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The H1 and H−1 methods

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

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References

  1. 1.
    V. Thomée and L.B. Wahlbin, On Galerkin methods in semilinear parabolic problems. SIAM J. Numer. Anal. 12, 378–389(1975).MathSciNetCrossRefzbMATHGoogle Scholar
  2. 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).Google Scholar
  3. 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).Google Scholar
  4. 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).MathSciNetCrossRefzbMATHGoogle Scholar
  5. 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).MathSciNetCrossRefzbMATHGoogle Scholar

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© Springer-Verlag 1984

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  • Vidar Thomée

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