Error analysis of finite element approximations of the stochastic Stokes equations

被引：10

作者：

Cao, Yanzhao ^{[2
]}

Chen, Zheng ^{[1
]}

Gunzburger, Max ^{[3
]}

机构：

[1] S New Orleans Univ, Dept Math, New Orleans, LA USA

[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

[3] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2010年 / 33卷 / 02期

关键词：

Stokes equations; White noise; Finite element methods; PARTIAL-DIFFERENTIAL-EQUATIONS; CHAOS;

D O I：

10.1007/s10444-009-9127-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical solutions of the stochastic Stokes equations driven by white noise perturbed forcing terms using finite element methods are considered. The discretization of the white noise and finite element approximation algorithms are studied. The rate of convergence of the finite element approximations is proved to be almost first order (h| 1n h|) in two dimensions and one half order (h(1/2)) in three dimensions. Numerical results using the algorithms developed are also presented.

引用

页码：215 / 230

页数：16

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