Complexity of an identification problem of sharp local density loss in fractional body
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
2020
chapter in monograph / paper
english
- optimization
- complexity
- non-locality
- space-fractional continuum mechanics
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.
17.04.2019
282 - 293
20