Title :
Application of a meshless method in electromagnetics
Author :
Ho, S.L. ; Yang, S. ; Machado, J.M. ; Wong, H.C.
Author_Institution :
Dept. of Electr. Eng., Hong Kong Polytech. Univ., China
fDate :
9/1/2001 12:00:00 AM
Abstract :
An improved meshless method is presented, with an emphasis on the detailed description of this new computational technique and its numerical implementations, by investigating the usefulness of a commonly neglected parameter. Two approaches to enforce essential boundary conditions are also thoroughly investigated. Numerical tests on a mathematical function are carried out as a means of validating the proposed method. It is seen that the proposed method is more robust than the conventional ones. Applications in solving electromagnetic problems are also presented
Keywords :
Galerkin method; boundary-value problems; computational complexity; electric fields; electrical engineering computing; integro-differential equations; interpolation; least squares approximations; magnetic fields; variational techniques; CPU time; Lagrange multiplier method; computational electromagnetics; discretisation; electromagnetic problems; electrostatics; essential boundary conditions; improved meshless method; interpolation; magnetostatics; moving LSA; numerical implementation; variational principle; weak form functional; Boundary conditions; Deformable models; Electrical engineering; Electromagnetics; Least squares approximation; Least squares methods; Multilevel systems; Robustness; Solid modeling; Testing;
Journal_Title :
Magnetics, IEEE Transactions on