Dimensional reduction of electromagnetic boundary value problems

Boundary value problems

Pasi Raumonen¹  Saku Suuriniemi²  Lauri Kettunen² 

[1] Department of Mathematics, Tampere University of Technology, Tampere, Finland;Electromagnetics, Tampere University of Technology, Tampere, Finland

关键词: Constitutive Equation;    Dimensional Reduction;    Differential Form;    Orbit Space;    Symmetry Transformation;   

DOI  :  10.1186/1687-2770-2011-9

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY