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Sufficient conditions for the stability of a CABARET approximation of multidimensional convection-diffusion equations on orthogonal computational grids

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Abstract

Using the positive definite feature of mesh quadratic forms, we obtain sufficient conditions for the stability of the CABARET scheme, including the case of predominant convection that is important in practical applications.

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Correspondence to B. I. Berezin.

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Original Russian Text © B I. Berezin, D.V. Blagodatskikh, 2013, published in Vestnik Moskovskogo Universiteta. Vychislitel’naya Matematika i Kibernetika, 2013, No. 4, pp. 3–8.

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Berezin, B.I., Blagodatskikh, D.V. Sufficient conditions for the stability of a CABARET approximation of multidimensional convection-diffusion equations on orthogonal computational grids. MoscowUniv.Comput.Math.Cybern. 37, 155–161 (2013). https://doi.org/10.3103/S0278641913040031

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  • DOI: https://doi.org/10.3103/S0278641913040031

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