An effective multigrid preconditioned CG algorithm for millimeter wave scattering by an infinite plane metallic grating

An effective multigrid based preconditioned conjugate gradient method is de veloped to solve electromagnetic large matrix problem for millimeter wave s cattering application. By using multigrid technique we restrict the large m atrix equation to a relative smaller matrix and which can be solved rapidly . The solution is prolonged as the initial guess for the conjugate gradient (CG) method. Numerical results show that our developed method can reach fi ve times improvement of computational complexity.