Szczegóły publikacji
Opis bibliograficzny
Graph transformations for modeling hp-adaptive Finite Element Method with tringular elements / Anna Paszyńska, Maciej PASZYŃSKI, Ewa Grabska // W: Computational Science – ICCS 2008 : 8th International Conference : Kraków, Poland, June 23–25, 2008 : proceedings , Pt. 3 / eds. Marian Bubak, Geert Dick van Albada, Jack Dongarra, Peter M. A. Sloot. — Berlin ; Heidelberg : Springer-Verlag, cop. 2008. — ( Lecture Notes in Computer Science ; ISSN 0302-9743 ; LNCS 5103. Theoretical Computer Science and General Issues ; ISSN 0302-9743 ). — ISBN: 978-3-540-69388-8; ISBN: 3-540-69-388-2; e-ISBN: 978-3-540-69389-5. — S. 604–613. — Bibliogr. s. 612–613, Abstr.
Autorzy (3)
- Paszyńska Anna
- AGHPaszyński Maciej
- Grabska Ewa
Dane bibliometryczne
| ID BaDAP | 40323 |
|---|---|
| Data dodania do BaDAP | 2008-09-26 |
| DOI | 10.1007/978-3-540-69389-5_68 |
| Rok publikacji | 2008 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp | |
| Czasopisma/serie | Lecture Notes in Computer Science, Theoretical Computer Science and General Issues |
Abstract
The paper presents composition graph (CP-graph) grammar, which consists of a set of CP-graph transformations, suitable for modeling triangular finite element mesh transformations utilized by the self-adaptive hp Finite Element Method (FEM). The hp adaptive FEM allows to utilize distributed computational meshes, with finite elements of various size (thus h stands for element diameter) and polynomial orders of approximation varying locally, on finite elements edges and interiors (thus p stands for polynomial order of approximation). The computational triangular mesh is represented by attributed CP-graph. The proposed graph transformations model the initial mesh generation, procedure of h refinement (breaking selected finite elements into son elements) I and p refinement (adjusting polynomial orders of approximation on selected element edges and interiors). The graph grammar has been defined and verified by implemented graph grammar transformation software tool.