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.
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Bíró et al. (2009) studied this question.
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