A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation

Burman, Erik (2009) A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation. SIAM Journal on Numerical Analysis, 47 (5). pp. 3584-3607. ISSN 0036-1429

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Abstract

In this note we consider residual-based a posteriori error estimation for finite element approximations of the transport equation. For the discretization we use piecewise affine continuous or discontinuous finite elements and symmetric stabilization of interior penalty type. The lowest order discontinuous Galerkin method using piecewise constant approximation is included as a special case. The key elements in the analysis are a saturation assumption and an approximation result for interpolation between discrete spaces.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 19:45
Last Modified: 09 Jul 2012 15:07
URI: http://sro.sussex.ac.uk/id/eprint/22043
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