Vanishing dummy flat elements with thickness-proportional diffusion turn continuous FEM into Babuška-Zlámal DG for the Poisson problem, with optimal error estimates.
A brief survey on discontinuous Galerkin methods in computational fluid dynamics
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DG = FEM + flat elements, Part I: Diffusion
Vanishing dummy flat elements with thickness-proportional diffusion turn continuous FEM into Babuška-Zlámal DG for the Poisson problem, with optimal error estimates.