Fully discrete approximation for a quasilinear Stefan problem with forcing term

  • Authors:

  • H. Y. Lee;M. R. Ohm;J. Y. Shin

  • Affiliations:

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

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2002

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Abstract

In this paper, we apply finite element Galerkin method to a single-phase quasilinear Stefan problem with forcing term. We adopt the backward Euler method to construct the fully discrete approximation. Optimal error estimates for fully discrete approximation are derived.