Kossioris, Georgios and Zouraris, Georgios (2013) Finite Element Approximations for a linear CahnHilliardCook equation driven by the space derivative of a spacetime white noise. Discrete and Continuous Dynamical Systems  Series B, American Institute of Mathematical Sciences, 18 (7). pp. 18451872. ISSN 15313492
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Abstract
We consider an initial and Dirichlet boundary value problem for a linear CahnHilliardCook equation, in one space dimension, forced by the space derivative of a spacetime white noise. First, we propose an approximate regularized stochastic parabolic problem discretizing the noise using linear splines. Then fullydiscrete approximations to the solution of the regularized problem are constructed using, for the discretization in space, a Galerkin finite element method based on $H^2$piecewise polynomials, and, for timestepping, the Backward Euler method. Finally, we derive strong a priori estimates for the modeling error and for the numerical approximation error to the solution of the regularized problem.
Item Type:  Article 

Subjects:  Q Science > QA Mathematics 
Depositing User:  Dr Georgios Zouraris 
Date Deposited:  09 Dec 2013 11:58 
Last Modified:  14 May 2018 11:09 
URI:  http://preprints.acmac.uoc.gr/id/eprint/250 
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Finite Element Approximations
for a linear CahnHilliardCook equation
driven by the space derivative of a spacetime white noise. (deposited 20 May 2012 07:00)
 Finite Element Approximations for a linear CahnHilliardCook equation driven by the space derivative of a spacetime white noise. (deposited 09 Dec 2013 11:58) [Currently Displayed]
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