Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ERROR ESTIMATES FOR A SINGLE PHASE QUASILINEAR STEFAN PROBLEM WITH A FORCING TERM

  • Ohm, Mi-Ray (Division of Information Systems Engineering, Dongseo University) ;
  • Shin, Jun-Yong (Division of Mathematics, Sciences Pukyong National University) ;
  • Lee, Hyun-Young (Department of Mathematics, Kyungsung University)
  • Published : 2003.01.01

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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 $L_2$, $L_{\infty}$, $H_1$ and $H_2$ norms for semidiscrete Galerkin approximations we derived.

Keywords

References

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