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1 Machine Dynamics Research

1 2017

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Regression Points in Non-Intrusive Polynomial Chaos Expansion Method and D-Optimal Design

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Szepietowska K. , Magnain B. , Lubowiecka I. , Florentin E.

Machine Dynamics Research

2017

tom Vol. 41, No. 2

5--16

The paper addresses selected issues of uncertainty quantification in the modelling of a system containing surgical mesh used in ventral hernia repair. Uncertainties in the models occur due to variability of abdominal wall properties among others. In order to include them, a nonintrusive regression-based polynomial chaos expansion method is employed. Its accuracy depends on the choice of regression points. In the study, a relation between error of mean, standard deviation, 95th percentile and location of regression points is investigated in the models of implants with a single random variable. This approach is compared with a classic choice of points based on the D-optimality criterion.