The finite element method of a euler scheme for stochastic Navier-Stokes equations involving the turbulent component

Yuanyuan Duan; Xiaoyuan Yang

The finite element method of a euler scheme for stochastic Navier-Stokes equations involving the turbulent component

Yuanyuan Duan
, Xiaoyuan Yang

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

In this paper we study the finite element approximation for stochastic Navier-Stokes equations including a turbulent part. The discretization for space is derived by finite element method, and we use the backward Euler scheme in time discretization. We apply the generalized L₂-projection operator to approximate the noise term. Under suitable assumptions, strong convergence error estimations with respect to the fully discrete scheme are well proved.

源语言	英语
页（从-至）	727-744
页数	18
期刊	International Journal of Numerical Analysis and Modeling
卷	10
期	3
出版状态	已出版 - 2013

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引用此

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title = "The finite element method of a euler scheme for stochastic Navier-Stokes equations involving the turbulent component",

abstract = "In this paper we study the finite element approximation for stochastic Navier-Stokes equations including a turbulent part. The discretization for space is derived by finite element method, and we use the backward Euler scheme in time discretization. We apply the generalized L2-projection operator to approximate the noise term. Under suitable assumptions, strong convergence error estimations with respect to the fully discrete scheme are well proved.",

keywords = "And error estimation, Discrete scheme, Finite element method, Stochastic Navier-Stokes equations",

author = "Yuanyuan Duan and Xiaoyuan Yang",

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T1 - The finite element method of a euler scheme for stochastic Navier-Stokes equations involving the turbulent component

AU - Duan, Yuanyuan

AU - Yang, Xiaoyuan

PY - 2013

Y1 - 2013

N2 - In this paper we study the finite element approximation for stochastic Navier-Stokes equations including a turbulent part. The discretization for space is derived by finite element method, and we use the backward Euler scheme in time discretization. We apply the generalized L2-projection operator to approximate the noise term. Under suitable assumptions, strong convergence error estimations with respect to the fully discrete scheme are well proved.

AB - In this paper we study the finite element approximation for stochastic Navier-Stokes equations including a turbulent part. The discretization for space is derived by finite element method, and we use the backward Euler scheme in time discretization. We apply the generalized L2-projection operator to approximate the noise term. Under suitable assumptions, strong convergence error estimations with respect to the fully discrete scheme are well proved.

KW - And error estimation

KW - Discrete scheme

KW - Finite element method

KW - Stochastic Navier-Stokes equations

UR - https://www.scopus.com/pages/publications/84878792211

M3 - 文章

AN - SCOPUS:84878792211

SN - 1705-5105

VL - 10

SP - 727

EP - 744

JO - International Journal of Numerical Analysis and Modeling

JF - International Journal of Numerical Analysis and Modeling

IS - 3

ER -

The finite element method of a euler scheme for stochastic Navier-Stokes equations involving the turbulent component

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