The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders - Laboratoire Jacques-Louis Lions Accéder directement au contenu
Article Dans Une Revue Comptes rendus de l'Académie des sciences. Série I, Mathématique Année : 2007

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders

Résumé

In this Note we prove that in one space dimension, the symmetric discontinuous Galerkin method for second order elliptic problems is stable for polynomial orders p⩾2 without using any stabilization parameter. The method yields optimal convergence rates in both the energy norm (L2-norm of broken gradient plus jump terms) and the L2-norm and can be written in conservative form with fluxes independent of any stabilization parameter.

Dates et versions

hal-01090911 , version 1 (04-12-2014)

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Citer

Erik Burman, Alexandre Ern, Igor Mozolevski, Benjamin Stamm. The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (10), pp.599--602. ⟨10.1016/j.crma.2007.10.028⟩. ⟨hal-01090911⟩
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