Efficient solution of stochastic systems: Application to the embankment dam problem

By Roger G. Ghanem, G. Saad, Alireza Doostan. 2007

56 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1c1c89d1a5efadeb79f1d5e69cbc90fc0c77d693

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In Civil and Structural Engineering

In Environmental Engineering

In Statistics and Probability

Citations in the corpus

Generalized spectral decomposition method for solving stochastic finite element equations : Invariant subspace problem and dedicated algorithms (2008, background): “Some of these works rely on the construction of reduced deterministic bases or stochastic bases (sets of random variables) in order to decrease the size of the problem [3,10,11].”
Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009, background): “One way to define optimal basis, explored in different works [38, 47, 83], is based on the following property: the optimal decomposition of type (68) in the sense of a natural norm ‖ · ‖ in V ⊗ S is a classical spectral decomposition of the solution.”
A least-squares approximation of partial differential equations with high-dimensional random inputs (2009, unknown): “Model reduction techniques have been developed in [7,10,22,21] to reduce this drawback for the case of stochastic Galerkin schemes.”
Evaluating the response statistics of an uncertain bridge–vehicle system (2012, methodology): “The stochastic model reduction technique [26], which has been successfully applied to the embankment dam problem can be adopted.”
An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2010, background): “On the other hand, various authors detailed generalized decomposition schemes of the random response of standard elliptic models [16, 17].”
Uncertainty analysis of complex structural systems (2009, methodology): “A computational saving of the factor more than three is reported in [18].”