  We study the stochastic total variation flow (STVF) equation with linear
multiplicative noise. By considering a limit of a sequence of regularized
stochastic gradient flows with respect to a regularization parameter
$\varepsilon$ we obtain the existence of a unique variational solution of the
STVF equation which satisfies a stochastic variational inequality. We propose
an energy preserving fully discrete finite element approximation for the
regularized gradient flow equation and show that the numerical solution
converges to the solution of the unregularized STVF equation. We perform
numerical experiments to demonstrate the practicability of the proposed
numerical approximation.
  This paper contains a mistake: in the proof of Lemma 4.4 the last inequality
is not valid. Meanwhile, this mistake has been fixed in [6] for a slightly
modified numerical approximation in spatial dimension $d=1$. For $d\geq 1$ the
validity of the estimate in Lemma 4.4 is still open but the convergence of the
numerical approximation can be shown by a different approach, see [5].
