基于非规范电磁势三维涡流问题的有限元逼近(英文)

doi:10.7523/j.issn.2095-6134.2003.3.006

中国科学院大学学报 ›› 2003, Vol. 20 ›› Issue (3): 296-304.DOI: 10.7523/j.issn.2095-6134.2003.3.006

基于非规范电磁势三维涡流问题的有限元逼近(英文)

马昌凤^1,2, 梁国平²

1. 桂林电子工业学院计算科学与应用物理系, 桂林 541004
2. 中国科学院数学与系统科学研究院数学研究所, 北京 100080

收稿日期:2002-04-22 修回日期:2002-09-30 发布日期:2003-05-10

Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials

MA ChangFeng^1,2, LIANG GuoPing²

1. Dept. of Computational Science Applid Physics, Guilin Institute of Electronic Technalogy, Guilin 541004, China;
2. Institute of Mathematics, Academy of Mathematics System Sciences, Chinese Academy of Sciences, Beijing 100080, China

Received:2002-04-22 Revised:2002-09-30 Published:2003-05-10

摘要/Abstract

摘要：

最近 20年来,A φ法已广泛应用于涡流模型的数值计算,但关于该方法的误差分析在国内外迄今尚未能见到有关文献。给出了基于非规范电磁势的三维涡流问题有限元方法的一个收敛性分析。在适当的正则性假设下,得到了全离散有限元A φ格式的误差估计

关键词: 涡流问题, A-φ法, 有限元逼近, 非规范电磁势, 误差估计

Abstract:

The A-φmethod by means of finite element approximation has been applied far and wide in the quasi-magnetostatic eddy current computation in the last two decades.However, the literature on the error estimates of this method can not be found so far yet.This provides a convergence analysis of A-φmethod for 3D eddy-current problems based on ungauged potentials by means of finite element approximation.Error estimates of the proposed method are given under the appropriate regular conditions.

Key words: eddy-current problem, A-φmethod, finite element approximations, ungauged potentials, errorestimates

中图分类号:

O441

马昌凤, 梁国平. 基于非规范电磁势三维涡流问题的有限元逼近(英文)[J]. 中国科学院大学学报, 2003, 20(3): 296-304.

MA ChangFeng, LIANG GuoPing. Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials[J]. , 2003, 20(3): 296-304.

基于非规范电磁势三维涡流问题的有限元逼近(英文)

Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价

访问统计

联系我们