Title :
The Nonconforming Point Interpolation Method Applied to Electromagnetic Problems
Author :
Lima, Naísses Z. ; Mesquita, Renato C. ; Facco, Werley G. ; Moura, Alex S. ; Silva, Elson J.
Author_Institution :
Grad. Program in Electr. Eng., Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil
Abstract :
Nonconforming point interpolation method (NPIM) is a meshless method that has been applied to problems in mechanics in the last years. In this paper, we investigate NPIM in electromagnetism. We present its formulation and shape functions, which are generated by the radial point interpolation method with polynomial terms. The numerical results are compared to the ones obtained by the finite flement method (FEM) and the element-free Galerkin method (EFG).
Keywords :
computational electromagnetics; interpolation; polynomials; electromagnetic problem; electromagnetism; meshless method; nonconforming point interpolation method; polynomial term; radial point interpolation method; shape function; Boundary conditions; Finite element methods; Interpolation; Magnetic domains; Magnetostatics; Shape; Element-free Galerkin (EFG); finite element method; meshless; point interpolation method;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2011.2175376