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Numerical solution of heat conduction problems by parabolic time‐space element
Author(s) -
Tham L. G.,
Cheung Y. K.
Publication year - 1982
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.1620180311
Subject(s) - thermal conduction , stability (learning theory) , scheme (mathematics) , space (punctuation) , spacetime , mathematics , element (criminal law) , finite element method , heat equation , mathematical analysis , physics , computer science , thermodynamics , quantum mechanics , machine learning , political science , law , operating system
In this paper, heat conduction problems are solved by a quasi‐variational approach. A parabolic time–space element based on the above formulation is developed, and the stability of the above scheme is established. The results indicate that the scheme is suitable for various auxiliary conditions and that it is unconditionally stable.