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dc.contributor.authorKuznik, K.
dc.contributor.authorPaszynski, M.
dc.contributor.authorCalo, Victor
dc.date.accessioned2017-03-24T11:53:19Z
dc.date.available2017-03-24T11:53:19Z
dc.date.created2017-03-23T06:59:54Z
dc.date.issued2012
dc.identifier.citationKuznik, K. and Paszynski, M. and Calo, V. 2012. Graph grammar-based multi-frontal parallel direct solver for two-dimensional isogeometric analysis. Procedia Computer Science. 9: pp. 1454-1463.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/51461
dc.identifier.doi10.1016/j.procs.2012.04.160
dc.description.abstract

This paper introduces the graph grammar based model for developing multi-thread multi-frontal parallel direct solver for two dimensional isogeometric finite element method. Execution of the solver algorithm has been expressed as the sequence of graph grammar productions. At the beginning productions construct the elimination tree with leaves corresponding to finite elements. Following sequence of graph grammar productions generates element frontal matrices at leaf nodes, merges matrices at parent nodes and eliminates rows corresponding to fully assembled degrees of freedom. Finally, there are graph grammar productions responsible for root problem solution and recursive backward substitutions. Expressing the solver algorithm by graph grammar productions allows us to explore the concurrency of the algorithm. The graph grammar productions are grouped into sets of independent tasks that can be executed concurrently. The resulting concurrent multi-frontal solver algorithm is implemented and tested on NVIDIA GPU, providing O(NlogN) execution time complexity where N is the number of degrees of freedom. We have confirmed this complexity by solving up to 1 million of degrees of freedom with 448 cores GPU. © 2012 Published by Elsevier Ltd.

dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/
dc.titleGraph grammar-based multi-frontal parallel direct solver for two-dimensional isogeometric analysis
dc.typeConference Paper
dcterms.source.volume9
dcterms.source.startPage1454
dcterms.source.endPage1463
dcterms.source.issn1877-0509
dcterms.source.titleProcedia Computer Science
dcterms.source.seriesProcedia Computer Science
curtin.note

Paper presented at International Conference on Computational Science, ICCS 2012

curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access


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