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JACST Journal of Advanced Computer Science & Technology E-ISSN 2227-4332

Effective Minimization of Nonsmooth Functions in the Limit Analysis Problem for Dielectrics in Powerful Electric Fields

Authors and Affiliations

  • Igor Albertovich Brigadnov Department of Computer Science, National Mineral Resources University "Gorniy" (Mining University), Russian Federation
  • Ekaterina M. Fedotova

About this article

DOI
https://doi.org/10.14419/jacst.v1i4.519
Received
19-10-2012
Accepted
20-10-2012
Published
08-11-2012
Views
855
Downloads
395
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Abstract

The problem of minimization of ill-conditioned functions is considered. This problem arises as a result of finite-element approximation of the limit analysis problem for dielectrics in powerful electric fields. The objective function is nonsmooth therefore a smooth regularization of finite-dimensional problem is used. As a result distinct ravine of objective function is acquired. Convergence of the gradient and the heave-ball methods in relation to its internal and optimization parameters are studied inside the numerical computing environment and fourth-generation programming language Matlab.

References

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View more references (8)

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[10] Ch. A. Floudas and P. M. Pardalos, Encyclopedia of Optimization, Vol. II, Springer, Berlin, 2001.

[11] E.M. Fedotova and I.A. Brigadnov, Effective minimization of ill-conditioned functions, Comp. Sci. Eng. 2(3) (2012) 13-17.

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How to Cite

Brigadnov, I. A., & Fedotova, E. M. (2012). Effective Minimization of Nonsmooth Functions in the Limit Analysis Problem for Dielectrics in Powerful Electric Fields. Journal of Advanced Computer Science & Technology, 1(4), 325-336. https://doi.org/10.14419/jacst.v1i4.519

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