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Fully discrete mixed finite element method for a quasilinear stefan problem with a forcing term in non-divergence form

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Abstract

Based on a mixed Galerkin approximation, we construct the fully discrete approximations ofU y as well asU to a single-phase quasilinear Stefan problem with a forcing term in non-divergence form. We prove the optimal convergence of approximation to the solution {U,S } and the superconvergence of approximation toU y .

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Authors and Affiliations

  1. Department of Mathematics, Kyungsung University, 608-736, Korea

    H. Y. Lee

  2. Division of Information Systems Engineering, Dongseo University, 617-716, Korea

    M. R. Ohm

  3. Division of Mathematical Sciences, Pukyong National University, 608-737, Korea

    J. Y. Shin

Authors
  1. H. Y. Lee
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  2. M. R. Ohm
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  3. J. Y. Shin
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Correspondence to H. Y. Lee.

Additional information

This work was supported by Kyungsung University Foundation Grants in 2006

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Lee, H.Y., Ohm, M.R. & Shin, J.Y. Fully discrete mixed finite element method for a quasilinear stefan problem with a forcing term in non-divergence form. J. Appl. Math. Comput. 24, 191–207 (2007). https://doi.org/10.1007/BF02832310

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  • DOI: https://doi.org/10.1007/BF02832310

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