A posteriori analysis of finite element discretizations of stochastic partial differential delay equations

Xiaoyuan Yang; Ruisheng Qi; Yuanyuan Duan

doi:10.1080/10236198.2011.586344

A posteriori analysis of finite element discretizations of stochastic partial differential delay equations

Xiaoyuan Yang^*
, Ruisheng Qi
, Yuanyuan Duan

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we study a posteriori error estimates for finite element approximation of stochastic partial differential delay equations containing a noise. We derive an energy norm a posteriori bounds for an Euler time-stepping method combined with a standard Galerkin schemes for the problems. For accessibility, we first address the spatially semidiscrete case and then move to the fully discrete scheme.

源语言	英语
页（从-至）	1649-1663
页数	15
期刊	Journal of Difference Equations and Applications
卷	18
期	10
DOI	https://doi.org/10.1080/10236198.2011.586344
出版状态	已出版 - 10月 2012

访问文件

10.1080/10236198.2011.586344

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{c4e771e9821247b98f1eded7f30cb491,

title = "A posteriori analysis of finite element discretizations of stochastic partial differential delay equations",

abstract = "In this paper, we study a posteriori error estimates for finite element approximation of stochastic partial differential delay equations containing a noise. We derive an energy norm a posteriori bounds for an Euler time-stepping method combined with a standard Galerkin schemes for the problems. For accessibility, we first address the spatially semidiscrete case and then move to the fully discrete scheme.",

keywords = "finite element method, posteriori error estimates, quasi-norm",

author = "Xiaoyuan Yang and Ruisheng Qi and Yuanyuan Duan",

year = "2012",

month = oct,

doi = "10.1080/10236198.2011.586344",

language = "英语",

volume = "18",

pages = "1649--1663",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

publisher = "Taylor and Francis Ltd.",

number = "10",

}

TY - JOUR

T1 - A posteriori analysis of finite element discretizations of stochastic partial differential delay equations

AU - Yang, Xiaoyuan

AU - Qi, Ruisheng

AU - Duan, Yuanyuan

PY - 2012/10

Y1 - 2012/10

N2 - In this paper, we study a posteriori error estimates for finite element approximation of stochastic partial differential delay equations containing a noise. We derive an energy norm a posteriori bounds for an Euler time-stepping method combined with a standard Galerkin schemes for the problems. For accessibility, we first address the spatially semidiscrete case and then move to the fully discrete scheme.

AB - In this paper, we study a posteriori error estimates for finite element approximation of stochastic partial differential delay equations containing a noise. We derive an energy norm a posteriori bounds for an Euler time-stepping method combined with a standard Galerkin schemes for the problems. For accessibility, we first address the spatially semidiscrete case and then move to the fully discrete scheme.

KW - finite element method

KW - posteriori error estimates

KW - quasi-norm

UR - https://www.scopus.com/pages/publications/84866880482

U2 - 10.1080/10236198.2011.586344

DO - 10.1080/10236198.2011.586344

M3 - 文章

AN - SCOPUS:84866880482

SN - 1023-6198

VL - 18

SP - 1649

EP - 1663

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 10

ER -

A posteriori analysis of finite element discretizations of stochastic partial differential delay equations

摘要

访问文件

其它文件与链接

指纹

引用此