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Incorporating the multilevel fast multipole method into the characteristic basis function method to solve large scattering and radiation problems

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5 Author(s)
Garcia, E. ; Univ. of Alcala, Alcala de Henares ; Delgado, C. ; de Adana, F.S. ; Catedra, F.
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This communication focuses on the problem of reducing the computational cost of generating the reduced matrix in the context of CBFM for very large scatterers using two different approaches: (i) MLFMM to compute the far-field interactions between distant functions; and (ii) stabilized bi-conjugated gradient method (BiCGM) to solve the reduced matrix equation iteratively. Additionally, the CBFM is combined with a geometrical description of the objects using non-uniform rational B-splines (NURBS) defined over a parametric domain, which is well suited for setting up an adaptive mesh without the need of external software tools (C. Delgado et al., 2006). A class of rooftop functions-located on the parametric domain-together with razor-blades serve as the low-level basis and testing functions, respectively, employed to construct the CBFs and subsequently used to generate the reduced matrix.

Published in:

Antennas and Propagation Society International Symposium, 2007 IEEE

Date of Conference:

9-15 June 2007