Abstract

This paper presents a description of the point collocation method and its application to the electromagnetic field computation. The interpolation scheme is based on the fast moving least square reproducing kernel approximation. In the method, the integration cell is not required and the essential boundary conditions can be enforced directly. Numerical simulations on 1-D and 2-D problems are carried out to validate the method. It is found that computational efficiency is higher than the general mesh-free methods.

주제어

#mesh-free method   #moving least square   #point collocation method  

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참고문헌 (5)

1. V. Cingoski, N.Miyamoto, K.Kaneda, H.Yamashita, ‘Element-free Galerkin method for electromagnetic field computation, ‘ COMPUMAG, Rio de Janeiro, 209-210, November 1997 
2. S. A. Viana and R.C. Mesquita, ‘Moving least square reproducing kernel method for electromagnetic field computation, ‘ IEEE Trans., Magn., Vol. 35, No.3, pp.1372-1375, May 1999 
3. D.W. Kim and Y.S. Kim, ‘Point collocation methods using the fast moving least square reproducing kernel approximation, ‘ Int. J. Numer. Meth. Engng., pp.1- 38,2001 
4. S.L. Ho, S.Yang, J.M. Machado and H.C. Wong, ‘Application of a meshless method in electromagnetics, ‘ IEEE Trans., Magn., Vol.37, No.5, pp.3198-3202, September 2001 
5. C. Herault and Y. Marechal, ‘Boundary and interface conditions in meshless methods, ‘ IEEE Trans., Magn., Vol. 35, No.3, pp.1450-1453, May 1999 

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