Finite element approximations for a linear fourth-order parabolic SPDE in two and three space dimensions with additive space-time white noise
type: Item
instance of: scholarly article
title: Finite element approximations for a linear fourth-order parabolic SPDE in two and three space dimensions with additive space-time white noise
zbMATH Open document ID: 1271.65016
author: Georgios E. Zouraris
author: Georgios T. Kossioris
published in: Applied Numerical Mathematics
publication date: 2013-04-18T00:00:00Z
review text: A linear fourth-order parabolic equation with space-time white noise is considered in 2 or 3 space dimensions. The equation is regularized by a discrete approximate form of the space-time noise, which brings in a modeling error, and then the Galerkin finite element method discretization in space and the backward Euler method discretization in time are used. The main results of this paper are some priori estimates of these two errors.
reviewed by: Gong Guanglu
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H40
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6155402
zbMATH Keywords: finite element method
zbMATH Keywords: space-time white noise
zbMATH Keywords: backward Euler time-stepping
zbMATH Keywords: fully-discrete approximation
zbMATH Keywords: a priori error estimation
zbMATH Keywords: fourth-order parabolic equation
zbMATH Keywords: two and three space dimensions
zbMATH Keywords: Galerkin finite element method
MaRDI profile type: Publication
full work available at URL: j.apnum.2012.01.003
OpenAlex ID: W1998633397
DOI: 10.1016/J.APNUM.2012.01.003
description: scientific article; zbMATH DE number 6155402