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Graph transformation systems for modeling three dimensional finite element method : part I
automatic h adaptivity
finite element method
graph transformation system
In this paper we present several graph transformation systems modeling three dimensional h-adaptive Finite Element Method (3D h-FEM) algorithms with tetrahedral finite elements. In our approach a computational mesh is represented by a composite graph and mesh operations are expressed by the graph transformation rules. Each graph transformation system is responsible for different kind of operations. In particular, there is a graph transformation system expressing generation of an initial mesh, generating element matrices and elimination trees for interfacing with direct solver algorithm, a graph transformation system deciding which elements have to be further refined, as well as a graph transformation system responsible for execution of mesh refinements. These graph transformation systems are tested using a graph transformation tool (called GRAGRA), which provides a graphical environment for defining graphs, graph transformation rules and graph transformation systems. In this paper we illustrate the concepts by using an exemplary derivation for a three dimensional projection problem, based on a set of graph transformation rules.
cris.lastimport.scopus | 2024-04-24T06:24:26Z | |
cris.lastimport.wos | 2024-04-10T03:26:23Z | |
dc.abstract.en | In this paper we present several graph transformation systems modeling three dimensional h-adaptive Finite Element Method (3D h-FEM) algorithms with tetrahedral finite elements. In our approach a computational mesh is represented by a composite graph and mesh operations are expressed by the graph transformation rules. Each graph transformation system is responsible for different kind of operations. In particular, there is a graph transformation system expressing generation of an initial mesh, generating element matrices and elimination trees for interfacing with direct solver algorithm, a graph transformation system deciding which elements have to be further refined, as well as a graph transformation system responsible for execution of mesh refinements. These graph transformation systems are tested using a graph transformation tool (called GRAGRA), which provides a graphical environment for defining graphs, graph transformation rules and graph transformation systems. In this paper we illustrate the concepts by using an exemplary derivation for a three dimensional projection problem, based on a set of graph transformation rules. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Zakład Projektowania i Grafiki Komputerowej | pl |
dc.contributor.author | Ryszka, Iwona | pl |
dc.contributor.author | Paszyńska, Anna - 160672 | pl |
dc.contributor.author | Grabska, Ewa - 128162 | pl |
dc.contributor.author | Sieniek, Marcin | pl |
dc.contributor.author | Paszyński, Maciej | pl |
dc.date.accessioned | 2015-12-15T12:32:34Z | |
dc.date.available | 2015-12-15T12:32:34Z | |
dc.date.issued | 2015 | pl |
dc.description.admin | [AB] Ryszka, Iwona 50000139 | |
dc.description.number | 2 | pl |
dc.description.physical | 129-172 | pl |
dc.description.publication | 2,9 | pl |
dc.description.volume | 140 | pl |
dc.identifier.doi | 10.3233/FI-2015-1248 | pl |
dc.identifier.eissn | 1875-8681 | pl |
dc.identifier.issn | 0169-2968 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/18288 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Dodaję tylko opis bibliograficzny | * |
dc.rights.licence | bez licencji | |
dc.rights.uri | * | |
dc.subject.en | automatic h adaptivity | pl |
dc.subject.en | finite element method | pl |
dc.subject.en | graph transformation system | pl |
dc.subtype | Article | pl |
dc.title | Graph transformation systems for modeling three dimensional finite element method : part I | pl |
dc.title.journal | Fundamenta Informaticae | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |