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Comparison of natural and finite element interpolation functions behavior
Author(s) -
Gonçalves B.M.F.,
Afonso M.M.,
Coppoli E.H.R.,
Ramdane B.,
Marechal Y.,
Vollaire C.,
Krähenbühl L.
Publication year - 2017
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2230
Subject(s) - finite element method , interpolation (computer graphics) , discretization , stiffness matrix , mathematics , mixed finite element method , element (criminal law) , extended finite element method , mathematical optimization , mathematical analysis , computer science , structural engineering , engineering , artificial intelligence , motion (physics) , law , political science
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 Voronoï 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.