A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations | |
Butt, M. M.1,2; Yuan, Y.1 | |
刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS |
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 |
出版者 | CAMBRIDGE UNIV PRESS |
WOS记录号 | WOS:000403905600007 |
内容类型 | 期刊论文 |
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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论