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An H 1 -Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form

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  • A. K. Pani
  • P. C. Das

Abstract

Optimal error estimates in L 2 , H 1 and H 2 -norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H 1 -Galerkin procedure.

Suggested Citation

  • A. K. Pani & P. C. Das, 1987. "An H 1 -Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:797621
    DOI: 10.1155/S0161171287000413
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    Cited by:

    1. Khebchareon, Morrakot & Pany, Ambit Kumar & Pani, Amiya K., 2022. "An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems," Applied Mathematics and Computation, Elsevier, vol. 424(C).

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