Title :
A Meshless Local Petrov–Galerkin Method for Three-Dimensional Scalar Problems
Author :
Nicomedes, Williams L. ; Mesquita, Renato C. ; Moreira, Fernando J S
Author_Institution :
Dept. of Electron. Eng., Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil
fDate :
5/1/2011 12:00:00 AM
Abstract :
In this paper, we apply a meshless method based on local boundary integral equations (LBIEs) to solve electromagnetic problems. The discretization process is carried out through the use of special basis functions that, unlike the Finite Element Method, are not confined to an element and do not require the support of an underlying mesh. The approach herein developed can be applied to general three-dimensional scalar boundary value problems arising in electromagnetism.
Keywords :
Galerkin method; boundary integral equations; boundary-value problems; computational electromagnetics; electromagnetic field theory; least squares approximations; 3D scalar problems; discretization process; electromagnetic problems; electromagnetism; general 3D scalar boundary value problems; local boundary integral equations; meshless local Petrov-Galerkin method; special basis functions; Electric potential; Electrostatics; Finite element methods; Integral equations; Least squares approximation; Shape; Electromagnetic field computation; local boundary integral equations (LBIEs); moving least squares;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2096203
