Eigestad, G. T.; Aavatsmark, I.; Espedal, M. Symmetry and M-matrix issues for the O-method on an unstructured grid. (English) Zbl 1094.76551 Comput. Geosci. 6, No. 3-4, 381-404 (2002). Summary: 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 \(-\nabla \cdot ({\mathbf K}\nabla p)\) is discretized based on these discretization principles. Cited in 9 Documents MSC: 76M20 Finite difference methods applied to problems in fluid mechanics 76S05 Flows in porous media; filtration; seepage Keywords:control volume; discretization; multi-point flux approximation; unstructured grid PDF BibTeX XML Cite \textit{G. T. Eigestad} et al., Comput. Geosci. 6, No. 3--4, 381--404 (2002; Zbl 1094.76551) Full Text: DOI OpenURL