A parallel two-level domain decomposition based one-shot method for shape optimizationproblems

	A parallel two-level domain decomposition based one-shot method for shape optimizationproblems
	Chen, Rongliang; Cai, Xiao-Chuan
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
	2014
英文摘要	A two-level domain decomposition method is introduced for general shape optimization problems constrained by the incompressible Navier-Stokes equations. The optimization problem is first discretized with a finite element method on an unstructured moving mesh that is implicitly defined without assuming that the computational domain is known and then solved by some one-shot Lagrange-Newton-Krylov-Schwarz algorithms. In this approach, the shape of the domain, its corresponding finite element mesh, the flow fields and their corresponding Lagrange multipliers are all obtained computationally in a single solve of a nonlinear system of equations. Highly scalable parallel algorithms are absolutely necessary to solve such an expensive system. The one-level domain decompositionmethod works reasonably well when the number of processors is not large. Aiming for machines with a large number of processors and robust nonlinear convergence, we introduce a two-level inexact Newton method with a hybrid two-level overlapping Schwarz preconditioner. As applications, we consider theshape optimization of a cannula problem and an artery bypass problem in 2D. Numerical experiments show that our algorithm performs well on asupercomputer with over 1000 processors for problems with millions of unknowns. Copyright (c) 2014 John Wiley & Sons, Ltd.
收录类别	SCI
原文出处	http://onlinelibrary.wiley.com/doi/10.1002/nme.4711/abstract
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/5970]
专题	深圳先进技术研究院_数字所
作者单位	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
推荐引用方式 GB/T 7714	Chen, Rongliang,Cai, Xiao-Chuan. A parallel two-level domain decomposition based one-shot method for shape optimizationproblems[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2014.
APA	Chen, Rongliang,&Cai, Xiao-Chuan.(2014).A parallel two-level domain decomposition based one-shot method for shape optimizationproblems.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.
MLA	Chen, Rongliang,et al."A parallel two-level domain decomposition based one-shot method for shape optimizationproblems".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2014).