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Parabolic approximations of the convection-diffusion equation

Authors: J.-P. Lohéac, F. Nataf and M. Schatzman
Journal: Math. Comp. 60 (1993), 515-530
MSC: Primary 65N06; Secondary 65N15, 76M20, 76R99
MathSciNet review: 1160276
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Abstract: We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation is of order one in the viscosity. Numerical examples are given to demonstrate the effectiveness of our new approximation.

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Keywords: Convection-diffusion equation
Article copyright: © Copyright 1993 American Mathematical Society

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