  We prove that for a compact 3-manifold M with boundary admitting an ideal
triangulation T with valence at least 10 at all edges, there exists a unique
complete hyperbolic metric with totally geodesic boundary, so that T is
isotopic to a geometric decomposition of M. Our approach is to use a variant of
the combinatorial Ricci flow introduced by Luo [Luo05] for pseudo 3-manifolds.
In this case, we prove that the extended Ricci flow converges to the hyperbolic
metric exponentially fast.
