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ArticleKarhunen–Loève approximation of random fields by generalized fast multipole methods

Christoph Schwab2006

Article2006

Karhunen–Loève approximation of random fields by generalized fast multipole methods

Christoph Schwab · Radu Alexandru Todor

355 citations·0/0 files stored·Journal of Computational Physics

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Model Reduction and Neural Networks

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References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2004Finite elements for elliptic problems with stochastic coefficients 2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

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2014Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion 2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs 2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients 2014Practical Application of the Stochastic Finite Element Method 2007Simulation of simply cross correlated random fields by series expansion methods 2008Sparse high order FEM for elliptic sPDEs 2019Simulation of non-stationary non-Gaussian random fields from sparse measurements using Bayesian compressive sampling and Karhunen-Loève expansion 2009Sparse Tensor Discretization of Elliptic sPDEs

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Year2006

Typearticle

Published2006-05-07

VenueJournal of Computational Physics

ISSN-L0021-9991

Languageen

Citations355

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.jcp.2006.01.048

openalex_workW2062993069

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