Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations
An incomplete augmented Lagrangian preconditioner, for the steady incompressible Navier-Stokes equations discretized by stable finite elements, is proposed. The eigenvalues of the preconditioned matrix are analyzed. Numerical experiments show that the incomplete augmented Lagrangian-based preconditi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/486323 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850160509942235136 |
|---|---|
| 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 | An incomplete augmented Lagrangian preconditioner, for the steady incompressible Navier-Stokes equations discretized by stable finite elements, is proposed. The eigenvalues of the preconditioned matrix are analyzed. Numerical experiments show that the incomplete augmented Lagrangian-based preconditioner proposed is very robust and performs quite well by the Picard linearization or the Newton linearization over a wide range of values of the viscosity on both uniform and stretched grids. |
| format | Article |
| id | doaj-art-ae86cd782a124d799e8e9ef3c6d6e275 |
| institution | OA Journals |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ae86cd782a124d799e8e9ef3c6d6e2752025-08-20T02:23:08ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/486323486323Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes EquationsNing-Bo Tan0Ting-Zhu Huang1Ze-Jun Hu2School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaAn incomplete augmented Lagrangian preconditioner, for the steady incompressible Navier-Stokes equations discretized by stable finite elements, is proposed. The eigenvalues of the preconditioned matrix are analyzed. Numerical experiments show that the incomplete augmented Lagrangian-based preconditioner proposed is very robust and performs quite well by the Picard linearization or the Newton linearization over a wide range of values of the viscosity on both uniform and stretched grids.http://dx.doi.org/10.1155/2013/486323 |
| spellingShingle | Ning-Bo Tan Ting-Zhu Huang Ze-Jun Hu Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations The Scientific World Journal |
| title | Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations |
| title_full | Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations |
| title_fullStr | Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations |
| title_full_unstemmed | Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations |
| title_short | Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations |
| title_sort | incomplete augmented lagrangian preconditioner for steady incompressible navier stokes equations |
| url | http://dx.doi.org/10.1155/2013/486323 |
| work_keys_str_mv | AT ningbotan incompleteaugmentedlagrangianpreconditionerforsteadyincompressiblenavierstokesequations AT tingzhuhuang incompleteaugmentedlagrangianpreconditionerforsteadyincompressiblenavierstokesequations AT zejunhu incompleteaugmentedlagrangianpreconditionerforsteadyincompressiblenavierstokesequations |