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A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle. (English) Zbl 0553.76075
In this paper we present a new Petrov-Galerkin method for convection- dominated flow problems which is conservative and satisfies the discrete maximum principle. This method also possesses no spurious crosswind diffusion and gives very accurate solutions. The method is representative of a class of methods which may be described as ’fixed-mesh adaptive’.

MSC:
76R10 Free convection
76M99 Basic methods in fluid mechanics
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