# Error analysis for 2D stochastic Navier-Stokes equations in bounded domains

@article{Breit2021ErrorAF, title={Error analysis for 2D stochastic Navier-Stokes equations in bounded domains}, author={Dominic Breit and Andreas Prohl}, journal={ArXiv}, year={2021}, volume={abs/2109.06495} }

Abstract. We study a finite-element based space-time discretisation for the 2D stochastic Navier–Stokes equations in a bounded domain supplemented with no-slip boundary conditions. We prove optimal convergence rates in the energy norm with respect to convergence in probability, that is convergence of order (almost) 1/2 in time and 1 in space. This was previously only known in the space-periodic case, where higher order energy estimates for any given (deterministic) time are available. In…

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