Study On The Method Of Decentralized Integral Equation In The Frequency Domain Of Non - Continuous Galerkin

The method of moments is a numerical method with high precision and efficiency in the field of Computational Electromagnetic. The MOM needs to transform equation of continuity into discrete mathematical equation, which can be solved by effective algebraic method. In this process, conformal meshes are required for the discretization of target model. But for some complex models, the sharp parts of which need to be meshed densely. To remedy this problem, Discontinuous Galerkin (DG) method is proposed.In this paper, the principles and implementation of DG in Surface Integral Equation (SIE) are introduced firstly. Then it is discussed how to reduce the order of dual gradient Green function. The electromagnetic scattering characteristics of perfect conductor are analyzed by using DG method in SIE. In the fourth chapter, the basic principles and implementation methods of DG in coupled volume-surface integer equation (VSIE) are introduced and the electromagnetic scattering properties of homogeneous dielectric and mixed dielectric/conductor objects are computed.To solve the system of liner of equations which are generated by using DG method, the GMRES iterative method is used. However, there will have a problem of slowly convergence. To overcome the problem, the impedance matrix is preprocessed by using the sparse approximate inverse preconditioner (SAI), the convergence speed is so greatly accelerated and the computation time is reduced rapidly. And in this paper, the electromagnetic scattering characteristics of electrical-large targets are analyzed.