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Time discretization by the discontinuous Galerkin method

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Galerkin Finite Element Methods for Parabolic Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1054))

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References

  1. K. Eriksson, C. Johnson and V. Thomée, A discontinuous in time Galerkin method for parabolic type problems. Under preparation.

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  2. M.C. Delfour, W.W. Hager and F. Trochu, Discontinuous Galerkin methods for ordinary differential equations. Math. Comput. 36, 455–473(1981).

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  3. P. Lesaint and P.A. Raviart, On a finite element method for solving the neutron transport equation. Mathematical Aspects of Finite Elements in Partial Differential Equations, ed. de Boor, Academic Press, 89–123(1974).

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  4. 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).

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  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).

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Authors
  1. Vidar Thomée
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© 1984 Springer-Verlag

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Thomée, V. (1984). Time discretization by the discontinuous Galerkin method. In: Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Mathematics, vol 1054. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071799

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  • DOI: https://doi.org/10.1007/BFb0071799

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12911-0

  • Online ISBN: 978-3-540-38793-0

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