Manav Bhatia <[email protected]> writes: > 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?
You would be giving up local conservation and a local entropy inequality. You're welcome to think of continuous Galerkin as a single huge DG element that happens to use modest order compact basis functions. DG only gives you precise control of whole-cell behavior, and the main problem with high order is dealing with any instabilities that arise inside the cell. ------------------------------------------------------------------------------ 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
