Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows

doi:10.1016/j.jcp.2020.109286

	Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows
	He, Xin 1; Vuik, Cornelis 2
	2020-05-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	408 页码:18
摘要	This paper introduces three new Schur complement approximations for the augmented Lagrangian preconditioner. The incompressible Navier-Stokes equations discretized by a stabilized finite element method are utilized to evaluate these new approximations of the Schur complement. A wide range of numerical experiments in the laminar context determines the most efficient Schur complement approximation and investigates the effect of the Reynolds number, mesh anisotropy and refinement on the optimal choice. Furthermore, the advantage over the traditional Schur complement approximation is exhibited. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Navier-Stokes equations Stabilized finite element method Block structured preconditioners Schur complement approximations Augmented Lagrangian preconditioner
DOI	10.1016/j.jcp.2020.109286
收录类别	SCI
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000521731200018
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/14083
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Vuik, Cornelis
作者单位	1.Chinese Acad Sci, Inst Comp Technol, State Key Lab Comp Architecture, 6 Kexueyuan South Rd, Beijing 100190, Peoples R China 2.Delft Univ Technol, Delft Inst Appl Math, Van Mourik Broekmanweg 6, NL-2628XE Delft, Netherlands
推荐引用方式 GB/T 7714	He, Xin,Vuik, Cornelis. Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2020,408:18.
APA	He, Xin,&Vuik, Cornelis.(2020).Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows.JOURNAL OF COMPUTATIONAL PHYSICS,408,18.
MLA	He, Xin,et al."Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows".JOURNAL OF COMPUTATIONAL PHYSICS 408(2020):18.