A multiresolution (MR) basis is described for the method of moments (MoM) analysis of a generic 3-D conductor discretized with triangular cells. The MR basis functions are constructed as linear combination of Rao-Wilton-Glisson (RWG) basis functions, thus allowing direct applicability on existing MoM codes. With respect to previous work by the authors, the generation of the MR functions is significantly simplified, yet keeping similar applicability and performance, in terms of conditioning of the MoM matrix, convergence of the iterative solvers, and possibility of sparsifying the MoM matrix by clipping. Moreover, with the proposed basis the basis-change matrix from RWG to MR is highly sparse at all levels; this allows a more efficient generation of the MR-MoM matrix.

A multiresolution system of Rao-Wilton-Glisson functions / Vipiana, Francesca; Vecchi, Giuseppe; Pirinoli, Paola. - In: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. - ISSN 0018-926X. - 55:(2007), pp. 924-930. [10.1109/TAP.2007.891864]

A multiresolution system of Rao-Wilton-Glisson functions

VIPIANA, Francesca;VECCHI, Giuseppe;PIRINOLI, Paola
2007

Abstract

A multiresolution (MR) basis is described for the method of moments (MoM) analysis of a generic 3-D conductor discretized with triangular cells. The MR basis functions are constructed as linear combination of Rao-Wilton-Glisson (RWG) basis functions, thus allowing direct applicability on existing MoM codes. With respect to previous work by the authors, the generation of the MR functions is significantly simplified, yet keeping similar applicability and performance, in terms of conditioning of the MoM matrix, convergence of the iterative solvers, and possibility of sparsifying the MoM matrix by clipping. Moreover, with the proposed basis the basis-change matrix from RWG to MR is highly sparse at all levels; this allows a more efficient generation of the MR-MoM matrix.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1533961
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