Transformation of dependent variable in the finite element solution of some phase change problems

Abstract

SUMMARYThe approach of Cermak and Zlamal' for solving quasilinear parabolic equations is modified and improved. The modified approach leads to a normal system of ODE, which may be solved with a standard program. The numerical solution of a specially selected example is compared with the exact solution. The method is applied on a system of quasilinear parabolic equations, which describes a real processcrystallization of a metal ingot.