摘要
通过Laplace方程复杂边值问题的保角变换降维处理，可对各型电容器的设计提供便捷的理论分析方法，并可推广到其他物理问题中的二维和三维Laplace方程复杂边值问题的求解。其优点是避免了数学物理方程中求解的繁琐性及解的适定性讨论，是复杂边值问题求解的又一途径。
In this paper, the problem of the reduction of dimensions for Laplace equation(s conformal transformation is discussed. Based on the Schwarz-Christoffel transformation method and mathematical analysis, the method of reducing dimensions for Laplace equation is obtained. The results of this paper are generalized which solve problems of 2-dimension and 3-dimension for Laplace equation, with the boundary problem of complex.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2001年第1期87-90,共4页
Journal of University of Electronic Science and Technology of China
关键词
保角变换
带形区域
降维
LAPLACE方程
conformal transformation
region
strip region
the reduction of dimension
