A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments ar...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/402490 |
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| author | Ning-Bo Tan Ting-Zhu Huang Ze-Jun Hu |
| author_facet | Ning-Bo Tan Ting-Zhu Huang Ze-Jun Hu |
| author_sort | Ning-Bo Tan |
| collection | DOAJ |
| description | A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems. |
| format | Article |
| id | doaj-art-5db5d4eae11f449d8fa6e94e36bb46b7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5db5d4eae11f449d8fa6e94e36bb46b72025-08-20T03:34:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/402490402490A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes EquationsNing-Bo Tan0Ting-Zhu Huang1Ze-Jun Hu2School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, ChinaA relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems.http://dx.doi.org/10.1155/2012/402490 |
| spellingShingle | Ning-Bo Tan Ting-Zhu Huang Ze-Jun Hu A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations Journal of Applied Mathematics |
| title | A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations |
| title_full | A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations |
| title_fullStr | A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations |
| title_full_unstemmed | A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations |
| title_short | A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations |
| title_sort | relaxed splitting preconditioner for the incompressible navier stokes equations |
| url | http://dx.doi.org/10.1155/2012/402490 |
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