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Symmetry and M-Matrix Issues for the O-Method on an Unstructured Grid

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Abstract

More sophisticated discretization methods than the traditional control-volume finite-difference methods, have been proposed by Aavatsmark et al. in recent papers for solving the mass balance equations for porous media flow. These methods are based on a local representation of fluxes across cell-edges of control volumes (CVs). This paper will focus on mathematical properties of the discrete operator that arises when an elliptic term of the form −∇⋅(K∇p) is discretized based on these discretization principles.

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Authors and Affiliations

  1. Department of Mathematics, University of Bergen, Norway

    G.T. Eigestad & M. Espedal

  2. Norsk Hydro Research Centre, Bergen, Norway

    I. Aavatsmark

Authors
  1. G.T. Eigestad
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  2. I. Aavatsmark
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  3. M. Espedal
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Eigestad, G., Aavatsmark, I. & Espedal, M. Symmetry and M-Matrix Issues for the O-Method on an Unstructured Grid. Computational Geosciences 6, 381–404 (2002). https://doi.org/10.1023/A:1021239130404

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