| 基于非规范电磁势三维涡流问题的有限元逼近(英文) |
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| 作者姓名： | 马昌凤 梁国平 |
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| 作者单位： | 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 |
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| 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
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| 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 |
| 收稿时间： | 2002-04-22 |
| 修稿时间： | 2002-09-30 |
Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials |
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| Authors: | MA ChangFeng LIANG GuoPing |
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| Institution: | 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 |
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| 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. |
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| Keywords: | eddy-current problem A-φmethod finite element approximations ungauged potentials errorestimates |
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