Speeding Up SSFEM Computation Using Kronecker Tensor Products. Gaignaire, R., Guyomarc'h, F., Moreau, O., Clénet, S., & Sudret, B. IEEE Transactions on Magnetics, 45(3):1432–1435, IEEE, March, 2009. doi abstract bibtex The spectral stochastic finite-element method makes it possible to convey some random aspects of input data to the output data. However, the system size dramatically increases with the number of input random variables. Using matrix Kronecker tensor products for system solving noticeably reduces the computation time and the storage requirements.
@Article{ Gaignaire_2009aa,
abstract = {The spectral stochastic finite-element method makes it possible to convey some random aspects of input data to the output data. However, the system size dramatically increases with the number of input random variables. Using matrix Kronecker tensor products for system solving noticeably reduces the computation time and the storage requirements.},
author = {Gaignaire, Roman and Guyomarc'h, Frédéric and Moreau, Olivier and Clénet, Stéphane and Sudret, Bruno},
doi = {10.1109/TMAG.2009.2012662},
file = {Gaignaire_2009aa.pdf},
issn = {0018-9464},
journal = {IEEE Transactions on Magnetics},
keywords = {gPC,UQ,numerics,solver},
langid = {english},
month = mar,
number = {3},
pages = {1432--1435},
publisher = {IEEE},
title = {Speeding Up {SSFEM} Computation Using Kronecker Tensor Products},
volume = {45},
year = {2009},
shortjournal = {IEEE Trans. Magn.}
}
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