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 Stammn 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 MathématiqueISSN
1631-073XIssue
10Volume
345Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC