WHITNEY FORMS OF HIGHER DEGREE

被引：47

作者：

Rapetti, Francesca ^{[1
,2
]}

Bossavit, Alain ^{[3
,4
]}

机构：

[1] CNRS, UMR 6621, Math Lab, F-06108 Nice 02, France

[2] Univ Nice & Sophia Antipolis, F-06108 Nice 02, France

[3] CNRS, UMR 8507, Lab Genie Elect Paris, F-91192 Gif Sur Yvette, France

[4] Univ Supelec, F-91192 Gif Sur Yvette, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 03期

关键词：

Whitney forms; simplicial meshes; high-order approximations; FINITE-ELEMENTS; HIGHER-ORDER; TETRAHEDRA; BASES;

D O I：

10.1137/070705489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Low-order Whitney elements are widely used for electromagnetic field problems. Higher-order approximations are receiving increasing interest, but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney p-elements of polynomial degree higher than one that use only degrees of freedom associated to p-chains. We provide a basis for these elements on simplicial meshes and give a geometrical localization of all degrees of freedom. Properties of the higher-order Whitney complex are deeply investigated.

引用

页码：2369 / 2386

页数：18

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