  We study dimension reduction for the three-dimensional Gross-Pitaevskii
equation with a long-range and anisotropic dipole-dipole interaction modeling
dipolar Bose-Einstein condensation in a strong interaction regime. The cases of
disk shaped condensates (confinement from dimension three to dimension two) and
cigar shaped condensates (confinement to dimension one) are analyzed. In both
cases, the analysis combines averaging tools and semiclassical techniques.
Asymptotic models are derived, with rates of convergence in terms of two small
dimensionless parameters characterizing the strength of the confinement and the
strength of the interaction between atoms.
