Using a graph grammar system in the finite element method

Barbara Strug; Anna Paszyńska; Maciej Paszyński; Ewa Grabska

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 4, page 839-853
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Barbara Strug, et al. "Using a graph grammar system in the finite element method." International Journal of Applied Mathematics and Computer Science 23.4 (2013): 839-853. <http://eudml.org/doc/262415>.

@article{BarbaraStrug2013,
abstract = {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.},
author = {Barbara Strug, Anna Paszyńska, Maciej Paszyński, Ewa Grabska},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {graph grammar system; automatic hp adaptivity; finite element method},
language = {eng},
number = {4},
pages = {839-853},
title = {Using a graph grammar system in the finite element method},
url = {http://eudml.org/doc/262415},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Barbara Strug
AU - Anna Paszyńska
AU - Maciej Paszyński
AU - Ewa Grabska
TI - Using a graph grammar system in the finite element method
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 4
SP - 839
EP - 853
AB - 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.
LA - eng
KW - graph grammar system; automatic hp adaptivity; finite element method
UR - http://eudml.org/doc/262415
ER -

References

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