Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions

Gunar Matthies; Piotr Skrzypacz; Lutz Tobiska

Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions

Gunar Matthies, Piotr Skrzypacz, Lutz Tobiska

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

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 - Dec 1 2008

Keywords

Convection-diffusion
Stabilized finite elements

ASJC Scopus subject areas

Analysis

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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.

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KW - Stabilized finite elements

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