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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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First-order least-squares method of a distributed optimal control
problem for the incompressible Stokes equations is considered. An
optimality system for the optimal solution are reformulated to the
equivalent first-order system by introducing the vorticity and then
the least-squares functional corresponding to the system is defined
in terms of the sum of the squared H^{-1} and L^2 norms of the
residual equations of the system. Finite element approximations are
studied and optimal error estimates are obtained. Resulting linear
system of the optimality system is symmetric and positive definite.
The V-cycle multigrid method is applied to the system to test
computational efficiency.
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참고문헌 (24)
참고문헌 신청
C. Chang / 1987 / A finite element method for first order elliptic systems in three dimensions / Appl. Math. Comput. 23 (2) : 171 ~ 184
H. K. Baek / / A Multigrid method for an optimal control problem of a diffusion-convection equation
J. H. Bramble / 1996 / Least-squares methods for Stokes equations based on a discrete minus one inner product / J. Comput. Appl. Math. 74 (1) : 155 ~ 173
J. H. Bramble / 1997 / A least-squares approach based on a discrete minus one inner product for first order systems / Math. Comp. 66 (219) : 935 ~ 955
J.-W. He / 20
H. K. Baek / / A Multigrid method for an optimal control problem of a diffusion-convection equation
J. H. Bramble / 1996 / Least-squares methods for Stokes equations based on a discrete minus one inner product / J. Comput. Appl. Math. 74 (1) : 155 ~ 173
J. H. Bramble / 1997 / A least-squares approach based on a discrete minus one inner product for first order systems / Math. Comp. 66 (219) : 935 ~ 955
J.-W. He / 20
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