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- Publisher Website: 10.1007/s11075-016-0143-6
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Article: Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations
Title | Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations |
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Authors | |
Keywords | Preconditioning Space-fractional diffusion equations Iterative methods Finite volume methods |
Issue Date | 2017 |
Citation | Numerical Algorithms, 2017, v. 74, n. 1, p. 153-173 How to Cite? |
Abstract | © 2016, Springer Science+Business Media New York. 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. |
Persistent Identifier | http://hdl.handle.net/10722/277091 |
ISSN | 2023 Impact Factor: 1.7 2023 SCImago Journal Rankings: 0.829 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Pan, Jianyu | - |
dc.contributor.author | Ng, Michael | - |
dc.contributor.author | Wang, Hong | - |
dc.date.accessioned | 2019-09-18T08:35:34Z | - |
dc.date.available | 2019-09-18T08:35:34Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Numerical Algorithms, 2017, v. 74, n. 1, p. 153-173 | - |
dc.identifier.issn | 1017-1398 | - |
dc.identifier.uri | http://hdl.handle.net/10722/277091 | - |
dc.description.abstract | © 2016, Springer Science+Business Media New York. 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. | - |
dc.language | eng | - |
dc.relation.ispartof | Numerical Algorithms | - |
dc.subject | Preconditioning | - |
dc.subject | Space-fractional diffusion equations | - |
dc.subject | Iterative methods | - |
dc.subject | Finite volume methods | - |
dc.title | Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s11075-016-0143-6 | - |
dc.identifier.scopus | eid_2-s2.0-84969872771 | - |
dc.identifier.volume | 74 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 153 | - |
dc.identifier.epage | 173 | - |
dc.identifier.eissn | 1572-9265 | - |
dc.identifier.isi | WOS:000391392300009 | - |
dc.identifier.issnl | 1017-1398 | - |