Abstract
It is demonstrated that the application of an algebraic flux correction (AFC) scheme to a singularly perturbed steady convection–diffusion equation with a non-vanishing right-hand side does not lead to satisfactory results in the boundary layer region. It is proved that it is not possible to construct an AFC scheme of the type considered for which the solution is accurate in the whole computational domain for any convection–diffusion problem with non-vanishing right-hand side.
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