Using a graph grammar system in the finite element method

• Autorzy: Barbara Strug , Anna Paszyńska , Maciej Paszyński , Ewa Grabska
• Języki publikacji: EN

Abstrakty

EN

The paper presents a system of Composite Graph Grammars (CGGs) modelling adaptive two dimensional hp Finite Element Method (hp-FEM) algorithms with rectangular finite elements. A computational mesh is represented by a composite graph. The operations performed over the mesh are defined by the graph grammar rules. The CGG system contains different graph grammars defining different kinds of rules of mesh transformations. These grammars allow one to generate the initial mesh, assign values to element nodes and perform h- and p-adaptations. The CGG system is illustrated with an example from the domain of geophysics.

Słowa kluczowe

EN

graph grammar system; automatic hp adaptivity; finite element method

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 4
• Strony: 839-853

Daty

wydano

2013

otrzymano

2013-02-20

poprawiono

2013-07-10

Twórcy

autor

Barbara Strug

• Department of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland

autor

Anna Paszyńska

• Department of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland

autor

Maciej Paszyński

• Department of Computer Science, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland

autor

Ewa Grabska

• Department of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland

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Identyfikatory

DOI

10.2478/amcs-2013-0063