Local discontinuous Galerkin method for diffusion equations with reduced stabilization

Burman, E and Stamm, B (2009) Local discontinuous Galerkin method for diffusion equations with reduced stabilization. Computer Physics Communications (5). pp. 498-514. ISSN 0010-4655

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Abstract

We extend the results on minimal stabilization of Burman and Stamm [J. Sci. Comp., 33 (2007), pp.~183-208] to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum. Stability in the form of a discrete inf-sup condition is proved and optimal convergence follows. Some numerical examples using high order approximation spaces illustrate the theory.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 21:24
Last Modified: 13 Jun 2012 11:21
URI: http://sro.sussex.ac.uk/id/eprint/31144
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