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Bull. Korean Math. Soc. 2014; 51(3): 847-862
Printed May 31, 2014
https://doi.org/10.4134/BKMS.2014.51.3.847
Copyright © The Korean Mathematical Society.
Finite element approximations of the optimal control problems for stochastic Stokes equations
Youngmi Choi, Soohyun Kim, and Hyung-Chun Lee
Anyang University, Ajou University, Ajou University
Finite element approximation solutions of the optimal control problems for stochastic Stokes equations with the forcing term perturbed by white noise are considered. Error estimates are established for the fully coupled optimality system using Brezzi-Rappaz-Raviart theory. Numerical examples are also presented to examine our theoretical results.
Keywords: stochastic Stokes equations, optimal control, white noise
MSC numbers: 49A22, 49B22, 65N30
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