A Gradient-Divergence Operator-Regularized Electromagneto-Quasistatic Field Formulation

Electromagneto-quasistatic (EMQS) field formulations model resistive, capacitive, and inductive effects, while disregarding wave propagation. When such formulations are expressed in terms of a magnetic vector potential and of a scalar electric potential, the uniqueness of solutions requires additional gauging constraints, on top of suitable initial and boundary data. Here, a gauging based on the addition of a discrete gradient-divergence operator is presented for EMQS frequency-domain field formulations, in the context of
$H(\rm curl)$
-conforming finite elements, and is numerically verified.