Multigrid Accelerated Cellular Automata for Structural Optimization: A 1-D Implementation

Simple item page
dc.contributor.authorKim, Sunwooken
dc.contributor.committeechairGürdal, Zaferen
dc.contributor.committeememberJones, Mark T.en
dc.contributor.committeememberKapania, Rakesh K.en
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2011-08-06T16:01:42Zen
dc.date.adate2004-06-23en
dc.date.available2011-08-06T16:01:42Zen
dc.date.issued2002-12-16en
dc.date.rdate2007-06-23en
dc.date.sdate2004-06-18en
dc.description.abstractMultigrid acceleration is typically used for the iterative solution of partial differential equations in physics and engineering. A typical multigrid implementation uses a base discretization method, such as finite elements or finite differences, and a set of successively coarser grids that is used for accelerating the convergence of the iterative solution on the base grid. The presented thesis extends the use of multigrid acceleration to the design optimization of a sample structural system and demonstrates it within the context of the recently introduced Cellular Automata paradigm for design optimization. Within the design context, the multigrid scheme is not only used for accelerating the analysis iterations, but is also used to help refine the design across multiple grid levels to accelerate the design convergence. A comparison of computational efficiencies achieved by different multigrid implementations, including the multigrid accelerated nested design iteration scheme, is presented. The method is described in its generic form which can be applicable not only to the Cellular Automata paradigm but also to more general finite element analysis based design schemes as well.en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.otheretd-06182004-124033en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06182004-124033en
dc.identifier.urihttp://hdl.handle.net/10919/9971en
dc.publisherVirginia Techen
dc.relation.haspartMG_sunwook_paper005.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectstructural optimizationen
dc.subjectMultigriden
dc.subjectCellular Automataen
dc.titleMultigrid Accelerated Cellular Automata for Structural Optimization: A 1-D Implementationen
dc.typeThesisen
thesis.degree.disciplineAerospace and Ocean Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
MG_sunwook_paper005.pdf
Size:
1.4 MB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses