**Authors:** C. Craeye, J. Laviada, R. Maaskant, and R. Mittra

**Source:** FERMAT, Volume 3, Article 1, May_Jun, 2014

**Abstract:** The Macro Basis Functions (MBFs) approach is a
form of domain-decomposition method applied to radiation and
scattering problems solved by using integral-equation techniques.
It enables a systematic reduction of the number of degrees of
freedom, from that imposed by the discretization of the surfaces
to that associated with the physical limits of field distributions.
This paper reviews different variants of this approach, including
the techniques for determining the MBFs and for fast calculation
of their interactions. The link with Krylov-subspace iterative
methods is described, the relationship between the surface of
subdomains and the number of physical degrees of freedom is
discussed and multi-level schemes are revisited. Finally, avenues
for further research are outlined in the Conclusions section of
this paper.

**Index Terms:** macro basis functions, integral equations,
method of moments, characteristic basis functions, synthetic
functions

**View PDF**