Electromagnetic Theory and Computation

This 2004 book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation.

1. From vector calculus to algebraic topology; 2. Quasistatic electromagnetic fields; 3. Duality theorems for manifolds with boundary; 4. The finite element method and data structures; 5. Computing eddy currents on thin conductors with scalar potentials; 6. An algorithm to make cuts for magnetic scalar potentials; 7. A paradigm problem.