REPRESENTATION OF DIVERGENCE-FREE VECTOR FIELDS

被引：21

作者：

Barbarosie, Cristian ^{[1
]}

机构：

[1] CMAF, P-1649003 Lisbon, Portugal

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2011年 / 69卷 / 02期

关键词：

D O I：

10.1090/S0033-569X-2011-01215-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on a representation result for divergence-free vector fields. Known results are recalled, namely the representation of divergence-free vector fields as curls in two and three dimensions. The representation proposed in the present paper expresses the vector field as an exterior product of gradients and remains valid in arbitrary dimensions. Links to computer graphics and to partial differential equations are discussed.

引用

页码：309 / 316

页数：8

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