The finite element method in solving the problems of heat conduction
https://doi.org/10.20914/2310-1202-2013-2-10-15
Abstract
This work offers to supplement polynomial elements used by the step function of Heaviside and rounding functions which allows to simplify and formalizes the record of test piecewise continuous function applying it for continual problems solution by the method of Galerkin.
About the Authors
S. A. Podgornyi
Кубанский гос. технол. ун-т
Russian Federation
доцент, кафедра автоматизации производственных процессов
Russian Federation
доцент, кафедра автоматизации производственных процессов
Z. A. Meretukov
Кубанский гос. технол. ун-т
Russian Federation
докторант, кафедра автоматизации производственных процессов
Russian Federation
докторант, кафедра автоматизации производственных процессов
E. P. Koshevoi
Кубанский гос. технол. ун-т
Russian Federation
профессор, кафедра автоматизации производственных процессов
Russian Federation
профессор, кафедра автоматизации производственных процессов
V. S. Kosachev
Кубанский гос. технол. ун-т
Russian Federation
профессор, кафедра автоматизации производственных процессов
Russian Federation
профессор, кафедра автоматизации производственных процессов
References
1. 1 Lykov, A. V. Theory of Heat Conduction [Text] / A. V. Lykov. - M.: Vysshaya shkola, 1969.
2. 2 Kosachev, V. S. Using rounding function in the problems of finite-element analysis [Text] / V. S. Kosachev, E. P. Koshevoy, S. A. Podgorny // Studies in mathematical science. 2012. – V. 4. -№ 2.
3. 3 Akin, J. E. Finite element analysis with error estimators [Text] / J. E. Akin. - Butterworth-Heinemann, 2005. – 512 p.
4. 4 Chen, Z. X. Finite element methods and their applications [Text] / Z. X. Chen. – Springer, 2005. – 424 p.
5. 5 Solin, P. Partial differential equations and the finite element method [Text] / P. Solin. – Wiley-Interscience, 2006. – 504 p.
6. 6 Thomee, V. Galerkin finite element methods for parabolic problems [Text] / V. Thomee. – Springer, 2006. – 459 p.
Review
For citations:
Podgornyi S.A., Meretukov Z.A., Koshevoi E.P., Kosachev V.S. The finite element method in solving the problems of heat conduction. Proceedings of the Voronezh State University of Engineering Technologies. 2013;(2):10-15. (In Russ.) https://doi.org/10.20914/2310-1202-2013-2-10-15
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