Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

FULLY DISCRETE MIXED FINITE ELEMENT METHOD FOR A QUASILINEAR STEFAN PROBLEM WITH A FORCING TERM IN NON-DIVERGENCE FORM

  • Lee, H.Y. (Department of Mathematics, Kyungsung University) ;
  • Ohm, M.R. (Division of Information Systems Engineering, Dongseo University) ;
  • Shin, J.Y. (Division of Mathematical Science, Pukyong National University)
  • Published : 2007.05.31

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Abstract

Based on a mixed Galerkin approximation, we construct the fully discrete approximations of $U_y$ as well as U 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 to $U_y$.

Keywords