Multifidelity Reliability Estimation. Issue 1 (18th November 2019)

• Record Type: Journal Article
• Authors: Proppe, Carsten
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-11-18
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900466
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: Multi‐fidelity estimation combines the output of simulation models of different approximation quality and from different sources in order to obtain efficient estimators for a quantity of interest. It relies on a model hierarchy that is established either by means of an approximation parameter or the Pearson correlation of the model outputs. Here, alternative measures based on the copula or on information theory are introduced in order to order models. To combine the results from the model hierarchy, information fusion methods based on differences of the quantity of interest and on conditional probabilities are introduced. They are combined with the moving particles method in order to yield efficient estimators for the probability of failure.