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Computing and Visualization in Science

, Volume 1, Issue 3, pp 123–136 | Cite as

The Finite Volume Scharfetter-Gummel method for steady convection diffusion equations

  • Randolph E. Bank
  • W.M. Coughran, Jr.
  • Lawrence C. Cowsar
Regular article

Abstract.

A priori error estimates are given for the Finite Volume Scharfetter-Gummel (FVSG) discretization of the steady convection diffusion equation by showing that the FVSG method gives the same discretization as the Edge Averaged Finite Element method of Markowich and Zlámal [9] and Xu and Zikatanov [14]. The analysis also suggests a class of modifications for triangulations containing obtuse angles. Numerical results comparing the FVSG method and a modified FVSG method to other discretizations are included.

Keywords

Convection Finite Element Method Error Estimate Diffusion Equation Finite Volume 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Randolph E. Bank
    • 1
  • W.M. Coughran, Jr.
    • 2
  • Lawrence C. Cowsar
    • 2
  1. 1. Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, USA US
  2. 2. Computing Sciences Research Center, Bell Labs, Lucent Technologies, Murray Hill, NJ 07974, USA US

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