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

• Autorzy: Szepietowska K. , Magnain B. , Lubowiecka I. , Florentin E.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

regression-based polynomial chaos; uncertainty quantification; finite element simulations; D-optimal design; surgical mesh; ventral hernia repair

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2017
• Tom: Vol. 41, No. 2
• Strony: 5--16
• Opis fizyczny: Bibliogr. 20 poz., rys., schem., wykr.

Twórcy

autor

Szepietowska K.

• Gdansk University of Technology, Faculty of Civil and Environmental Engineering

autor

Magnain B.

• LAME - INSA Centre Val de Loire / Univ. Tours / Univ. Orléans

autor

Lubowiecka I.

• Gdansk University of Technology, Faculty of Civil and Environmental Engineering

autor

Florentin E.

• LAME - INSA Centre Val de Loire / Univ. Tours / Univ. Orléans

Bibliografia

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