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Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations.
- Source :
-
Numerical Algorithms . Jan2017, Vol. 74 Issue 1, p153-173. 21p. - Publication Year :
- 2017
-
Abstract
- We consider the preconditioned Krylov subspace method for linear systems arising from the finite volume discretization method of steady-state variable-coefficient conservative space-fractional diffusion equations. We propose to use a scaled-circulant preconditioner to deal with such Toeplitz-like discretization matrices. We show that the difference between the scaled-circulant preconditioner and the coefficient matrix is equal to the sum of a small-norm matrix and a low-rank matrix. Numerical tests are conducted to show the effectiveness of the proposed method for one- and two-dimensional steady-state space-fractional diffusion equations and demonstrate that the preconditioned Krylov subspace method converges very quickly. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 74
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 120505342
- Full Text :
- https://doi.org/10.1007/s11075-016-0143-6