Linear enhancements of the streamline diffusion method for convection-diffusion problems

Computers and Mathematics with Applications

Volumn 32, Issue 10, 1996, Pages 29-42

  Madden, N ^a   Stynes, M ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Convection diffusion; Convection dominated; Finite element method; Numerical analysis; Streamline diffusion method

Indexed keywords

COMPUTATIONAL METHODS; PROBLEM SOLVING;

CONVECTION DIFFUSION PROBLEMS; STREAMLINE DIFFUSION METHOD;

FINITE ELEMENT METHOD;

EID: 0030286351     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(96)00184-8     Document Type: Article

References (8)

1. K.W. Morton, Numerical Solution of Convection-Diffusion Problems, Chapman and Hall, London, (1996).
2. H.-G. Roos, M. Stynes and L. Tobiska, Numerical Methods for Singularly Perturbed Differential Equations, Springer-Verlag, Berlin, (1996).
3. T.J.R. Hughes and A. Brooks, A multidimensional upwind scheme with no crosswind diffusion, In Finite Element Methods for Convection Dominated Flows, (Edited by T.J.R. Hughes), AMD. Vol. 34, pp. 19-35, ASME, New York, (1979).
4. C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge University Press, Cambridge, (1987).
5. L. Tobiska, A note on the artificial viscosity of numerical schemes, Comp. Fluid Dyn. 5, 281-290, (1995).
6. B. Semper, Numerical crosswind smear in the streamline diffusion method, Comput. Methods Appl. Mech. Engrg. 113, 99-108, (1994).
7. K. Niijima, Pointwise error estimates for a streamline diffusion finite element scheme, Numer. Math. 56, 707-719, (1990).
8. G. Zhou, How accurate is the streamline diffusion method?, Math. Comp. (to appear).