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A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. (English) Zbl 0622.76075
[For part II see the summary above (Zbl 0622.76074).]
A finite element method based on the SUPG concept is presented for multidimensional advective-diffusive systems. Error estimates for the linear case are established which are valid over the full range of advective-diffusive phenomena.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
80A20 Heat and mass transfer, heat flow (MSC2010)
76N15 Gas dynamics, general
76R99 Diffusion and convection
65Z05 Applications to the sciences
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