A simplex-simplex approach for mixed aleatory-epistemic uncertainty quantification

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Abstract

The Simplex Stochastic Collocation (SSC) method has been recently proposed in order to handle aleatory uncertainty quantification (UQ), i.e. irreducible variabilities inherent in nature. In this work, we present an extension of this method for treating epistemic uncertainty in the context of interval analysis approach. This numerical method is based on a Simplex space representation, high-order polynomial interpolation and adaptive refinements, permitting to treat mixed aleatory-epistemic uncertainties. This method displays good properties in terms of accuracy and computational cost. Several numerical examples are presented to demonstrate the properties of the proposed method.

Original languageEnglish
Title of host publication53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781600869372
DOIs
Publication statusPublished - 1 Jan 2012
Event53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 - Honolulu, HI, United States
Duration: 23 Apr 201226 Apr 2012

Publication series

Name53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012

Conference

Conference53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
Country/TerritoryUnited States
CityHonolulu, HI
Period23/04/1226/04/12

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