Domain-decomposition (DD) for Integral Equation can be achieved by aggregating standard basis functions into specialized basis functions on each sub-domain; this results in a strong compression of the MoM matrix, which allows an iteration-free (e.g. LU decomposition) solution also for electrically large problems. Fast matrix-vector product algorithms can be used in the matrix filling and compression process of the employed aggregate-functions approach. In this paper we propose and demonstrate the use of the Adaptive Integral Method (AIM) fast factorization to accelerate the Synthetic Function eXpansion (SFX) DD approach. The method remains iteration-free, with a significant boost in memory and time performances, with analytical predictions of complexity scalings confirmed by numerical results. At a more general level, the complexity scaling of both stand-alone DD and its combined use with fast MoM is addressed analytically and discussed with respect to known literature accounts of various implementations of the DD paradigm, with non-obvious results and practical indications. © 2012 IEEE.

Fast-factorization acceleration of MoM domain-decomposition: SFX-AIM and general / A. Freni;P. D. Vita;P. Pirinoli;L. Matekovits;G. Vecchi. - STAMPA. - (2012), pp. 276-277. (Intervento presentato al convegno 6th European Conference on Antennas and Propagation (EUCAP), 2012 tenutosi a Prague nel 26-30 March 2012) [10.1109/EuCAP.2012.6206097].

Fast-factorization acceleration of MoM domain-decomposition: SFX-AIM and general

FRENI, ANGELO;
2012

Abstract

Domain-decomposition (DD) for Integral Equation can be achieved by aggregating standard basis functions into specialized basis functions on each sub-domain; this results in a strong compression of the MoM matrix, which allows an iteration-free (e.g. LU decomposition) solution also for electrically large problems. Fast matrix-vector product algorithms can be used in the matrix filling and compression process of the employed aggregate-functions approach. In this paper we propose and demonstrate the use of the Adaptive Integral Method (AIM) fast factorization to accelerate the Synthetic Function eXpansion (SFX) DD approach. The method remains iteration-free, with a significant boost in memory and time performances, with analytical predictions of complexity scalings confirmed by numerical results. At a more general level, the complexity scaling of both stand-alone DD and its combined use with fast MoM is addressed analytically and discussed with respect to known literature accounts of various implementations of the DD paradigm, with non-obvious results and practical indications. © 2012 IEEE.
2012
6th European Conference on Antennas and Propagation (EUCAP), 2012
6th European Conference on Antennas and Propagation (EUCAP), 2012
Prague
26-30 March 2012
A. Freni;P. D. Vita;P. Pirinoli;L. Matekovits;G. Vecchi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/779396
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