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Title: Basis adaptation and domain decomposition for steady partial differential equations with random coefficients

Journal Article · · Journal of Computational Physics
 [1];  [1];  [1]
  1. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC05-76RL01830
OSTI ID:
1379948
Alternate ID(s):
OSTI ID: 1395272; OSTI ID: 1549945
Report Number(s):
PNNL-SA-115134; PII: S0021999117306484
Journal Information:
Journal of Computational Physics, Vol. 351; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

References (21)

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Exact PDF equations and closure approximations for advective-reactive transport journal June 2013
Basis adaptation in homogeneous chaos spaces journal February 2014
A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties journal November 2009
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids journal September 2010
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A concurrent model reduction approach on spatial and random domains for the solution of stochastic PDEs journal January 2006
Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs journal January 2015
Stochastic model reduction for chaos representations journal August 2007
The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables journal December 1999
The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals journal April 1947
Hilbert-space Karhunen–Loève transform with application to image analysis journal January 1999
Minimal dynamical systems from PDEs using Sobolev eigenfunctions journal August 1992
Smoothed functional principal components analysis by choice of norm journal February 1996
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows journal January 1993
Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows journal January 1999
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data journal January 2008

Cited By (1)

Stochastic basis adaptation and spatial domain decomposition for PDEs with random coefficients preprint January 2017