Friday, December 6, 2024 - 10:00 in Zoom
Numerical approximation of the 2D stochastic Navier--Stokes equations: periodic case
A talk in the BI.discrete series by
Dominic Breit from TU Clausthal
| Abstract: |
We study stochastic Navier–Stokes equations in two dimensions with respect to periodic boundary conditions. The equations are perturbed by a nonlinear multiplicative
stochastic forcing with linear growth (in the velocity) driven by a cylindrical Wiener
process. We establish convergence rates for a finite-element based space-time approximation
with respect to convergence in probability (where the error is measured in the energy norm). Our main result provides linear convergence in space and
convergence of order (almost) 1/2 in time. Our approach is based on a careful analysis of the pressure function using a stochastic pressure decomposition.
Zoom Meeting ID: [926 5310 0938]
Passcode: [1928]
$\href{https://uni-bielefeld.zoom.us/j/92653100938?pwd=QjB6MS95RU9PMXJWcXZpcjV0OG5NZz09}{\textbf{Join Zoom Meeting}}$
Within the CRC this talk is associated to the project(s): B7 |
Back
