Defect correction methods for convection dominated convection-diffusion problems

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1. [1] O. AXELSSON, On the numencal solution of convection dominated, convection-diffusion problems, in : Math. Meth. Energy Res. (K. I. Gross, ed. ), SIAM,Philadelphia, 1984. Zbl0551.76077MR790509
2. [2] O. AXELSSON, Stability and error estimates of Galerkin finite element approximations for convection-diffusion equations, I. M. A. J. Numer. Anal., 1 (1981), 329-345. Zbl0508.76069MR641313
3. [3] W. ECKHAUS, Boundary layers in linear elliptic singular perturbation problems, SIAM Review, 14 (1972), 225-270. Zbl0234.35009MR600325
4. [4] V. ERVIN and W. LAYTON, High resolution minimal storage algorithms for convection dommated, convection diffusion equations, pp 1173-1201 in Tiams : of the Fourth Arms Conf. on Appl. Math. and Comp., 1987. Zbl0625.76095MR905115
5. [5] V. ERVIN and W. LAYTON, An analysis of a defect correction method for a model convection diffusion equations, SIAM J. N. A. 26 (1989) 169-179. Zbl0672.65063MR977954
6. [6] P. W. HEMKER, Mixed defect correction iteration for the accurate solution of the convection diffusion equation, pp 485-501 in : Multigrid Methods, L. N. M. vol. 960, (W. Hackbusch and U. Trottenberg, eds.) Springer Verlag, Berlin 1982. Zbl0505.65047MR685785
7. [7] P. W. HEMKER, The use of defect correction for the solution of a singularly perturbed o.d.e., preprint. CWI, Amsterdam, 1983. Zbl0504.65050
8. [8] C. JOHNSON and U. NÄVERT, An analysis of some finite element methods for advection diffusion problems, in : Anal. and Numer. Approaches to Asym. Probs. in Analysis (O. Axelson, L. S. Frank and A. van der Sluis, eds.) North Holland, 1981, 99-116. Zbl0455.76081MR605502
9. [9] C. JOHNSON and U. NÄVERT and J. PITKARANTA, Finite element methods for linear hyperbolic problems, Comp. Meth. Appl. Mech. Eng., 45 (1984), 285-312. Zbl0526.76087MR759811
10. [10] C. JOHNSON and A. H. SCHATZ and L. B. WAHLBIN, Crosswind smear and pointwise errors in streamline diffusion finite element methods, Math. Comp., 49 (1987), 25-38. Zbl0629.65111MR890252
11. [11] C. MIRANDA, Partial differential equations of elliptic type, Springer Verlag, Berlin, 1980. Zbl0198.14101MR284700
12. [12] U. NÄVERT, A finite element method for convection diffusion problems, Ph. D. Thesis, Chalmers Inst. of Tech., 1982. 
13. [13] A. H. SCHATZ and L. WAHLBTN, On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions, Math. Comp. 40 (1983), pp 47-89. Zbl0518.65080MR679434