Discontinuous Galerkin Finite Elements in Time Domain Eddy-Current Problems

A discontinuous Galerkin finite element approach is presented to solve eddy-current problems in the time domain based on a magnetic vector potential formulation. The mass matrix in the eddy-current region is block-diagonal allowing explicit time stepping without having to solve a large algebraic system here. Traditional finite elements, leading to well conditioned system matrices, are used in the eddy-current free domain. The time steps are different in the two regions. The method is illustrated by a simple two-dimensional example.