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Unlike non-intrusive approaches which rely on individual realizations to determine the stochastic model response to random inputs, Galerkin methods are based on a weighted residual formalism to form systems of governing equations for the solution’s PC coefficients. This chapter is devoted to the formulation of Galerkin methods of UQ using PC expansions.
KeywordsGalerkin Method Spectral Problem Triple Product Expansion Order Stochastic Problem
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