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On the Application of Local Projection Methods to Convection–Diffusion–Reaction Problems

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 69))

Abstract

We apply the local projection stabilization to finite element discretizations of scalar convection-diffusion-reaction equations with mixed boundary conditions. We derive general error estimates and discuss the choice of the stabilization parameter. Numerical results illustrate some drawbacks of the local projection stabilization in comparison to the SUPG method.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Sokolovská, 83, 18675 Praha 8, Czech Republic

    Petr Knobloch

Authors
  1. Petr Knobloch
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Correspondence to Petr Knobloch .

Editor information

Editors and Affiliations

  1. Dept. Mathematics & Statistics, University of Limerick, Limerick, Ireland

    Alan Hegarty

  2. Dept. Mathematics & Statistics, University of Limerick, Limerick, Ireland

    Natalia Kopteva

  3. School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Ireland

    Eugene O'Riordan

  4. Dept. Mathematics, University College Cork, Aras Na Laoi , Cork, Ireland

    Martin Stynes

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© 2009 Springer-Verlag Berlin Heidelberg

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Knobloch, P. (2009). On the Application of Local Projection Methods to Convection–Diffusion–Reaction Problems. In: Hegarty, A., Kopteva, N., O'Riordan, E., Stynes, M. (eds) BAIL 2008 - Boundary and Interior Layers. Lecture Notes in Computational Science and Engineering, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00605-0_14

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