矢量波动方程的新瀑布型多重网格方法  

A New Cascadic Multi-Grid Method for the Vector Wave Equation

作　　者：陆康梅[1] 李郴良[1] 曹艳斌[1] 

机构地区：[1]桂林电子科技大学数学与计算机科学学院,广西桂林541004

出　　处：《云南民族大学学报（自然科学版）》2011年第4期267-271,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：广西科学研究与技术开发计划资助项目(0731018)

摘　　要：矢量有限元因能有效地避免伪解而被广泛用于模拟分析电磁问题,选取矢量有限元对电磁场矢量波动方程进行离散计算.基于本征有限元外推技术,将有限元外推技术推广应用到矢量波动方程本征问题,并结合瀑布型多重网格方法提出了一种基于矢量场本征问题的外推瀑布型多重网格方法.算例说明新方法是一种具有高精度的有效方法.The vector finite element method,which can effectively avoid the spurious modes,is widely used in the analysis of electromagnetic problems,as is the case in the discrete calculating of the vector wave equation.The finite element extrapolation technique for the eigenvalue problem,which is proposed by Yang Yi-duo,is extended and applied to eigenvalue problems of vector wave equation.In this paper,a new cascadic multi-grid method based on the vector field eigenvalue problem is proposed,based on the extrapolation technique.The numerical results show that the new method is a very accurate and efficient method.

关 键 词：瀑布型多重网格方法 矢量有限元 外推 矢量波动方程 

分 类 号：O241.82[理学—计算数学]