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We present a sparse preconditioner for efficient iterative solution of large dense linear systems that arise in radar cross section computations for a perfectly conducting scatterer using a high-order surface integral equation algorithm. The algorithm allows the linear systems to be assembled efficiently but overall efficiency of the method can only be achieved using iterative solvers with an appropriate preconditioner. We demonstrate the effectiveness and efficiency of our preconditioner for electromagnetic scattering linear systems with tens of thousands of unknowns arising in radar cross section computations for small to medium electromagnetic-sized scatterers.

Sparse preconditioners for dense complex linear systems arising in some radar cross section computations