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Equadiff 6 pp 339–344Cite as

Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1192)

Keywords

  • Linear Homogeneous Equation
  • Data Error Estimate
  • Yield Error Bound
  • Nonsmooth Data Error Estimate

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References

  1. G.A. Baker, J.H. Bramble and V. Thomée, Single step Galerkin approximations for parabolic problems. Math. Comp. 31 (1977), 818–847.

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  2. J. Blair, Approximate solution of elliptic and parabolic boundary value problems, Thesis, Univ. of California, Berkeley, 1970.

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  3. J.H. Bramble, A.H. Schatz, V. Thomée and L.B. Wahlbin, Some convergence estimates for semilinear Galerkin type approximations for parabolic equations. SIAM J. Numer. Anal. 14 (1977), 218–241.

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  4. M. Crouzeix and V. Thomée, On the discretization in time of semilinear parabolic equations with non-smooth initial data. To appear.

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  5. H.P. Helfrich, Fehlerabschätzungen für das Galerkinverfahren zur Lösung von Evolutionsgleichungen. Manuscr. Math. 13 (1974), 219–235.

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  6. C. Johnson, S. Larsson, V. Thomée and L.B. Wahlbin, Error estimates for semidiscrete approximations of semilinear parabolic equations with non-smooth data. To appear.

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  7. V. Thomée, Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Mathematics no. 1054, Springer-Verlag, 1984.

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© 1986 Equadiff 6 and Springer-Verlag

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Thomée, V. (1986). Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076091

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  • DOI: https://doi.org/10.1007/BFb0076091

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

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