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math.NA2025
Numerical analysis of the stochastic Navier-Stokes equations
Dominic Breit, Andreas Prohl, Jörn Wichmann
The developments over the last five decades concerning numerical discretisations of the incompressible Navier--Stokes equations have lead to reliable tools for their approximation:…
math.NA2025
Error Analysis for the -Stokes Equations with Slip Boundary Conditions: A Discrete Leray Projection Framework
Alex Kaltenbach, Jörn Wichmann
We present an error analysis for the kinematic pressure in a fully-discrete finite-differences/-elements discretization of the unsteady -Stokes equations, mo…
math.NA2023
Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise
Dominic Breit, Thamsanqa Castern Moyo, Andreas Prohl +1
We study the 2D Navier-Stokes equation with transport noise subject to periodic boundary conditions. Our main result is an error estimate for the time-discretisation showing a conv…