University of Illinois Urbana-Champaign

Krylov Subspace Methods for Topology Optimization on Adaptive Meshes

Wang, Shun

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Description

Title
Krylov Subspace Methods for Topology Optimization on Adaptive Meshes
Author(s)
Wang, Shun
Issue Date
2007
Doctoral Committee Chair(s)
  • de Sturler, Eric
  • Paulino, Glaucio H.
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
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.
Graduation Semester
2007
Type of Resource
text
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http://hdl.handle.net/2142/81795

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Graduate Dissertations and Theses at Illinois PRIMARY
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Dissertations and Theses from the Dept. of Computer Science