TY - JOUR
T1 - Approximation of a Two-phase Continuous Casting Stefan Problem
AU - Zhiming Chen  & Lishang Jiang 
JO - Journal of Partial Differential Equations
VL - 1
SP - 59
EP - 72
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5555.html
KW - Piecewise linear finite elements
KW - numerical quadrature
KW - error estimates
KW - Stefan problem with convection
AB -  The continuous casting Stefan problem is a mathematical model describing the solidification with convection of a material being cast continuously with a prescribed velocity. We propose a practical piecewise linear finite element scheme motivated by the characteristic finite element method and derive an error estimate for the scheme which is of the same convergence order as that proved for Stefan problem without convection.