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Galerkin Methods

  • O. P. Le MaîtreEmail author
  • O. M. Knio
Chapter
  • 3.4k Downloads
Part of the Scientific Computation book series (SCIENTCOMP)

Abstract

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.

Keywords

Galerkin Method Spectral Problem Triple Product Expansion Order Stochastic Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.LIMSI-CNRSUniversité Paris-Sud XIOrsay cedexFrance
  2. 2.Department of Mechanical EngineeringThe Johns Hopkins UniversityBaltimoreUSA

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