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 - 2008/12/1
Y1 - 2008/12/1
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
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M3 - Article
AN - SCOPUS:68149092693
VL - 32
SP - 90
EP - 105
JO - Electronic Transactions on Numerical Analysis
JF - Electronic Transactions on Numerical Analysis
SN - 1068-9613
ER -