Convergence of Finite Element Galerkin Approximations on Galerkin Problems
J. A. Nitsche (1978)
Publications mathématiques et informatique de Rennes
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J. A. Nitsche (1978)
Publications mathématiques et informatique de Rennes
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Švadlenka, Karel
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Pierpaolo Omari (1989)
Mathematische Zeitschrift
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Kučera, Václav
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Kučera, Václav
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J. Saranen, K. Ruotsalainen (1989)
Numerische Mathematik
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Paola F. Antonietti, Franco Brezzi, L.Donatella Marini (2008)
Bollettino dell'Unione Matematica Italiana
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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.