Skip to Main content Skip to Navigation

Modified Tangential Frequency Filtering Decomposition and its Fourier Analysis

Qiang Niu 1 Laura Grigori 2 Pawan Kumar 2 Frédéric Nataf 3 
2 GRAND-LARGE - Global parallel and distributed computing
LRI - Laboratoire de Recherche en Informatique, LIFL - Laboratoire d'Informatique Fondamentale de Lille, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR8623
Abstract : In this paper, a modified tangential frequency filtering decomposition (MTFFD) preconditioner is proposed. The optimal order of the modification and the optimal relaxation parameter are determined by Fourier analysis. With this choice of the optimal order of modification, the Fourier results show that the condition number of the preconditioned matrix is ${\cal O}(h^{-\frac{2}{3}})$, and the spectrum distribution of the preconditioned matrix can be predicted by the Fourier results. The performance of MTFFD is compared with tangential frequency filtering (TFFD) preconditioner on a variety of large sparse matrices arising from the discretization of PDEs with discontinuous coefficients. The numerical results show that the MTFFD preconditioner is much more efficient than the TFFD preconditioner.
Document type :
Complete list of metadata
Contributor : Laura Grigori Connect in order to contact the contributor
Submitted on : Wednesday, September 24, 2008 - 6:03:53 PM
Last modification on : Sunday, June 26, 2022 - 11:48:44 AM
Long-term archiving on: : Thursday, June 3, 2010 - 9:59:38 PM


Files produced by the author(s)


  • HAL Id : inria-00324378, version 1


Qiang Niu, Laura Grigori, Pawan Kumar, Frédéric Nataf. Modified Tangential Frequency Filtering Decomposition and its Fourier Analysis. [Research Report] RR-6662, INRIA. 2008. ⟨inria-00324378⟩



Record views


Files downloads