Hypergraph grammar based adaptive linear computational cost projection solvers for two and three dimensional modeling of brain

2014
journal article
article
1
dc.abstract.enIn this paper we present a hypergraph grammar model for transformation of two and three dimensional grids. The hypergraph grammar concerns the proces of generation of uniform grids with two or three dimensional rectangular or hexahedral elements, followed by the proces of h refinements, namely breaking selected elements into four or eight son elements, in two or three dimensions, respectively. The hypergraph grammar presented in this paper expresses also the two solver algorithms. The first one is the projection based interpolation solver algorithm used for computing H^{1} or L^{2} projections of MRI scan of human head, in two and three dimensions. The second one is the multi-frontal direct solver utilized in the loop of the Euler scheme for solving the non-stationary problem modeling the three dimensional heat transport in the human head generated by the cellphone usage.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Zakład Projektowania i Grafiki Komputerowejpl
dc.contributor.authorGoik, Damianpl
dc.contributor.authorSieniek, Marcinpl
dc.contributor.authorWoźniak, Maciejpl
dc.contributor.authorPaszyńska, Anna - 160672 pl
dc.contributor.authorPaszyński, Maciejpl
dc.date.accessioned2015-05-27T10:10:26Z
dc.date.available2015-05-27T10:10:26Z
dc.date.issued2014pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.physical1002-1013pl
dc.description.publication1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume29pl
dc.identifier.doi10.1016/j.procs.2014.05.090pl
dc.identifier.eissn1877-0509pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/8216
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceCC-BY-NC-ND
dc.rights.uri*
dc.share.typeotwarte czasopismo
dc.subject.enhypergraph grammarpl
dc.subject.enprojection solverpl
dc.subject.enMRI scanpl
dc.subject.ennon-stationary heat transferpl
dc.subject.enbrain heating by cellphonepl
dc.subtypeArticlepl
dc.titleHypergraph grammar based adaptive linear computational cost projection solvers for two and three dimensional modeling of brainpl
dc.title.journalProcedia Computer Sciencepl
dc.title.volume2014 International Conference on Computational Sciencepl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
In this paper we present a hypergraph grammar model for transformation of two and three dimensional grids. The hypergraph grammar concerns the proces of generation of uniform grids with two or three dimensional rectangular or hexahedral elements, followed by the proces of h refinements, namely breaking selected elements into four or eight son elements, in two or three dimensions, respectively. The hypergraph grammar presented in this paper expresses also the two solver algorithms. The first one is the projection based interpolation solver algorithm used for computing H^{1} or L^{2} projections of MRI scan of human head, in two and three dimensions. The second one is the multi-frontal direct solver utilized in the loop of the Euler scheme for solving the non-stationary problem modeling the three dimensional heat transport in the human head generated by the cellphone usage.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Zakład Projektowania i Grafiki Komputerowej
dc.contributor.authorpl
Goik, Damian
dc.contributor.authorpl
Sieniek, Marcin
dc.contributor.authorpl
Woźniak, Maciej
dc.contributor.authorpl
Paszyńska, Anna - 160672
dc.contributor.authorpl
Paszyński, Maciej
dc.date.accessioned
2015-05-27T10:10:26Z
dc.date.available
2015-05-27T10:10:26Z
dc.date.issuedpl
2014
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.physicalpl
1002-1013
dc.description.publicationpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
29
dc.identifier.doipl
10.1016/j.procs.2014.05.090
dc.identifier.eissnpl
1877-0509
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/8216
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
CC-BY-NC-ND
dc.rights.uri*
dc.share.type
otwarte czasopismo
dc.subject.enpl
hypergraph grammar
dc.subject.enpl
projection solver
dc.subject.enpl
MRI scan
dc.subject.enpl
non-stationary heat transfer
dc.subject.enpl
brain heating by cellphone
dc.subtypepl
Article
dc.titlepl
Hypergraph grammar based adaptive linear computational cost projection solvers for two and three dimensional modeling of brain
dc.title.journalpl
Procedia Computer Science
dc.title.volumepl
2014 International Conference on Computational Science
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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