Comparison of natural and finite element interpolation functions behavior

被引：2

作者：

Goncalves, B. M. F. ^{[1
]}

Afonso, M. M. ^{[2
]}

Coppoli, E. H. R. ^{[2
]}

Ramdane, B. ^{[3
]}

Marechal, Y. ^{[3
]}

Vollaire, C. ^{[4
]}

Krahenbuhl, L. ^{[4
]}

机构：

[1] Fed Inst North Minas Gerais IFNMG, Montes Claros, MG, Brazil

[2] UFSJ, CEFET MG, Elect Engn Postgrad Program, Belo Horizonte, MG, Brazil

[3] Elect Engn Lab Grenoble G2ELAB, Grenoble, France

[4] Ecole Cent Lyon, AMPERE Lab, Lyon, France

来源：

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS | 2018年 / 31卷 / 02期

关键词：

interface condition; material discontinuities; natural element method; visibility criterion; METHOD C-NEM;

D O I：

10.1002/jnm.2230

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the interpolation functions behavior of the natural element method (NEM) and the finite element method (FEM) are compared. It is discussed how the unknown in both methods affects the stiffness matrix and contributes to NEM better accuracy. The visibility criterion and the constrained NEM are also addressed, and a pseudoalgorithm is proposed to implement the constrained Voronoi diagram, which is the base for the constrained NEM. A complex heterogeneous magnetic problem is solved by both FEM and NEM methods and their solutions are compared. It is shown that for the same discretization, the number of contributions for NEM is in general bigger than those related to the FEM and better accuracy results for NEM.

引用

页数：7

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