Title :
Speeding Up SSFEM Computation Using Kronecker Tensor Products
Author :
Gaignaire, R. ; Guyomarc, F. ; Moreau, O. ; Clénet, S. ; Sudret, B.
Author_Institution :
Montefiore Institure, ACE, Liege
fDate :
3/1/2009 12:00:00 AM
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.
Keywords :
Hermitian matrices; computational electromagnetics; conjugate gradient methods; finite element analysis; random media; stochastic processes; tensors; Hermite polynomial chaos; conjugate gradient algorithm; electrokinetics; electromagnetism modeling; finite-element method; linear system resolution; matrix Kronecker tensor products; random media; spectral stochastic finite-element method; Electrokinetics; finite-element method; hermite polynomial chaos; linear system resolution; random media;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2009.2012662
