Two conforming DG formulations on polytopal meshes are introduced with optimal error estimates in discrete H1 and L2 norms via a designed weak gradient.
Babuˇ ska, The finite element method with penalty, Math
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A conforming discontinuous Galerkin finite element method: Part II
Two conforming DG formulations on polytopal meshes are introduced with optimal error estimates in discrete H1 and L2 norms via a designed weak gradient.