Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations

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High‐order continuous and discontinuous Galerkin methods for wave problems (2013, background): “The major difference between the mean and the jump operator is that the latter always involves the normal to the interface, see [55] for more details.”
Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems (2013, background): “The jump operator J·K is defined in [47] with the normal explicitly written to clarify the nature of the resulting function.”
Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations ✩ (2014, unknown): “The jump · operator is deﬁned at each internal face of Γ, i.e. on Γ ∂ Ω, using values from the elements to the left and right of the face (say, Ω i and Ω j ), namely and always involving the normal vector n , see [31] for details.”
Tutorial on Hybridizable Discontinuous Galerkin (HDG) for second-order elliptic problems (2016, background): “Note that the jump J·K operator has been introduced following the definition by Montlaur et al. (2008). That is, along each portion of the interface Γ it sums the values from the left and right of say, Ωi and Ωj , namely J K = i + j .”