Burman, E;
(2009)
A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation.
SIAM Journal on Numerical Analysis
, 47
(5)
3584 - 3607.
10.1137/080733899.
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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.
| Type: | Article |
|---|---|
| Title: | A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/080733899 |
| Publisher version: | http://dx.doi.org/10.1137/080733899 |
| Language: | English |
| Additional information: | Copyright © 2009 Society for Industrial and Applied Mathematics |
| Keywords: | a posteriori error estimation, advection-reaction equations, finite element method, stabilization, discontinuous Galerkin, saturation assumption |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1384744 |
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