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Title:Krylov Subspace Methods for Topology Optimization on Adaptive Meshes
Author(s):Wang, Shun
Doctoral Committee Chair(s):de Sturler, Eric; Paulino, Glaucio H.
Department / Program:Computer Science
Discipline:Computer Science
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Computer Science
Abstract:Third, we propose a multilevel sparse approximate inverse (MSPAI) preconditioner for adaptive mesh refinement. It significantly improves the conditioning of the linear systems by approximating the global modes with multilevel techniques, while remaining cheap to update and apply, especially when the mesh changes. For convection-diffusion problems, it achieves a level-independent convergence rate. We then make a few extensions in the MSPAI preconditioner for topology optimization problems, which lead to nearly level-independent convergence rate and better scalability than incomplete factorization type of preconditioners.
Issue Date:2007
Type:Text
Language:English
Description:124 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
URI:http://hdl.handle.net/2142/81795
Other Identifier(s):(MiAaPQ)AAI3290423
Date Available in IDEALS:2015-09-25
Date Deposited:2007


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