Extraction of finite element basis functions from the cellular topology of meshes

被引：0

作者：

Doucet, Cedric ^{[2
]}

Charpentier, Isabelle ^{[3
]}

Coulomb, Jean-Louis ^{[1
]}

Guerin, Christophe ^{[4
]}

机构：

[1] ENSIEG, CNRS, UMR 5269, Lab G2ELab, F-38402 St Martin Dheres, France

[2] CNRS, UMR 5224, Lab Jean Kuntzmann, F-38041 Grenoble 9, France

[3] CNRS, UMR 7554, Mecan & Phys Mat Lab, F-57045 Metz 1, France

[4] Cedrat SA, F-38246 Meylan, France

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2008年 / 44卷 / 06期

关键词：

algebraic topology; finite element methods;

D O I：

10.1109/TMAG.2007.915949

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper is devoted to the presentation of a simple but powerful topological approach for the computation of basis functions involved in the expression of finite element interpolants. It deals with the so-called nodal and edge elements but similar considerations can be made for the construction of facet ones. All standard cells are treated including pyramids.

引用

页码：726 / 729

页数：4

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