Title   name
2007년 KSIAM 봄 학술대회
  Speaker   Ryu, Soorok  
  Date 2007-05-25
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
Abstract : We consider the approximate solution of optimal control problem governed by the Stokes equations.For the constrained optimization problem, Lagrange multiplier method is used. We employa least-squares functional developed in [3] for the two- and three-dimensional first orderoptimality systems, by introducing a velocity flux variable and associated curl and trace equations.With the provided H2-regularity of that system, ellipticity in an H1 product norm is established.This yields optimal discretization error estimates for finite element spaces in a productH1 norm. The resulting matrix becomes symmetric and positive definite. For numerical tests,we apply V-cycle multigrid methods to the total discrete algebraic system.