Mixed basis function for radial point interpolation meshless method in electromagnetics

Abstract

In this study, an efficient meshless method named mixed radial point interpolation meshless method supplemented by a new (mixed) basis function is proposed. The proposed basis function is the multiplication of two conventional basis functions and possesses some extraordinary properties in comparison with conventional ones. In order to investigate the improvements of this basis function, an important type of electromagnetic problems, i.e. parallel plate waveguide with an internal discontinuity is analyzed. It is seen that the mixed basis function possesses better precision and convergence rate with respect to other basis functions.

Keywords:

• meshless method
• basis function
• shape parameters
• parallel plate waveguide

Acknowledgements

In accomplishing this paper, the authors gratefully acknowledge Prof Holger Wendland, from the Institute of Mathematics, University of Oxford, for his instructions and steerage in area of using suitable constrains for mixed shape functions.

Disclosure statement

No potential conflict of interest was reported by the author.