Complexity of an identification problem of sharp local density loss in fractional body

Krzysztof Szajek; Wojciech Sumelka

doi:10.1007/978-3-030-17344-9_21

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Title

Complexity of an identification problem of sharp local density loss in fractional body

Authors

Krzysztof Szajek (WILiT) ^{[ 1 ][ 2.7 ][ P ]}
Wojciech Sumelka (WILiT) ^{[ 1 ][ 2.7 ][ P ]}

^{[ 1 ]} Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering and transport

Year of publication

2020

Chapter type

chapter in monograph / paper

Publication language

english

Keywords

EN

optimization
complexity
non-locality
space-fractional continuum mechanics

Abstract

EN 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.

Date of online publication

17.04.2019

Pages (from - to)

282 - 293

DOI

10.1007/978-3-030-17344-9_21

URL

https://link.springer.com/chapter/10.1007/978-3-030-17344-9_21

Book

Advances in Non-Integer Order Calculus and Its Applications : Proceedings of the 10th International Conference on Non-Integer Order Calculus and Its Applications

Presented on

10th International Conference on Non-Integer Order Calculus and Its Applications RRNR 2018, 20-21.09.2018, Bialystok, Poland