Pointwise error estimates for a streamline diffusion scheme on a shishkin mesh for a convection-diffusion problem

IMA Journal of Numerical Analysis

Volumn 17, Issue 1, 1997, Pages 29-59

  Guo, Wen ^a   Stynes, Martin ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; HEAT CONVECTION; MESH GENERATION; PIECEWISE LINEAR TECHNIQUES;

CONVECTION DIFFUSION PROBLEMS; DIFFUSION PARAMETERS; NUMERICAL RESULTS; PIECEWISE LINEAR; POINTWISE ERROR ESTIMATE; SHISHKIN MESHES; STREAMLINE DIFFUSION; TIME DEPENDENT;

BOUNDARY LAYERS;

EID: 0009565201     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/17.1.29     Document Type: Article

References (12)

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3. JOHNSON, C. 1987 Numerical Solution of Partial Differential Equations by the Finite Element Method. Cambridge: Cambridge University Press.
4. JOHNSON, C., & NÄVERT U. 1981 An analysis of some finite element methods for advection-diffusion problems. Analytical and Numerical Approaches to Asymptotic Problems in Analysis (O. Axelsson, L. S. Frank and A van der Sluis, eds). Amsterdam; North-Holland, pp 99-116.
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9. ROOS, H.-G., STYNES, M., & TOBISKA, L. 1996 Numerical methods for singularly perturbed differential equations. Berlin: Springer.
10. SHISHKIN, G. I. 1990 Grid approximation of singularly perturbed boundary value problems with convective terms. Sov. J. Numer. Anal. Math. Modelling 5, 173-187.
11. ZHOU, G. 1995 How accurate is the streamline diffusion finite element method? Math. Comput. (To appear).
12. ZHOU, G., & RANNACHER, R. 1996 Pointwise superconvergence of the streamline diffusion finite element method. Numer. Methods Partial Diff. Equations. (To appear)