TY - GEN
T1 - Schwarz preconditioner for the stochastic finite element method
AU - Subber, Waad
AU - Loisel, Sébastien
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84961214698&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-18827-0_40
DO - 10.1007/978-3-319-18827-0_40
M3 - Conference contribution
AN - SCOPUS:84961214698
SN - 9783319188263
T3 - Lecture Notes in Computational Science and Engineering
SP - 397
EP - 405
BT - Domain Decomposition Methods in Science and Engineering XXII
PB - Springer
T2 - 22nd International Conference on Domain Decomposition Methods 2013
Y2 - 16 September 2013 through 20 September 2013
ER -