Error estimates for a single phase quasilinear Stefan problem with a forcing term

  • Authors:

  • Mi Ray Ohm;Jun Yong Shin;Hyun Young Lee

  • Affiliations:

  • Division of Information Systems Engineering, Dongseo University, 617-716, Korea;Division of Mathematical Sciences, Pukyong National University, 608-737, Korea;Department of Mathematics, Kyungsung University, 608-736, Korea

  • Venue:
  • The Korean Journal of Computational & Applied Mathematics
  • Year:
  • 2003

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Abstract

In this paper, we apply finite element Galerkin method to a single-phase quasi-linear Stefan problem with a forcing term. We consider the existence and uniqueness of a semidiscrete approximation and optimal error estimates in L2, L∞, H1 and H2 norms for semidiscrete Galerkin approximations are derived.