Proposing the Frequency Dependent Shape Functions for Meshless Method in Electromagnetics

نویسندگان

  • Arman Afsari
  • Masoud Movahhedi
  • Mojtaba Barkhordari Yazdi
چکیده

The root of this study, comes from the lack of regularity where exists in shape function selection in direct meshless methods. In this work, we are going to establish a technique which is based on both analytical and simulated results; helps select a well-behaved shape function for which the shape parameters have been predetermined. This work has been focused on wave equation as the most important equation in electromagnetics. Comparing the results with conventional meshless radial point interpolation method (CRPIM), finite element method (FEM) and the method of moments (MOM), the technique shows extremely good accuracy despite a great reduction in time consumption of selecting a shape function. Index Terms — Direct meshless methods, partition of unity, shape functions, Shepard’s weighting functions, wave equation.

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تاریخ انتشار 2012