On Apr 18, 2013, at 6:29 PM, Jed Brown <[email protected]> wrote:
> lorenzo alessio botti <[email protected]> writes: > >> In my experience dG works without stabilization and additional artificial >> viscosity > > This is generally attributed to the cell entropy inequality. > > http://www.ams.org/journals/mcom/1994-62-206/S0025-5718-1994-1223232-7/ > > This is the best stability result I'm aware of for any high order linear > spatial discretization. Well, the question in my mind is: what happens with DG when the element is increased to the size of the complete flow domain (so we have one element) and the interpolation order is increased gradually. Wouldn't DG in this case reduce to the basic Galerkin method, which is known to be unstable? Or is DG still guaranteed to give stable solutions? Manav ------------------------------------------------------------------------------ Precog is a next-generation analytics platform capable of advanced analytics on semi-structured data. The platform includes APIs for building apps and a phenomenal toolset for data science. Developers can use our toolset for easy data analysis & visualization. Get a free account! http://www2.precog.com/precogplatform/slashdotnewsletter _______________________________________________ Libmesh-users mailing list [email protected] https://lists.sourceforge.net/lists/listinfo/libmesh-users
