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Gdańsk University of Technology

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Regression points in non-intrusive polynomial chaos expansion method and D-optimal design

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 e.g. due to variability of abdominal wall properties among others. In order to include them, a non-intrusive 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 on 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.

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Additional information

Category
Publikacja w czasopiśmie
Type
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Language
angielski
Publication year
2017

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