A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations
文献类型：期刊论文
| 作者 | Butt, M. M.1,2; Yuan, Y.1
|
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2017-08-01 |
| 卷号 | 10期号:3页码:639-655 |
| 关键词 | PDE-constrained optimization stokes equations multigrid staggered grids finite difference |
| ISSN号 | 1004-8979 |
| DOI | 10.4208/nmtma.2017.m1637 |
| 英文摘要 | A full multigrid method with coarsening by a factor-of-three to distributed control problems constrained by Stokes equations is presented. An optimal control problem with cost functional of velocity and/or pressure tracking-type is considered with Dirichlet boundary conditions. The optimality system that results from a Lagrange multiplier framework, form a linear system connecting the state, adjoint, and control variables. We investigate multigrid methods with finite difference discretization on staggered grids. A coarsening by a factor-of-three is used on staggered grids that results nested hierarchy of staggered grids and simplified the inter-grid transfer operators. A distributive-Gauss-Seidel smoothing scheme is employed to update the stateand adjoint-variables and a gradient update step is used to update the control variables. Numerical experiments are presented to demonstrate the effectiveness and efficiency of the proposed multigrid framework to tracking-type optimal control problems. |
| 资助项目 | CAS President's International Fellowship Initiative (PIFI) |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000403905600007 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25880]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Butt, M. M. |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Govt Punjab, Higher Educ Dept, Lahore 54000, Pakistan |
| 推荐引用方式 GB/T 7714 | Butt, M. M.,Yuan, Y.. A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2017,10(3):639-655. |
| APA | Butt, M. M.,&Yuan, Y..(2017).A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,10(3),639-655. |
| MLA | Butt, M. M.,et al."A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 10.3(2017):639-655. |
入库方式： OAI收割
来源：数学与系统科学研究院
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