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

共 50 条

[41] FINITE ELEMENT DERIVATIVE INTERPOLATION RECOVERY TECHNIQUE AND SUPERCONVERGENCE
Zhang, Tie
Zhang, Shuhua
APPLICATIONS OF MATHEMATICS, 2011, 56 (06) : 513 - 531
[42] OPTIMAL FINITE-ELEMENT INTERPOLATION ON CURVED DOMAINS
BERNARDI, C
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (05) : 1212 - 1240
[43] INTERPOLATION OF ANALYTIC FUNCTIONS WITH FINITE NUMBER OF SPECIAL POINTS BY RATIONAL FUNCTIONS
Lipchinskij, Aleksandr Grigor'evich
Stolbov, Viktor Nikolaevich
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2018, 15 : 863 - 881
[44] New Frequency-Dependent Trigonometric Interpolation Functions for the Dynamic Finite Element Analysis of Thin Rectangular Plates
Jayasinghe, Supun
Hashemi, Seyed M.
SHOCK AND VIBRATION, 2018, 2018
[45] INFLUENCE FUNCTIONS IN FINITE ELEMENT METHOD
KOLAR, V
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1970, 50 (1-4): : T129 - &
[46] ON CONVEX FUNCTIONS AND THE FINITE ELEMENT METHOD
Aguilera, Nestor E.
Morin, Pedro
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (04) : 3139 - 3157
[47] Computational Performances of Natural Element and Finite Element Methods
Marechal, Yves
Ramdane, Brahim
Botelho, Diego Pereira
IEEE TRANSACTIONS ON MAGNETICS, 2014, 50 (02) : 405 - 408
[48] A comparison of finite element beam formulations for thermoelastic behavior of functionally graded structures
Eason, Thomas G.
Caraballo, Simon A.
PROCEEDINGS OF THE ASME AEROSPACE DIVISION, 2005, : 443 - 449
[49] COMPARISON BETWEEN FINITE-ELEMENT AND TRADITIONAL PROCEDURES FOR THE PREDICTION OF BUSBAR BEHAVIOR
BOTTAUSCIO, O
CHIAMPI, M
CHIARABAGLIO, D
TARTAGLIA, M
EUROPEAN TRANSACTIONS ON ELECTRICAL POWER ENGINEERING, 1995, 5 (04): : 233 - 238
[50] A new plate finite element using integral representation interpolation
Bezine, G
Millet, B
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1999, 23 (07) : 549 - 554

← 1 2 3 4 5 →