# Numerical analysis of 2D Navier-Stokes equations with additive stochastic forcing

@article{Breit2021NumericalAO, title={Numerical analysis of 2D Navier-Stokes equations with additive stochastic forcing}, author={Dominic Breit and Andreas Prohl}, journal={ArXiv}, year={2021}, volume={abs/2110.05894} }

We propose and study a temporal, and spatio-temporal discretisation of the 2D stochastic Navier–Stokes equations in bounded domains supplemented with no-slip boundary conditions. Considering additive noise, we base its construction on the related nonlinear random PDE, which is solved by a transform of the solution of the stochastic Navier–Stokes equations. We show strong rate (up to) 1 in probability for a corresponding discretisation in space and time (and space-time). Convergence of order (up…

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