A multigrid solver for Stokes control problems

doi:10.1080/00207160.2017.1283022

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	A multigrid solver for Stokes control problems
	Butt, Muhammad Munir 1,2
	2017
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	94 期号:12 页码:2297-2314
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.
关键词	Stokes equations PDE-constrained optimization multigrid staggered grids control-constrained 35Q93 49K20 65N55
DOI	10.1080/00207160.2017.1283022
语种	英语
资助项目	Chinese Academy of Sciences President's International Fellowship Initiative [PIFI]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000415666100003
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26826
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.