SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2218-2236, January 2021.
We consider systems of stochastic evolutionary equations of p-Laplace type. We establish convergence rates for a finite-element-based space-time approximation, where the error is measured in a suitable quasi-norm. Under natural regularity assumptions on the solution, our main result provides linear convergence in space and convergence of order (almost) 1/2 in time. The key ingredient of our analysis is a random time-grid, which allows us to compensate for the lack of time regularity. Our theoretical results are confirmed by numerical experiments.

中文翻译：

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随机$p$-拉普拉斯型系统的时空逼近

SIAM 数值分析杂志，第 59 卷，第 4 期，第 2218-2236 页，2021 年 1 月。
我们考虑 p-拉普拉斯型随机演化方程组。我们为基于有限元的时空近似建立收敛率，其中误差以合适的准范数测量。在解的自然规律性假设下，我们的主要结果提供空间线性收敛和时间收敛（几乎）1/2 阶。我们分析的关键要素是随机时间网格，它使我们能够弥补时间规律性的不足。我们的理论结果得到了数值实验的证实。