Schwarz preconditioner for the stochastic finite element method

Waad Subber*, Sébastien Loisel

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The intrusive polynomial chaos approach for uncertainty quantification in numerous engineering problems constitutes a computationally challenging task. Indeed, Galerkin projection in the spectral stochastic finite element method (SSFEM) leads to a large-scale linear system for the polynomial chaos coefficients of the solution process. The development of robust and efficient solution strategies for the resulting linear system therefore is of paramount importance for the applicability of the SSFEM to practical engineering problems. The solution algorithms should be parallel and scalable in order to exploit the available multiprocessor supercomputers. Therefore, we formulate a two-level Schwarz preconditioner for the polynomial chaos based uncertainty quantification of large-scale computational models.
Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXII
Number of pages9
ISBN (Electronic)9783319188270
ISBN (Print)9783319188263
Publication statusPublished - 2016
Event22nd International Conference on Domain Decomposition Methods 2013 - Lugano, Switzerland
Duration: 16 Sept 201320 Sept 2013

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358


Conference22nd International Conference on Domain Decomposition Methods 2013
Abbreviated titleDD 2013

ASJC Scopus subject areas

  • General Engineering
  • Computational Mathematics
  • Modelling and Simulation
  • Control and Optimization
  • Discrete Mathematics and Combinatorics


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