Memoirs of the Faculty of Engineering, Okayama University
Published by Faculty of Enginerring, Okayama University

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Memoirs of the School of Engineering, Okayama University

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A Consideration on Convergence Condition of Explicit Finite Element Analysis for Heat Transfer Equation

Taniguchi Takeo
Mitsuoka Kazuhiko
Terada Takashi
This paper treats the convergence condition of the explicit finite element method (i.e. the time and spatial axes are discretized by using the explicit finite difference method and the weighted residual method, respectively) which is applied for analyzing the heat problem in region with complex boundary configuration and also with several material properties. The main role of this study is the application of the Brauer's theorem. As the results we obtain that the usage of the Brauer's theorem is valid and that the application method of the theorem is presented in this paper.