Adaptive generalized polynomial chaos for nonlinear random oscillators (2004)

Content Provider	CiteSeerX
Author	Lucor, D. Karniadakis, G. E.
Abstract	Abstract. The solution of nonlinear random oscillators subject to stochastic forcing is investigated numerically. In particular, solutions to the random Duffing oscillator with random Gaussian and non-Gaussian excitations are obtained by means of the generalized polynomial chaos (GPC). Adaptive procedures are proposed to lower the increased computational cost of the GPC approach in large-dimensional spaces. Adaptive schemes combined with the use of an enriched representation of the system improve the accuracy of the GPC approach by reordering the random modes according to their magnification by the system.
File Format	PDF
Volume Number	26
Journal	SIAM J. Sci. Comput
Language	English
Publisher Date	2004-01-01
Access Restriction	Open
Subject Keyword	Nonlinear Random Oscillator Polynomial Chaos Gpc Approach Large-dimensional Space Non-gaussian Excitation Enriched Representation Generalized Polynomial Chaos Random Duffing Oscillator Adaptive Procedure Adaptive Scheme Increased Computational Cost Stochastic Forcing
Content Type	Text
Resource Type	Article