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

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	1649-1663
Number of pages	15
Journal	Journal of Difference Equations and Applications
Volume	18
Issue number	10
DOIs	https://doi.org/10.1080/10236198.2011.586344
State	Published - Oct 2012

Keywords

finite element method
posteriori error estimates
quasi-norm

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10.1080/10236198.2011.586344

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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",

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AU - Yang, Xiaoyuan

AU - Qi, Ruisheng

AU - Duan, Yuanyuan

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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

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