  In this contribution, we provide convergence rates for a finite volume scheme
of the stochastic heat equation with multiplicative Lipschitz noise and
homogeneous Neumann boundary conditions (SHE). More precisely, we give an error
estimate for the $L^2$-norm of the space-time discretization of SHE by a
semi-implicit Euler scheme with respect to time and a TPFA scheme with respect
to space and the variational solution of SHE. The only regularity assumptions
additionally needed is spatial regularity of the initial datum and smoothness
of the diffusive term.
