On the discretization of problems involving periodic planar tilings

被引：4

作者：

Bénard, A ^{[1
]}

Diaz, AR ^{[1
]}

机构：

[1] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2001年 / 17卷 / 08期

关键词：

tiling; periodic problems;

D O I：

10.1002/cnm.428

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Features related to the discretization of problems characterized by simple periodic tilings using cells of various shapes are discussed. Various cell geometries that tile the plane periodically are considered. Equivalent problems are identified, where the discretization can take place on a parallelogram, regardless of the shape of the original cell. These equivalent problems also suggest a numbering of the equations that results in matrices with interesting and useful properties. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：543 / 549

页数：7