Finite-element-based discretizations of the incompressible Navier-Stokes equations with multiplicative random forcing

被引：55
|
作者：
Brzezniak, Zdzislaw [1 ]
Carelli, Erich [2 ]
Prohl, Andreas [2 ]
机构：
[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
[2] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2013年 / 33卷 / 03期
关键词：
Stochastic Navier-Stokes; finite elements; implicit Euler method; non-Lipschitz drift; multiplicative noise approximation of martingale solutions; CONVERGENCE; SCHEME;
D O I：
10.1093/imanum/drs032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study finite-element-based space-time discretizations of the incompressible Navier-Stokes equations with noise. In three dimensions, sequences of numerical solutions construct weak martingale solutions for vanishing discretization parameters. In the two-dimensional case, numerical solutions converge to the unique strong solution.
引用
收藏
页码：771 / 824
页数：54
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