Linear enhancements of the streamline diffusion method for convection-diffusion problems. (English) Zbl 0870.65100

Madden, N.; Stynes, M.

Comput. Math. Appl. 32, No. 10, 29-42 (1996).

This paper investigates simple linear modifications of the streamline diffusion finite element method that improve its numerical accuracy on coarse meshes: these enhancements include the a priori addition of skew diffusion and of local isotropic diffusion, and the postprocessing of solutions. Numerical experiments show the effectiveness of these modifications. The paper is nicely written and well illustrated.

Reviewer: M.Bernadou (Le Chesnay)

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25	Boundary value problems for second-order elliptic equations

Keywords:

convection-diffusion; convection-dominated; numerical experiments; streamline diffusion finite element method

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