Basis adaptation in homogeneous chaos spaces

Journal Article · Sat Feb 01 00:00:00 EST 2014 · Journal of Computational Physics, 259:304-317

DOI:https://doi.org/10.1016/j.jcp.2013.12.009· OSTI ID:1194318

Tipireddy, Ramakrishna; Ghanem, Roger

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.

• Research Organization: Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-76RL01830
• OSTI ID: 1194318
• Report Number(s): PNNL-SA-102374; KJ0401000
• Journal Information: Journal of Computational Physics, 259:304-317, Journal Name: Journal of Computational Physics, 259:304-317
• Country of Publication: United States
• Language: English