Charge-conserving hybrid methods for the Yang–Mills equations

The Yang-Mills equations generalize Maxwell's to nonabelian gauge groups, and a quantity analogous charge is locally conserved by the nonlinear time evolution. Christiansen Winther observed that, in case, Galerkin method with Lie algebra-valued finite element differential forms appears conserve globally but not locally, even weak sense. We introduce new hybridization of this method, give an alternative expression for numerical terms hybrid variables, show that local, per-element conservation law automatically holds.