  This paper is concerned with Dirichlet problem $u(0,t)=0$,
$\theta(0,t)=\theta_-$ for one-dimensional full compressible Navier-Stokes
equations in the half space $\R_+=(0,+\infty)$. Because the boundary decay rate
is hard to control, stability of contact discontinuity result is very
difficult. In this paper, we raise the decay rate and establish that for a
certain class of large perturbation, the asymptotic stability result is contact
discontinuity. Also, we ask the strength of contact discontinuity not small.
The proofs are given by the elementary energy method.
