Tuesday, August 23, 2022 - 09:45 in V2-210/216
An averaged space-time discretization of the stochastic $p$-Laplace system
A talk in the BI.discrete Workshop series by
Jörn Wichmann from Bielefeld
| Abstract: |
An averaged space-time discretization of the stochastic $p$-Laplace system}{%
In this talk we discuss the stochastic $p$-Laplace system. In general non-linear as well as stochastic equations have limited regularization properties. Thus, the solution does not enjoy arbitrary high regularity. This leads to difficulties in the numerical approximation. We propose a new numerical scheme based on the approximation of time averaged values of the (unknown) solution. Additionally, we provide a sampling algorithm to approximate the stochastic input. We verify optimal convergence of rate $1/2$ in time and $1$ in space.
This is a joint work with Lars Diening and Martina Hofmanová.
Within the CRC this talk is associated to the project(s): B7 |
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