Dimensional reduction of electromagnetic boundary value problems

被引：6

作者：

Raumonen, Pasi ^{[1
]}

Suuriniemi, Saku ^{[1
]}

Kettunen, Lauri ^{[1
]}

机构：

[1] Tampere Univ Technol, Dept Math, FI-33101 Tampere, Finland

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

FIELD;

D O I：

10.1186/1687-2770-2011-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops a systematic and formal approach to dimensional reduction of electromagnetic boundary value problems. The approach is based on the concept of continuous symmetry, and the definitions and the mathematical structures used are conceptually distinct and completely coordinate-free and independent of dimensions. The approach leads to sufficient conditions for when a boundary value problem can be solved as a lower-dimensional one and it shows how to systematically formulate the lower-dimensional problems. The symmetries are described with Lie groups that are products of connected 1-D Lie groups.

引用

页数：25

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