@article{M2AN_1995__29_5_577_0, author = {Zhou, Guohui}, title = {A local $L^2$-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {29}, year = {1995}, pages = {577-603}, mrnumber = {1352863}, zbl = {0839.65100}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1995__29_5_577_0} }
Zhou, Guohui. A local $L^2$-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 29 (1995) pp. 577-603. http://gdmltest.u-ga.fr/item/M2AN_1995__29_5_577_0/
[1] Adaptive finite element methods for parabolic problems IV : Nonlinear problems, to appear. | Zbl 0835.65116
, ,[2] Time discretization of parabolic problems by the discontinuous Galerkin method, Math. Modelling and Numer. Anal, 19, 1985, 611-643. | Numdam | MR 826227 | Zbl 0589.65070
, , ,[3] A new finite element formulation for computational fluid dynamics : II. Beyond SUPG, Comput. Methods Appl. Mech. Engrg., 54, 1986, 341-355. | MR 836189 | Zbl 0622.76074
, , ,[4] A new finite element formulation for computational fluid dynamics : III. The general streamline operator for multidimensional advective-diffusive Systems, Comput Methods Appl. Mech. Engrg., 58, 1986, 305-328. | MR 865671 | Zbl 0622.76075
, ,[5] A new finite element formulation for computational fluid dynamics : IV. A discontinuity-capturing operator for multidimensional advective-diffusive Systems, Comput. Methods Appl. Mech. Engrg., 58, 1986, 329-336. | MR 865672 | Zbl 0587.76120
, ,[6] Finite element methods for convection-diffusion problems, in : Computing Methods in Engineering and Applied Sciences V, (R. Glowinski and J. L. Lions, eds.), North-Holland, 1981. | MR 784648 | Zbl 0505.76099
,[7] Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge University Press, 1987. | MR 925005 | Zbl 0628.65098
,[8] An analysis of some finite element methods for advection-diffusion, in Analytical and Numerical Approaches to Asymptotic Problems in Analysis, (O. Axelsson, L. S. Frank and A. van der Sluis, eds.), North-Holland, 1981. | MR 605494 | Zbl 0455.76081
, ,[9] Finite element methods for linear hyperbolic problems, Comput. Methods Appl. Mech. Engrg., 45, 1984, 285-312. | MR 759811 | Zbl 0526.76087
, , ,[10] Crosswind smear and pointwise errors in streamline diffusion finite element methods, Math. Comp., 49, 179, 1987, 25-38. | MR 890252 | Zbl 0629.65111
, , ,[11] A finite element method for convection-diffusion problems, Thesis, Chalmers University of Technology, Göteborg, Sweden, 1982.
,[12] Mesh adaptation via a predictor-corrector strategy in the streamline diffusion method for nonstationary hyperbolic Systems. Proceedings of the 9th GAMM-Seminar Kiel, Eds. W. Hackbusch and G. Wittum, Vieweg Verlag Stuttgart, 1993. | Zbl 0808.65098
, ,[13] Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions, Math. Comp., 54, 190, 1990, 483-493. | MR 1011446 | Zbl 0696.65007
, ,[14] Shock Waves and Reaction-Diffusion Equations, Springer Heidelberg, 1983. | MR 688146 | Zbl 0508.35002
,[15] An adaptive streamline diffusion finite element method for hyperbolic Systems in gas dynamics, Thesis, Heidelberg University, Germany, 1992.
,[16] Local pointwise error estimates for the streamline diffusion method applied to nonstationary hyperbolic problems, SFB 359 Preprint 93-64, Heidelberg University, 1993. | MR 1359411 | Zbl 0837.65100
,[17] Mesh orientation and refinement in the streamline diffusion method, SFB 359 Preprint 93-57, Heidelberg University, 1993.
, ,