Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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FINITE ELEMENT APPROXIMATIONS OF THE OPTIMAL CONTROL PROBLEMS FOR STOCHASTIC STOKES EQUATIONS

  • Choi, Youngmi (College of Liberal Arts Anyang University) ;
  • Kim, Soohyun (Department of Mathematics Ajou University) ;
  • Lee, Hyung-Chun (Department of Mathematics Ajou University)
  • Received : 2013.05.12
  • Published : 2014.05.31

Abstract

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

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