Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 136–151
Abstract
In this paper, we study a composite preconditioner that combines the modified tangential frequency filtering decomposition with the ILU(0) factorization. Spectral property of the composite preconditioner is examined by the approach of Fourier analysis. We illustrate that condition number of the preconditioned matrix by the composite preconditioner is asymptotically bounded by $\mathcal{O}$($h^{-\frac23}_p$) on a standard model problem. Performance of the composite preconditioner is compared with other preconditioners on several problems arising from the discretization of PDEs with discontinuous coefficients. Numerical results show that performance of the proposed composite preconditioner is superior to other relative preconditioners.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1401-m4145
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 136–151
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Preconditioner ILU Tangential frequency filtering decomposition GMRES.