SPACE-TIME APPROXIMATION OF STOCHASTIC p-LAPLACE-TYPE SYSTEMS

被引：6
作者：
Breit, Dominic [1 ]
Hofmanova, Martina [2 ]
Loisel, Sebastien [1 ]
机构：
[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland
[2] Univ Bielefeld, D-33501 Bielefeld, Germany
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2021年 / 59卷 / 04期
关键词：
parabolic stochastic PDEs; nonlinear Laplace-type systems; finite element methods; space-time discretization; FINITE-ELEMENT APPROXIMATION; GALERKIN APPROXIMATION; REGULARITY; CONVERGENCE; DISCRETIZATION; EXISTENCE; EQUATIONS; GRADIENT; DRIVEN; SCHEME;
D O I：
10.1137/20M1334310
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：2218 / 2236
页数：19
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