@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: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {577--603},
year = {1995},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {29},
number = {5},
mrnumber = {1352863},
zbl = {0839.65100},
language = {en},
url = {https://www.numdam.org/item/M2AN_1995__29_5_577_0/}
}
TY - JOUR AU - Zhou, Guohui TI - A local $L^2$-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1995 SP - 577 EP - 603 VL - 29 IS - 5 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1995__29_5_577_0/ LA - en ID - M2AN_1995__29_5_577_0 ER -
%0 Journal Article %A Zhou, Guohui %T A local $L^2$-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems %J ESAIM: Modélisation mathématique et analyse numérique %D 1995 %P 577-603 %V 29 %N 5 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1995__29_5_577_0/ %G en %F 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: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 5, pp. 577-603. https://www.numdam.org/item/M2AN_1995__29_5_577_0/
[1] , , Adaptive finite element methods for parabolic problems IV : Nonlinear problems, to appear. | Zbl
[2] , , , Time discretization of parabolic problems by the discontinuous Galerkin method, Math. Modelling and Numer. Anal, 19, 1985, 611-643. | Zbl | MR | Numdam
[3] , , , A new finite element formulation for computational fluid dynamics : II. Beyond SUPG, Comput. Methods Appl. Mech. Engrg., 54, 1986, 341-355. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[7] , Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge University Press, 1987. | Zbl | MR
[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. | Zbl | MR
[9] , , , Finite element methods for linear hyperbolic problems, Comput. Methods Appl. Mech. Engrg., 45, 1984, 285-312. | Zbl | MR
[10] , , , Crosswind smear and pointwise errors in streamline diffusion finite element methods, Math. Comp., 49, 179, 1987, 25-38. | Zbl | MR
[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
[13] , , Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions, Math. Comp., 54, 190, 1990, 483-493. | Zbl | MR
[14] , Shock Waves and Reaction-Diffusion Equations, Springer Heidelberg, 1983. | Zbl | MR
[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. | Zbl | MR
[17] , , Mesh orientation and refinement in the streamline diffusion method, SFB 359 Preprint 93-57, Heidelberg University, 1993.





