Skip to Main content Skip to Navigation
Journal articles

Development of error criteria for adaptive multi-element polynomial chaos approaches

B Chouvion 1 Emmanuelle Sarrouy 2, *
* Corresponding author
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : This paper presents and compares different methodologies to create an adaptive stochastic space partitioning in polynomial chaos applications which use a multi-element approach. To implement adaptive partitioning, Wan and Karniadakis first developed a criterion based on the relative error in local variance. We propose here two different error criteria: one based on the residual error and the other on the local variance discontinuity created by partitioning. The methods are applied to classical differential equations with long-term integration difficulties, including the Kraichnan–Orszag three-mode problem, and to simple linear and nonlinear mechanical systems whose stochastic dynamic responses are investigated. The efficiency and robustness of the approaches are investigated by comparison with Monte-Carlo simulations. For the different examples considered, they show significantly better convergence characteristics than the original error criterion used.
Complete list of metadatas

Cited literature [30 references]  Display  Hide  Download
Contributor : Emmanuelle Sarrouy <>
Submitted on : Thursday, August 13, 2015 - 8:41:28 AM
Last modification on : Thursday, January 23, 2020 - 6:22:15 PM
Document(s) archivé(s) le : Saturday, November 14, 2015 - 10:11:18 AM


Files produced by the author(s)

Ce fichier correspond à la version acceptée pour publication.



B Chouvion, Emmanuelle Sarrouy. Development of error criteria for adaptive multi-element polynomial chaos approaches. Mechanical Systems and Signal Processing, Elsevier, 2016, 66--67, pp.201--222. ⟨10.1016/j.ymssp.2015.05.007⟩. ⟨hal-01183750⟩



Record views


Files downloads