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一类腔体问题的二阶三棱柱矢量有限元方法

曹艳斌 李郴良

桂林电子科技大学学报2011,Vol.31Issue(2):160-162,3.
桂林电子科技大学学报2011,Vol.31Issue(2):160-162,3.

一类腔体问题的二阶三棱柱矢量有限元方法

Second order triangular prism vector finite element method for a type of cavity problems

曹艳斌 1李郴良1

作者信息

  • 1. 桂林电子科技大学数学与计算科学学院,广西桂林541004
  • 折叠

摘要

Abstract

To improve the accuracy and efficiency for electromagnetic numerical computation, high order triangular prism vector elements have been investigated. However,it is a pity that explicit research on triangular prism vector element application is only confined to the first order case,and that the FEM in the first order case has a low accuracy. Based on the method of deducing a vector element from a nodal element presented by Ahagon, and started with the nodal basis functions of a kind of second order triangular prism element model,the deduction of the vector basis functions for the model is presented. After that, the vector basis functions are classified to make it convenient to compute the integrals of the two kinds of element stiffness matrices. Applied to cavity problems, the set of second order triangular prism vector basis functions shows a higher accuracy and lower computation cost.

关键词

三棱柱单元/二阶矢量元/腔体

Key words

triangular prism elements/ second order vector element/ cavity

分类

数理科学

引用本文复制引用

曹艳斌,李郴良..一类腔体问题的二阶三棱柱矢量有限元方法[J].桂林电子科技大学学报,2011,31(2):160-162,3.

基金项目

广西科学研究与技术开发计划项目(0731018) (0731018)

桂林电子科技大学学报

1673-808X

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