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

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Computing and Visualization in Science

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.

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Authors and Affiliations

  1. Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, USA , , , , , , US

    Randolph E. Bank

  2. Computing Sciences Research Center, Bell Labs, Lucent Technologies, Murray Hill, NJ 07974, USA , , , , , , US

    W.M. Coughran, Jr. & Lawrence C. Cowsar

Authors
  1. Randolph E. Bank
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  2. W.M. Coughran, Jr.
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  3. Lawrence C. Cowsar
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Received: 11 November 1997 / Accepted: 4 March 1998

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Bank, R., Coughran, Jr., W. & Cowsar, L. The Finite Volume Scharfetter-Gummel method for steady convection diffusion equations. Comput Visual Sci 1, 123–136 (1998). https://doi.org/10.1007/s007910050012

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  • DOI: https://doi.org/10.1007/s007910050012

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