We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

hp-discontinuous Galerkin finite element methods with least-squares stabilization.

Houston, P. and Jensen, M. and Suli, E. (2002) 'hp-discontinuous Galerkin finite element methods with least-squares stabilization.', Journal of scientific computing., 17 (1-4). pp. 3-25.


We consider a family of hp-version discontinuous Galerkin finite element methods with least-squares stabilization for symmetric systems of first-order partial differential equations. The family includes the classical discontinuous Galerkin finite element method, with and without streamline-diffusion stabilization, as well as the discontinuous version of the Galerkin least-squares finite element method. An hp-optimal error bound is derived in the associated DG-norm. If the solution of the problem is elementwise analytic, an exponential rate of convergence under p-refinement is proved. We perform numerical experiments both to illustrate the theoretical results and to compare the various methods within the family.

Item Type:Article
Keywords:hp-finite element methods, Discontinuous Galerkin methods, Least-squares finite element methods, First order systems PDEs.
Full text:Full text not available from this repository.
Publisher Web site:
Record Created:19 Jul 2007
Last Modified:08 Apr 2009 16:34

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library