Using a graph grammar system in the finite element method

Barbara Strug; Anna Paszynśka; Maciej Paszynśki; Ewa Grabska

doi:10.2478/amcs-2013-0063

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Using a graph grammar system in the finite element method

International Journal of Applied Mathematics and Computer Science

Volume 23 (2013): Issue 4 (December 2013)

By: Barbara Strug, Anna Paszynśka, Maciej Paszynśki and Ewa Grabska

Open Access

|Dec 2013

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2013-0063 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 839 - 853

Published on: Dec 31, 2013

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

graph grammar system,

automatic hp adaptivity,

finite element method

Related subjects:

Mathematics,

Applied mathematics

© 2013 Barbara Strug, Anna Paszynśka, Maciej Paszynśki, Ewa Grabska, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 23 (2013): Issue 4 (December 2013)