Complex coefficients domain decomposition method for heterogeneous medium time-harmonic problem

In this paper, a complex coefficients domain decomposition meshless method for solving heterogeneous medium time-harmonic eddy problem is presented. This novel approach extends the meshless technique from the real number field to the complex number field. Because of the electromagnetic field problems involving many different mediums, the coupling of a domain decomposition method (DDM) is used. According to the different meanings of real part and imaginary part in the complex of the harmonic field calculation, we select different scales of radial basis functions (RBF) and discussed the multiquadric (MQ) RBF collocation detailedly. The simulation example shows the validity and accuracy of the proposed method.