A multigrid solver for Stokes control problems
文献类型：期刊论文
| 作者 | Butt, Muhammad Munir1,2 |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 2017 |
| 卷号 | 94期号:12页码:2297-2314 |
| 关键词 | Stokes equations PDE-constrained optimization multigrid staggered grids control-constrained 35Q93 49K20 65N55 |
| ISSN号 | 0020-7160 |
| DOI | 10.1080/00207160.2017.1283022 |
| 英文摘要 | Multigrid solvers for distributed optimal control problems constrained by Stokes equations are presented. The distributed velocity tracking problem is considered with Dirichlet boundary conditions. The optimality system of the control problem that results from a Lagrange multiplier framework, forms a linear system connecting the state, adjoint, and control variables. We investigate multigrid methods on staggered grids. A coarsening by a factor of three is introduced that results in a nested hierarchy of staggered grids and simplified the intergrid transfer operators. On these grids a distributive Gauss-Seidel smoothing scheme is employed. Numerical experiments are performed to validate the effectiveness and efficiency of the proposed multigrid staggered grid framework. |
| 语种 | 英语 |
| WOS记录号 | WOS:000415666100003 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26825]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Butt, Muhammad Munir |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Univ Lahore, Dept Math, Lahore 54000, Pakistan |
| 推荐引用方式 GB/T 7714 | Butt, Muhammad Munir. A multigrid solver for Stokes control problems[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2017,94(12):2297-2314. |
| APA | Butt, Muhammad Munir.(2017).A multigrid solver for Stokes control problems.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,94(12),2297-2314. |
| MLA | Butt, Muhammad Munir."A multigrid solver for Stokes control problems".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 94.12(2017):2297-2314. |
入库方式： OAI收割
来源：数学与系统科学研究院
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