Time discretization of parabolic problems by the discontinuous Galerkin method

Kenneth Eriksson; Claes Johnson; Vidar Thomée

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1985)

  • Volume: 19, Issue: 4, page 611-643
  • ISSN: 0764-583X

How to cite

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Eriksson, Kenneth, Johnson, Claes, and Thomée, Vidar. "Time discretization of parabolic problems by the discontinuous Galerkin method." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 19.4 (1985): 611-643. <http://eudml.org/doc/193462>.

@article{Eriksson1985,
author = {Eriksson, Kenneth, Johnson, Claes, Thomée, Vidar},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {discontinuous Galerkin method; Hilbert space; Error estimates},
language = {eng},
number = {4},
pages = {611-643},
publisher = {Dunod},
title = {Time discretization of parabolic problems by the discontinuous Galerkin method},
url = {http://eudml.org/doc/193462},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Eriksson, Kenneth
AU - Johnson, Claes
AU - Thomée, Vidar
TI - Time discretization of parabolic problems by the discontinuous Galerkin method
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 4
SP - 611
EP - 643
LA - eng
KW - discontinuous Galerkin method; Hilbert space; Error estimates
UR - http://eudml.org/doc/193462
ER -

References

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  1. [1] G.A. BAKER, J. H. BRAMBLE and V. THOMÉE, Single step Galerkin approximations for parabolic problems. Math. comp. 31, 818-847 (1977). Zbl0378.65061MR448947
  2. [2] M. C. DELFOUR, W.W. HAGER and F. TROCHU, Discontinuous Galerkin methods for ordinary differential equations. Math. Comp. 36, 455-473 (1981). Zbl0469.65053MR606506
  3. [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). Zbl0434.65091MR507554
  4. [4] C. JOHNSON, On error estimates for numerical methods for stiff o.d.e's. Preprint, Department of Mathematics, University of Michigan, 1984. 
  5. [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). Zbl0483.65064MR646596
  6. [6] V. THOMÉE, Galerkin Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, 1984. Zbl0528.65052MR744045

Citations in EuDML Documents

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  1. D. Estep, S. Larsson, The discontinuous Galerkin method for semilinear parabolic problems
  2. Guohui Zhou, A local L 2 -error analysis of the streamline diffusion method for nonstationary convection-diffusion systems
  3. Miloslav Feistauer, Jaroslav Hájek, Karel Švadlenka, Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems
  4. Günter Lippold, Error estimates and step-size control for the approximate solution of a first order evolution equation
  5. Konstantinos Chrysafinos, Sotirios P. Filopoulos, Theodosios K. Papathanasiou, Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
  6. Konstantinos Chrysafinos, Sotirios P. Filopoulos, Theodosios K. Papathanasiou, Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
  7. Konstantinos Chrysafinos, Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's

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