Hypergraph Grammars in hp-adaptive Finite Element Method

被引：6

作者：

Lusarczyk, Grazyna ^{[1
]}

Paszynska, Anna ^{[1
]}

机构：

[1] Jagiellonian Univ, PL-30059 Krakow, Poland

来源：

2013 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE | 2013年 / 18卷

关键词：

finite element method; hypergraphs; hypergraph grammars;

D O I：

10.1016/j.procs.2013.05.322

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper presents the hypergraph grammar for modelling the hp-adaptive finite element method algorithm with rectangular elements. The finite element mesh is represented by a hypergraph. All mesh transformations are modelled by means of hypergraph grammar rules. These rules allow to generate the initial mesh, to assign values of polynomial order to the element nodes, to generate the matrix for each element, to solve the problem and to perform the hp-adaptation. (C) 2013 The Authors. Published by Elsevier B.V. Selection and peer review under responsibility of the organizers of the 2013 International Conference on Computational Science

引用

页码：1545 / 1554

页数：10

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