hp-Discontinuous Galerkin finite element methods with least-squares stabilization

Houston, Paul, Jensen, Max and Süli, Endre (2002) hp-Discontinuous Galerkin finite element methods with least-squares stabilization. Journal of Scientific Computing, 17 (1-4). pp. 3-25. ISSN 0885-7474

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Abstract

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
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User: Max Jensen
Date Deposited: 19 Jun 2013 09:18
Last Modified: 19 Jun 2013 09:18
URI: http://sro.sussex.ac.uk/id/eprint/45496
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