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A Posteriori Error Estimation for Stochastic Static Problems.

Authors :
Mac, D. H.
Clenet, S.
Source :
IEEE Transactions on Magnetics. Feb2014, Vol. 50 Issue 2, p545-548. 4p.
Publication Year :
2014

Abstract

To solve stochastic static field problems, a discretization by the finite-element method can be used. A system of equations is obtained with the unknowns (scalar potential at nodes, for example) being random variables. To solve this stochastic system, the random variables can be approximated in a finite-dimension functional spaceā€”a truncated polynomial chaos expansion. The error between the exact solution and the approximated one depends not only on the spatial mesh, but also on the discretization along the stochastic dimension. In this paper, we propose an a posteriori estimation of the error due to the discretization along the stochastic dimension. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189464
Volume :
50
Issue :
2
Database :
Academic Search Index
Journal :
IEEE Transactions on Magnetics
Publication Type :
Academic Journal
Accession number :
94864041
Full Text :
https://doi.org/10.1109/TMAG.2013.2281103