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Transformation of dependent variable in the finite element solution of some phase change problems
Author(s) -
Borshukova Stefka,
Konovski Petar
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620201005
Subject(s) - ode , finite element method , transformation (genetics) , mathematics , ingot , mathematical analysis , variable (mathematics) , parabolic partial differential equation , phase (matter) , partial differential equation , materials science , physics , thermodynamics , biochemistry , chemistry , alloy , quantum mechanics , composite material , gene
The approach of Cermak and Zlamal 1 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 process—crystallization of a metal ingot.