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A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems. (English) Zbl 0626.76091
A systematic procedure to obtain the appropriate upwind direction and associated Petrov-Galerkin weighting function for the advection-diffusion equation is presented. It is shown that sharp internal and boundary layers are accurately approximated with this new method.

MSC:
76R50 Diffusion
76M99 Basic methods in fluid mechanics
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