GEOMETRICAL SYMMETRY IN THE BOUNDARY-ELEMENT METHOD

被引：8
|
作者：
LOBRY, J
BROCHE, C
机构：
[1] Faculté Polytechnique de Mons, Department of Electrical Engineering, 7000 Mons, Bd. Dolez
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1994年 / 14卷 / 03期
关键词：
SYMMETRY; GROUP THEORY; BOUNDARY ELEMENT METHOD;
D O I：
10.1016/0955-7997(94)90039-6
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Geometrical symmetry is found in many linear field problems. It cannot be intuitively taken into account for general excitation. A rationale is thus required and the group representation theory is the only valuable tool for this purpose. A theoretical description of this concept with application to the boundary element method is presented. Symmetrized kernels are derived in a systematic way. The general non-abelian case of symmetry is considered. Numerical results are presented and gains in CPU time and memory volume are measured to demonstrate the efficiency of the method.
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页码：229 / 238
页数：10
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