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

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

Bollettino dell'Unione Matematica Italiana (2008)

  • Volume: 1, Issue: 3, page 629-643
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Antonietti, Paola F., Brezzi, Franco, and Marini, L.Donatella. "Stabilizations of the Baumann-Oden DG Formulation: the 3D Case." Bollettino dell'Unione Matematica Italiana 1.3 (2008): 629-643. <http://eudml.org/doc/290469>.

@article{Antonietti2008,
abstract = { 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.},
author = {Antonietti, Paola F., Brezzi, Franco, Marini, L.Donatella},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {629-643},
publisher = {Unione Matematica Italiana},
title = {Stabilizations of the Baumann-Oden DG Formulation: the 3D Case},
url = {http://eudml.org/doc/290469},
volume = {1},
year = {2008},
}

TY - JOUR
AU - Antonietti, Paola F.
AU - Brezzi, Franco
AU - Marini, L.Donatella
TI - Stabilizations of the Baumann-Oden DG Formulation: the 3D Case
JO - Bollettino dell'Unione Matematica Italiana
DA - 2008/10//
PB - Unione Matematica Italiana
VL - 1
IS - 3
SP - 629
EP - 643
AB - 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.
LA - eng
UR - http://eudml.org/doc/290469
ER -

References

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