SAYAS NUMERICS SEMINAR     Register to attend talk
Dec. 1, 2020 at 3:30pm (Eastern Time)

Numerical methods for stochastic Navier-Stokes equations

Andreas Prohl
Universität Tübingen

The error analysis for (LBB-stable) space-time discretizations of the incompressible (Navier-)Stokes equations is well-understood, and rests on available bounds for the involved pressure gradient, in particular. The situation is conceptually different for the stochastic analogue, where a non-differentiable Wiener process appears that prevents corresponding bounds for the pressure. In the talk, I present different mixed methods which cope with the problematic issue caused by the pressure, and discuss their optimal convergence behavior.

The talk is based on joint work with E. Carelli (Tuebingen), E. Hausenblas (Leoben, Austria), as well as M. Ondrejat (Prague, Czech Republic), N. Walkington (Pittsburgh), as well as X. Feng, L. Vo (both Knoxville).