Some advances on anchored anova expansion for high order moments computation

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Abstract

Covariance decomposition of output variance is used in this paper to take account of interactions between non-orthogonal components in anchored ANOVA method. Results show this approach is less sensitive to the anchor reference point than existing method. Covariance-based sensitivity indices (SI) are also used, compared to variance-based SI. Furthermore, we emphasize covariance decomposition can be generalized in a straightforward way to decompose high order moments.

Original languageEnglish
Title of host publication11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
EditorsEugenio Onate, Xavier Oliver, Antonio Huerta
PublisherInternational Center for Numerical Methods in Engineering
Pages6480-6491
Number of pages12
ISBN (Electronic)9788494284472
Publication statusPublished - 1 Jul 2014
EventJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 - Barcelona, Spain
Duration: 20 Jul 201425 Jul 2014

Publication series

Name11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Conference

ConferenceJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014
Country/TerritorySpain
CityBarcelona
Period20/07/1425/07/14

Keywords

  • (anchored) ANOVA
  • Global sensitivity analysis
  • Stochastic problems
  • Uncertainty quantification
  • Variance/covariance decomposition

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