University of Sussex
Browse

File(s) not publicly available

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders pgreater-or-equal, slanted2

journal contribution
posted on 2023-06-08, 06:20 authored by E Burman, A Ern, I Mozolevski, B Stamm
n this Note we prove that in one space dimension, the symmetric discontinuous Galerkin method for second order elliptic problems is stable for polynomial orders p2 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.

History

Publication status

  • Published

Journal

Comptes Rendus Mathématique

ISSN

1631-073X

Issue

10

Volume

345

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC