Skip to main content
SpringerLink
Log in

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

  • Original article
  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik, Institut für Analysis und Numerik, Postfach 4120, D–39016 Magdeburg, Germany e-mail: lutz.angermann@mathematik.uni-magdeburg.de , , , , , , DE

    Lutz Angermann

Authors
  1. Lutz Angermann
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received August 7, 1997 / Revised version received July 15, 1998 / Published online December 6, 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Angermann, L. A finite element method for the numerical solution of convection-dominated anisotropic diffusion equations. Numer. Math. 85, 175–195 (2000). https://doi.org/10.1007/PL00005385

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00005385

Search

Navigation