Abstract
A posteriori error estimates are derived for unsteady convection-diffusion equations discretized with the non-symmetric interior penalty and the local discontinuous Galerkin methods. First, an error representation formula in a user specified output functional is derived using duality techniques. Then, an Lt2(Lx2) a posteriori estimate consisting of elementwise residual-based error indicators is obtained by eliminating the dual solution. Numerical experiments are performed to assess the convergence rates of the various error indicators on a model problem.
| Original language | English |
|---|---|
| Pages (from-to) | 833-841 |
| Number of pages | 9 |
| Journal | Applied Mathematics Letters |
| Volume | 18 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2005 |
Keywords
- A posteriori error estimates
- Convection-diffusion equations
- Duality techniques
- Local discontinuous Galerkin
- Non-symmetric interior penalty
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