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Time discretization by the discontinuous Galerkin method

  • Vidar Thomée
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1054)

Keywords

Galerkin Method Nodal Point Discontinuous Galerkin Method Pade Approximant Artificial Boundary Condition 
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References

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    K. Eriksson, C. Johnson and V. Thomée, A discontinuous in time Galerkin method for parabolic type problems. Under preparation.Google Scholar
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    M.C. Delfour, W.W. Hager and F. Trochu, Discontinuous Galerkin methods for ordinary differential equations. Math. Comput. 36, 455–473(1981).MathSciNetCrossRefzbMATHGoogle Scholar
  3. 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).Google Scholar
  4. 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).MathSciNetCrossRefzbMATHGoogle Scholar
  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).MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

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  • Vidar Thomée

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