Publication

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

Erik Burman
2007
Journal Articles

Abstract

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 $p \ge 2$ without using any stabilization parameter. The method yields optimal convergence rates in both the broken energy norm and the $L^2$ - norm and can be written in conservative form with fluxes independent of any stabilization parameter.

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Erik Burman
2007
Journal Articles

Abstract

Official source

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The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

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