A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
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'.
scientific article; zbMATH DE number 3882104
scientific article