Time discretization of parabolic problems by the discontinuous Galerkin method
Eriksson, Kenneth ; Johnson, Claes ; Thomée, Vidar
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 19 (1985), p. 611-643 / Harvested from Numdam
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@article{M2AN_1985__19_4_611_0,
     author = {Eriksson, Kenneth and Johnson, Claes and Thom\'ee, Vidar},
     title = {Time discretization of parabolic problems by the discontinuous Galerkin method},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {19},
     year = {1985},
     pages = {611-643},
     mrnumber = {826227},
     zbl = {0589.65070},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1985__19_4_611_0}
}

Eriksson, Kenneth; Johnson, Claes; Thomée, Vidar. Time discretization of parabolic problems by the discontinuous Galerkin method. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 19 (1985) pp. 611-643. http://gdmltest.u-ga.fr/item/M2AN_1985__19_4_611_0/

[1] G.A. Baker, J. H. Bramble and V. Thomée, Single step Galerkin approximations for parabolic problems. Math. comp. 31, 818-847 (1977). | MR 448947 | Zbl 0378.65061

[2] M. C. Delfour, W.W. Hager and F. Trochu, Discontinuous Galerkin methods for ordinary differential equations. Math. Comp. 36, 455-473 (1981). | MR 606506 | Zbl 0469.65053

[3] P. Jamet, Galerkin-type approximations which are discontinuous in time for parabolic equations in a variable domain. SIAM J. Numer. Anal. 15, 912-928 (1978). | MR 507554 | Zbl 0434.65091

[4] C. Johnson, On error estimates for numerical methods for stiff o.d.e's. Preprint, Department of Mathematics, University of Michigan, 1984.

[5] M. Luskin and R. Rannacher, On the smoothing property of the Galerkin method for parabolic equations SIAM J. Numer. Anal. 19, 93-113 (1981). | MR 646596 | Zbl 0483.65064

[6] V. Thomée, Galerkin Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, 1984. | MR 744045 | Zbl 0528.65052