A preconditioned GMRES for complex dense linear systems from electromagnetic wave scattering problems

摘要: We consider the numerical solution of linear systems arising from discretization electric field integral equation (EFIE). For some geometries associated matrix can be poorly conditioned making use a preconditioner mandatory to obtain convergence. The electromagnetic scattering problem is here solved by means preconditioned GMRES in context multilevel fast multipole method (MLFMM). novelty this work construction an approximate hierarchically semiseparable (HSS) representation near-field matrix, part capturing interactions among nearby groups MLFMM, as for iterations. As experience shows, efficiency ILU preconditioning such essentially depends on sufficient fill-in, which apparently sacrifices sparsity matrix. In light we propose and its corresponding HSS hierarchical order substantially reduce number iterations resulting system equations.