An averaged space-time discretization of the stochastic p-Laplace system

04/19/2022

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by   Lars Diening, et al.

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We study the stochastic p-Laplace system in a bounded domain. We propose two new space-time discretizations based on the approximation of time-averaged values. We establish linear convergence in space and 1/2 convergence in time. Additionally, we provide a sampling algorithm to construct the necessary random input in an efficient way. The theoretical error analysis is complemented by numerical experiments.