Application of Reproducing Kernel Particle Methods in electromagnetics Original Research Article

Motivated by the success of the Reproducing Kernal Particle Methods (RKPM) for solving the Helmholtz equation, RKPM is used as the interpolating basis functions for solving three-dimensional electromagnetics problems. The electromagnetics problem is the vector form of the wave equation. Treatment of the divergenceless condition is discussed as well as accurate treatment of the boundary conditions. A simple shorted cylindrical waveguide is solved under TE11 excitation. The accuracy of the RKPM is demonstrated for the three-dimensional problem.