Error Analysis of the Enthalpy Method for the Stefan Problem

1 January 1987

journal article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 7 (1) , 61-71
https://doi.org/10.1093/imanum/7.1.61

Abstract

In this paper an error bound is derived for a practical piecewise linear finite-element approximation of an enthalpy formulation of the multidimensional Stefan problem with an implicit time discretization. It is shown that if the time step Δt is O(h), then the error in the temperature measured in the L² norm is O(h½).

Keywords

ERROR BOUND
FINITE ELEMENT
TIME DISCRETIZATION
TEMPERATURE MEASURED
APPROXIMATION
NORM
PRACTICAL PIECEWISE
IMPLICIT TIME
STEP

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