Abstract
We present the analysis for the local projection stabilization applied to convection-diffusion problems with mixed boundary conditions. We concentrate on the enrichment approach of the local projection methods. Optimal a-priori error estimates will be proved. Numerical tests confirm the theoretical convergence results. Moreover, the local projection stabilization leads to numerical schemes which work well for problems with several types of layers. Away from layers, the solution is captured very well.
| Original language | English |
|---|---|
| Pages (from-to) | 90-105 |
| Number of pages | 16 |
| Journal | Electronic Transactions on Numerical Analysis |
| Volume | 32 |
| Publication status | Published - 2008 |
| Externally published | Yes |
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Keywords
- Convection-diffusion
- Stabilized finite elements
ASJC Scopus subject areas
- Analysis
Cite this
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. / Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz.
In: Electronic Transactions on Numerical Analysis, Vol. 32, 2008, p. 90-105.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
AU - Matthies, Gunar
AU - Skrzypacz, Piotr
AU - Tobiska, Lutz
PY - 2008
Y1 - 2008
N2 - We present the analysis for the local projection stabilization applied to convection-diffusion problems with mixed boundary conditions. We concentrate on the enrichment approach of the local projection methods. Optimal a-priori error estimates will be proved. Numerical tests confirm the theoretical convergence results. Moreover, the local projection stabilization leads to numerical schemes which work well for problems with several types of layers. Away from layers, the solution is captured very well.
AB - We present the analysis for the local projection stabilization applied to convection-diffusion problems with mixed boundary conditions. We concentrate on the enrichment approach of the local projection methods. Optimal a-priori error estimates will be proved. Numerical tests confirm the theoretical convergence results. Moreover, the local projection stabilization leads to numerical schemes which work well for problems with several types of layers. Away from layers, the solution is captured very well.
KW - Convection-diffusion
KW - Stabilized finite elements
UR - http://www.scopus.com/inward/record.url?scp=68149092693&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=68149092693&partnerID=8YFLogxK
M3 - Article
VL - 32
SP - 90
EP - 105
JO - Electronic Transactions on Numerical Analysis
JF - Electronic Transactions on Numerical Analysis
SN - 1068-9613
ER -