论文标题
随机$ p $ -laplace系统的平均时空离散化
An averaged space-time discretization of the stochastic $p$-Laplace system
论文作者
论文摘要
我们研究了一个有限域中的随机$ p $ laplace系统。我们基于时间平均值的近似值提出了两个新的时空离散化。我们在空间中建立线性融合，并在时间上融合$ 1/2 $。此外，我们还提供了一种采样算法来有效地构建必要的随机输入。理论误差分析与数值实验相辅相成。
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.
