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Complexity of an Identification Problem of Sharp Local Density Loss in Fractional Body

  • Krzysztof SzajekEmail author
  • Wojciech Sumelka
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)

Abstract

In this paper the complexity of identification of sharp local density loss in the framework of the space-fractional continuum mechanics (s-FCM) is presented. The linear dynamic solution in the form of eigenproblem is chosen as a main factor in the objective function - both eigenvalues and eigenmodes are considered. It is shown that the solution space is extremely complicated and densely covered with local minima. The obtained results aim in the classification of the problem hardness versus s-FCM fundamental parameters, namely fractional body order and length scale.

Keywords

Optimization Complexity Non-locality Space-fractional continuum mechanics 

Notes

Acknowledgments

This work is supported by the National Science Centre, Poland, under Grant No. 2017/27/B/ST8/00351.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Poznan University of TechnologyPoznanPoland

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