摘要
针对网格方法分析波导本征问题时常面临剖分和近似精度低的问题,论文将基于配点原理的径向基函数无网格方法引入进来.给出径向基函数法求解本征值问题的方法、实施步骤和相应的离散方程形式.以矩形、圆形和L形波导的本征分析为例,通过与有限元法比较,反映该方法具有计算量小和精度高的优势,另外,它实施方便并易于推广到高维问题中.
Traditional mesh-based methods in eigen analysis of wavcguide meet two big challengers. One comes from the mesh generation, which is a big difficulty especially in complex geometry. The other originates from the local linear approximation, whose approximation accuracy is poor. So radial basis function method was introduced in this paper, which is a kind of meshless methods with collocation type. Ideas on how to solve eigenvalue problems and detailed implementation procedure were presented with corresponding discrete equations. Comparing to finite element method in the analyzing rectangular, round and L-shaped wavegtilde, the method suggested in this paper can be realized with low computation and high precision. In addition, the radial basis function method can be implemented more convenient and also can be extended into high dimension problems easily.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2008年第12期2433-2438,共6页
Acta Electronica Sinica
关键词
径向基函数
无网格法
波导
本征模型
radial basis function
meshless method
waveguide
eigen modal
