Radial basis function and finite element method hybrid approach for three-dimensional electromagnetics problems

Han Xiaoming; Liu Zheng; Li Guofeng; Wang Zhen; Wu Ziku; Wu Yan

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Radial basis function and finite element method hybrid approach for three-dimensional electromagnetics problems

机译：三维电磁学问题的径向基函数和有限元方法混合方法

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摘要

This paper presents a Radial Basis Function (RBF) and Finite Element Method (FEM) hybrid approach to solve a 3-D electromagnetic problem. The proposed method divides the entire computational domain into a series of sub-domains. The shape functions of each sub-domain are obtained by point interpolation method based on RBF to improve fitting performance of FEM. Each sub-domain consists of Galerkin FEM elements in the entire computational domain. To validate the proposed method, a case study is carried out based on a dual-electrode DC arc furnace. The results demonstrate that RBF and FEM hybrid approach in this paper is superior to the traditional FEM.

机译：本文提出了一种径向基函数（RBF）和有限元方法（FEM）混合方法来解决3-D电磁问题。该方法将整个计算域划分为一系列子域。通过基于RBF的点插值方法获得每个子域的形状函数，以提高FEM的拟合性能。每个子域包括整个计算域中的Galerkin Fem元件。为了验证所提出的方法，基于双电极DC电弧炉进行案例研究。结果表明，本文中的RBF和FEM混合方法优于传统的FEM。

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来源
《International journal of applied electromagnetics and mechanics》 |2019年第3期|共11页
作者
Han Xiaoming; Liu Zheng; Li Guofeng; Wang Zhen; Wu Ziku; Wu Yan;
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作者单位

Dalian Univ Technol Sch Elect Engn 2 Linggong Rd Dalian 116024 Liaoning Peoples R China;

Dalian Univ Technol Sch Elect Engn 2 Linggong Rd Dalian 116024 Liaoning Peoples R China;

Dalian Univ Technol Sch Elect Engn 2 Linggong Rd Dalian 116024 Liaoning Peoples R China;

Dalian Univ Technol Sch Elect Engn 2 Linggong Rd Dalian 116024 Liaoning Peoples R China;

Qingdao Agr Univ Sci &

Informat Coll Qingdao Shandong Peoples R China;

Dalian Univ Technol Sch Elect Engn 2 Linggong Rd Dalian 116024 Liaoning Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类电磁学、电动力学;
关键词
Finite element method; radial basis function; magnetic vector potential; three dimensional (3-D);

机译：有限元方法;径向基函数;磁矢量电位;三维（3-D）;

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1. Radial basis function and finite element method hybrid approach for three-dimensional electromagnetics problems [J] . Han Xiaoming, Liu Zheng, Li Guofeng, International journal of applied electromagnetics and mechanics . 2019,第3期

机译：三维电磁学问题的径向基函数和有限元方法混合方法
2. Analytical finite element matrix elements and global matrix assembly for hierarchical 3-D vector basis functions within the hybrid finite element boundary integral method [J] . Li L., Wang K., Li H., Advances in Radio Science . 2014,第1期

机译：混合有限元边界积分法中层次3-D向量基函数的解析有限元矩阵元素和全局矩阵集合
3. Patient-specific modeling of facial soft tissue based on radial basis functions transformations of a standard three-dimensional finite element model [J] . LOU Hang-di, CHEN Si, CHEN Gui, 中华医学杂志（英文版） . 2012,第022期

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4. Hybrid Approach of Radial Basis Function and Domain Decomposition Method based on FEM with Different Shape of sub-domains for Electromagnetic Problems [C] . YangZou, Gang Lei, K. R. Shao, International Conference on the Computation of Electromagnetic Fields . 2016

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5. Space-Time Evolution with Radial Basis Functions and Hermite-Based Finite Difference Methods [D] . Abrahamsen, Dylan. 2020

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6. Topology optimization for three-dimensional electromagnetic waves using an edge element-based finite-element method [O] . Yongbo Deng, Jan G. Korvink -1

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7. Analytical finite element matrix elements and global matrix assembly for hierarchical 3-D vector basis functions within the hybrid finite element boundary integral method [O] . Li L., Wang K., Li H., 2014

机译：混合有限元边界积分方法中分层3-D向量基函数的解析有限元矩阵元素和全局矩阵集合

Radial basis function and finite element method hybrid approach for three-dimensional electromagnetics problems

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