MIXED FINITE-ELEMENTS ASSOCIATED WITH A COLLECTION OF TETRAHEDRON, HEXAHEDRA AND PRISMS

被引：56

作者：

DULAR, P

HODY, JY

NICOLET, A

GENON, A

LEGROS, W

机构：

[1] University of Liège - Dept of Electrical Engineering Institut Montefiore - Sart Tilman Bât, B28 - B-4000, Liège, (Belgium)

来源：

IEEE TRANSACTIONS ON MAGNETICS | 1994年 / 30卷 / 05期

关键词：

D O I：

10.1109/20.312563

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：

A generalization of the Whitney complex is proposed, which is associated no more with simplices, i.e. tetrahedra in three dimensions, but with collections of three kinds of geometric elements: tetrahedra, hexahedra and prisms. Nodal, edge, facet and volume finite elements, i.e. mixed elements, associated with collections of those geometric elements, are defined. Base functions for approximation spaces relative to these finite elements are defined and their properties are established. A geometric interpretation of these functions is given.

引用

页码：2980 / 2983

页数：4

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