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A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension

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Summary.

Convergence of a posteriori error estimates to the true error for the semidiscrete finite element method of lines is shown for a nonlinear parabolic initial-boundary value problem.

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Authors and Affiliations

  1. Mathematical Institute of the Academy of Sciences, Žitná 25, CZ-115 67 Praha 1, Czech Republic; e-mail: segeth@math.cas.cz, Fax +4202-22211638 , , , , , , CZ

    K. Segeth

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  1. K. Segeth
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Received June 15, 1997 / Revised version received May 15, 1998 / Published online: June 29, 1999

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Segeth, K. A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension. Numer. Math. 83, 455–475 (1999). https://doi.org/10.1007/s002110050459

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  • DOI: https://doi.org/10.1007/s002110050459