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The H1 and H−1 methods

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References

  1. V. Thomée and L.B. Wahlbin, On Galerkin methods in semilinear parabolic problems. SIAM J. Numer. Anal. 12, 378–389(1975).

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  2. J. Douglas, Jr., T. Dupont and M.F. Wheeler, Some superconvergence results for an H1 Galerkin procedure for the heat equation. Lecture notes in Computer Science, vol. 10, Springer-Verlag, New York, pp. 288–311(1974).

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  3. J. Douglas, Jr., T. Dupont and M.F. Wheeler, H1-Galerkin methods for the Laplace and heat equations. Mathematical Aspects of Finite Elements in Partial Differential Equations, ed. C. de Boor. Academic Press, pp. 383–416(1974).

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  4. M.F. Wheeler, An H−1 Galerkin method for a parabolic problem in a single space variable. SIAM J. Numer. Anal. 12, 803–807(1975).

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  5. M. Huang and V. Thomée, An error estimate for the H−1 Galerkin method for a parabolic problem with non-smooth initial data. Calcolo 19, 115–124(1982).

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© 1984 Springer-Verlag

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Thomée, V. (1984). The H1 and H−1 methods. In: Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Mathematics, vol 1054. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071802

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  • DOI: https://doi.org/10.1007/BFb0071802

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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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