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Scattering From Two-Dimensional Objects of Varying Shape Combining the Multilevel Fast Multipole Method (MLFMM) With the Stochastic Galerkin Method (SGM)

In this letter, the Multilevel Fast Multipole Method (MLFMM) is combined with the polynomial chaos expansion (PCE) approach to model the stochastic variations of a scatterer. In particular, it is demonstrated how the Stochastic Galerkin Method (SGM) can be combined with an MLFMM accelerated method of moments (MoM) and how the beneficial effects of the MLFMM for electromagnetically large scatterers are retained in the stochastic case.