnetism.- D Harmonic regime: average values.- E Linear nodal and edge finite elements.- F Maxwell’s equations in Lagrangian coordinates.

From the book reviews: "The textbook is aimed as basic support for a graduate course in electromagnetism, which presents the mathematical formulation of important electromagnetic topics and integrates numerical simulation of certain phenomena for better qualitative and quantitative understanding. ... This textbook provides a useful graduate-level introduction to mathematical models in electromagnetism. It is suited for students of applied mathematics, physics, or electrical engineering." (Gunther Schmidt, zbMATH, Vol. 1304, 2015)