Numerische Mathematik

, Volume 85, Issue 2, pp 175–195 | Cite as

A finite element method for the numerical solution of convection-dominated anisotropic diffusion equations

  • Lutz Angermann
Original article


The proposed method is based on an additive decomposition of the differential operator and the subsequent fitted discretization of the resulting components. For standard situations, the derived stability and error estimates in the energy norm qualitatively coincide with well-known estimates. In the case of small diffusion, a uniform error estimate with reduced order is obtained.

Mathematics Subject Classification (1991):65N30, 76R05, 65N12 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Lutz Angermann
    • 1
  1. 1.Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik, Institut für Analysis und Numerik, Postfach 4120, D–39016 Magdeburg, Germany e-mail: DE

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