Title :
Scattering From Two-Dimensional Objects of Varying Shape Combining the Multilevel Fast Multipole Method (MLFMM) With the Stochastic Galerkin Method (SGM)
Author :
Zubac, Zdravko ; De Zutter, Daniel ; Vande Ginste, Dries
Author_Institution :
Dept. of Inf. Technol., Ghent Univ., Ghent, Belgium
Abstract :
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.
Keywords :
Galerkin method; electromagnetic waves; method of moments; stochastic processes; MLFMM; MoM; PCE approach; SGM; method of moments; multilevel fast multipole method; polynomial chaos expansion; stochastic Galerkin method; stochastic variations; Method of moments; Polynomials; Random variables; Scattering; Standards; Stochastic processes; Strips; Method of moments (MoM); Multilevel Fast Multipole Method (MLFMM); Stochastic Galerkin Method (SGM); scattering;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2014.2333567