  The purpose of this paper is to establish Hyodo--Kato theory with compact
support for semistable schemes through rigid analytic methods. To this end we
introduce several types of log rigid cohomology with compact support. moreover
we show that additional structures on the (rigid) Hyodo--Kato cohomology and
the Hyodo--Kato map introduced in our previous paper are compatible with
Poincar\'{e} duality. Compared to the crystalline approach, the constructions
are explicit yet versatile, and hence suitable for computations.
