文章基本信息

标题：Using a graph grammar system in the finite element method
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作者：Barbara Strug ; Anna Paszyńska ; Maciej Paszyński 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2013
卷号：23
期号：4
DOI：10.2478/amcs-2013-0063
出版社：De Gruyter Open
摘要：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 geophysi
关键词：graph grammar system; automatic hp adaptivity; finite element method