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Article: Multigrid preconditioners for symmetric Sinc systems
Title | Multigrid preconditioners for symmetric Sinc systems |
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Authors | |
Issue Date | 2004 |
Citation | ANZIAM Journal, 2004, v. 45, p. C857-C869 How to Cite? |
Abstract | © Austral. Mathematical Soc. 2004. The symmetric Sinc-Galerkin method applied to a separable secondorder self-adjoint elliptic boundary value problem gives rise to a system of linear equations (Ψx ⊗ Dy + Dx ⊗ Ψy) u = g where ⊗ is the Kronecker product symbol, Ψx and Ψyare Toeplitz-plus-diagonal matrices, and Dx and Dy are diagonal matrices. The main contribution of this paper is to present a two-step preconditioning strategy based on the banded matrix approximation and the multigrid iteration for these Sinc-Galerkin systems. Numerical examples show that the multigrid preconditioner is practical and efficient to precondition the conjugate gradient method for solving the above symmetric Sinc-Galerkin linear system. |
Persistent Identifier | http://hdl.handle.net/10722/276491 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.183 |
DC Field | Value | Language |
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dc.contributor.author | Ng, Michael K. | - |
dc.contributor.author | Serra-Capizzano, Stefano | - |
dc.contributor.author | Tablino-Possio, Cristina | - |
dc.date.accessioned | 2019-09-18T08:33:46Z | - |
dc.date.available | 2019-09-18T08:33:46Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | ANZIAM Journal, 2004, v. 45, p. C857-C869 | - |
dc.identifier.issn | 1446-1811 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276491 | - |
dc.description.abstract | © Austral. Mathematical Soc. 2004. The symmetric Sinc-Galerkin method applied to a separable secondorder self-adjoint elliptic boundary value problem gives rise to a system of linear equations (Ψx ⊗ Dy + Dx ⊗ Ψy) u = g where ⊗ is the Kronecker product symbol, Ψx and Ψyare Toeplitz-plus-diagonal matrices, and Dx and Dy are diagonal matrices. The main contribution of this paper is to present a two-step preconditioning strategy based on the banded matrix approximation and the multigrid iteration for these Sinc-Galerkin systems. Numerical examples show that the multigrid preconditioner is practical and efficient to precondition the conjugate gradient method for solving the above symmetric Sinc-Galerkin linear system. | - |
dc.language | eng | - |
dc.relation.ispartof | ANZIAM Journal | - |
dc.title | Multigrid preconditioners for symmetric Sinc systems | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.21914/anziamj.v45i0.928 | - |
dc.identifier.scopus | eid_2-s2.0-84924081349 | - |
dc.identifier.volume | 45 | - |
dc.identifier.spage | C857 | - |
dc.identifier.epage | C869 | - |
dc.identifier.eissn | 1446-8735 | - |
dc.identifier.issnl | 1446-1811 | - |