Electromagnetic field and Joule heating

Evolution of electric field intensity E, magnetic field intensity H and temperature over a randomly generated representative volume element (RVE) of a test material is computed by simultaneously solving dynamic Maxwell’s equations using Yee’s scheme and heat equation using Forward Euler scheme. Below are some sample simulations.

RVE	Ex field over a cross-section
Hx field over a cross-section	Temperature over a cross-section

More details here