  We consider the Dirichlet Laplacian $\mathcal{A}_\varepsilon=-\Delta$ in the
domain $\Omega\setminus\bigcup_i K_{i\varepsilon}\subset\mathbb{R}^n$ with
holes $K_{i\varepsilon}$ and the Schr\"{o}dinger operator
$\mathcal{A}=-\Delta+V$ in $\Omega$ where $V$ is the $L^n(\Omega)$ limit of the
density of the capacities $\operatorname{cap}(K_{i\varepsilon}).$ Strong
resolvent convergence for many $V\in W^{-1,\infty}(\Omega)$ was studied by the
author. In this paper, we study about convergence rate for
$\mathcal{A}_\varepsilon\to\mathcal{A}$ in norm resolvent sense. The case for
which $V$ is a constant is studied by Andrii Khrabustovskyi and Olaf Post.
