We study state-constraint static Hamilton-Jacobi equations in a sequence of domains $\{ \Omega_k\}_{ k \in \mathbb{ N}}$ in $\mathbb{ R}^n$ such that $\Omega_k \subset \Omega_{ k+1}$ for all $k\in \mathbb{ N}$. We obtain rates of convergence of $u_k$, the solution to the state-constraint problem in $\Omega_k$, to $u$, the solution to the corresponding problem in $\Omega = \bigcup_{ k \in \mathbb{ N}} \Omega_k$. In many cases, the rates obtained are proven to be optimal. Various new examples and discussions are provided at the end of the paper.
Categories: math.AP