Jl. Volakis et al., A CLASS OF HYBRID FINITE-ELEMENT METHODS FOR ELECTROMAGNETICS - A REVIEW, Journal of electromagnetic waves and applications, 8(9-10), 1994, pp. 1095-1124
Integral equation methods have generally been the workhorse for antenn
a and scattering computations. In the case of antennas, they continue
to be the prominent computational approach, but for scattering applica
tions the requirement for large-scale computations has turned research
ers' attention to near neighbor methods such as the finite element met
hod, which has low O(N) storage requirements and is readily adaptable
in modeling complex geometrical features and material inhomogeneities.
In this paper, we review three hybrid finite element methods for simu
lating composite scatterers, conformal microstrip antennas and finite
periodic arrays. Specifically, we discuss the finite element method an
d its application to electromagnetic problems when combined with the b
oundary integral, absorbing boundary conditions and artificial absorbe
rs for terminating the mesh. Particular attention is given to large-sc
ale simulations, methods and solvers for achieving low memory requirem
ents and code performance on parallel computing architectures.