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

Gunar Matthies, Piotr Skrzypacz, Lutz Tobiska

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)90-105
Number of pages16
JournalElectronic Transactions on Numerical Analysis
Volume32
Publication statusPublished - 2008
Externally publishedYes

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Convection-diffusion Problems
Mixed Boundary Conditions
Stabilization
Projection
A Priori Error Estimates
Optimal Error Estimates
Projection Method
Convergence Results
Numerical Scheme

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 journalArticle

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