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Stabilizations of the Baumann-Oden DG Formulation: the 3D Case

Paola F. Antonietti; Franco Brezzi; L.Donatella Marini — 2008

Bollettino dell'Unione Matematica Italiana

We consider the Baumann-Oden Discontinuous Galerkin formulation in three dimensions in a rather general geometrical setting. Using only piecewise linear approximations (and no jump stabilizations) the method is clearly unstable. We discuss the relations of possible jump stabilizations and bubble stabilizations.

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