Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem

Zhaocheng Liu; Xiang Cui; Xuebao Li; Yongfan Zhan; Zhibin Zhao

doi:10.17775/CSEEJPES.2021.05860

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Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem

Regular Papers | 更新时间：2026-10-15

- Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem
- Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem
- 中国电机工程学会电力与能源系统学报(英文) 2023年9卷第5期页码：1710-1719
- 作者机构：
  
  State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University,Beijing,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2021.05860
  中图分类号：
- 纸质出版：2023-09-01
- 稿件说明：
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Zhaocheng Liu, Xiang Cui, Xuebao Li, 等. Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem[J]. 中国电机工程学会电力与能源系统学报(英文), 2023,9(5):1710-1719.

Zhaocheng Liu, Xiang Cui, Xuebao Li, et al. Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem[J]. CSEE Journal of Power and Energy Systems, 2023, 9(5): 1710-1719.
Zhaocheng Liu, Xiang Cui, Xuebao Li, 等. Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem[J]. 中国电机工程学会电力与能源系统学报(英文), 2023,9(5):1710-1719. DOI： 10.17775/CSEEJPES.2021.05860.

Zhaocheng Liu, Xiang Cui, Xuebao Li, et al. Interface Finite Element Method with Lower Calculation Amount for Step Size-varying Electro-quasistatic Field Problem[J]. CSEE Journal of Power and Energy Systems, 2023, 9(5): 1710-1719. DOI： 10.17775/CSEEJPES.2021.05860.

摘要

Abstract

A novel FEM called interface finite element method (I-FEM) is proposed for the step size-varying electro-quasistatic field (EQS) in this paper. First

the corresponding equation and interface conditions for I-FEM are given. Then

the numerical principle of I-FEM is conducted. In the proposed method

by the inverse matrix modification lemma

the calculation amount of I-FEM is decreased greatly. Furthermore

the corresponding example is given to verify the effectiveness and correctness of I-FEM. At last

the error analysis and universal promotion of the proposed I-FEM are given. Compared with the normal FEM

I-FEM can greatly decrease the calculation amount while the numerical accuracy of I-FEM is even better than the normal FEM in some case.

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references

30. COMSOL. ( 2021, Jul. 23 ). COMSOL: multiphysics software for optimizing designs . [Online ] . Available: https://www.comsol.com/.

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