We present a new meth for the characterization of subspaces associated with low-dimensional quantities of interet (QoI). The probability density function of these QoI is found to be concentrated around one-dimensional subspaces for which we develop projection operators. Our approach builds on the properties of Gaussian Hilbert spaces and associated tensor product spaces.
Revised: July 9, 2015 |
Published: February 15, 2014
Citation
Tipireddy R., and R. Ghanem. 2014.Basis adaptation in homogeneous chaos spaces.Journal of Computational Physics 259.PNNL-SA-102374.doi:10.1016/j.jcp.2013.12.009