  Let $R$ be a commutative noetherian ring. Enochs and Huang [EH] proved that
over a Gorenstein ring of Krull dimension $d$, every Gorenstein injective
module admits a filtration of Gorenstein injective submodules. In this paper,
we extend this result for a ring admitting a dualizing complex. For a
Gorenstein injective $R$-module $G$, we provide a filtration via Auslander
categories and the other filtration via the section functors.
