Error estimates of finite element methods for fractional stochastic Navier–Stokes equations

Based on the Itô’s isometry and the properties of the solution operator defined by the Mittag-Leffler function, this paper gives a detailed numerical analysis of the finite element method for fractional stochastic Navier–Stokes equations driven by white noise. The discretization in space is derived...

Descripción completa

Detalles Bibliográficos
Autores principales: Li, Xiaocui, Yang, Xiaoyuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208620/
https://www.ncbi.nlm.nih.gov/pubmed/30839715
http://dx.doi.org/10.1186/s13660-018-1880-y
_version_ 1783366736687398912
author Li, Xiaocui
Yang, Xiaoyuan
author_facet Li, Xiaocui
Yang, Xiaoyuan
author_sort Li, Xiaocui
collection PubMed
description Based on the Itô’s isometry and the properties of the solution operator defined by the Mittag-Leffler function, this paper gives a detailed numerical analysis of the finite element method for fractional stochastic Navier–Stokes equations driven by white noise. The discretization in space is derived by the finite element method and the time discretization is obtained by the backward Euler scheme. The noise is approximated by using the generalized [Formula: see text] -projection operator. Optimal strong convergence error estimates in the [Formula: see text] -norm are obtained.
format Online
Article
Text
id pubmed-6208620
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-62086202018-11-09 Error estimates of finite element methods for fractional stochastic Navier–Stokes equations Li, Xiaocui Yang, Xiaoyuan J Inequal Appl Research Based on the Itô’s isometry and the properties of the solution operator defined by the Mittag-Leffler function, this paper gives a detailed numerical analysis of the finite element method for fractional stochastic Navier–Stokes equations driven by white noise. The discretization in space is derived by the finite element method and the time discretization is obtained by the backward Euler scheme. The noise is approximated by using the generalized [Formula: see text] -projection operator. Optimal strong convergence error estimates in the [Formula: see text] -norm are obtained. Springer International Publishing 2018-10-19 2018 /pmc/articles/PMC6208620/ /pubmed/30839715 http://dx.doi.org/10.1186/s13660-018-1880-y Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Xiaocui
Yang, Xiaoyuan
Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
title Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
title_full Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
title_fullStr Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
title_full_unstemmed Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
title_short Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
title_sort error estimates of finite element methods for fractional stochastic navier–stokes equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208620/
https://www.ncbi.nlm.nih.gov/pubmed/30839715
http://dx.doi.org/10.1186/s13660-018-1880-y
work_keys_str_mv AT lixiaocui errorestimatesoffiniteelementmethodsforfractionalstochasticnavierstokesequations
AT yangxiaoyuan errorestimatesoffiniteelementmethodsforfractionalstochasticnavierstokesequations

Ejemplares similares