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EVALUATION OF THE ACCURACY OF APPROXIMATIONS OBTAINED BY FINITE ELEMENT METHOD

https://doi.org/10.20914/2310-1202-2013-4-31-34

Abstract

The paper assesses the accuracy of the approximations obtained by finite element method, and it is shown that in the case of an infinite number of finite elements can be absolute accuracy. The obtained dependence allows determining the required number of finite elements for a specified accuracy.

About the Author

S. A. Podgornyi
Kuban State Technological University
Russian Federation


References

1. Podgorny, S.A. The finite element method in solving problems of heat conduction [Text] / S.A. Podgorny, Z.A. Meretukov, E.P. Koshevoy, V.S. Kosachev // Bulletin of VSUET. - 2013. № 2. P. 10-15.

2. Kosachev, V.S. Using rounding function in problems of finite-element analysis [Text] / V.S. Kosachev, E.P. Koshevoy, S.A. Podgorny // Studies in mathematical science. 2012. V. 4. - №2. P. 17-24.

3. Gandhi, D. Mixer spur analysis with concurrently swept LO, RF and IF [Text] / D. Gandhi, C. Lyons // Tools and techniques. – 2003. V. 46. - № 5. P. 212.

4. Thomee, V. Galerkin finite element methods for parabolic problems [Text] / V. Thomee // Springer series in computational mathematics. 2006. – P. 370.


Review

For citations:


Podgornyi S.A. EVALUATION OF THE ACCURACY OF APPROXIMATIONS OBTAINED BY FINITE ELEMENT METHOD. Proceedings of the Voronezh State University of Engineering Technologies. 2013;(4):31-34. (In Russ.) https://doi.org/10.20914/2310-1202-2013-4-31-34

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ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)