Name
Title | ||
|---|---|---|
First-Order System Least-Squares Methods for an Optimal Control Problem by the Stokes Flow |
Abstract | ||
|---|---|---|
The least-squares approximations of an optimal control problem governed by the Stokes equations are considered, which leads to an unconstrained coupled optimization problem by the Lagrange multiplier method. The least-squares functionals for the two- and three-dimensional first-order coupled optimality systems are employed by modifying those functionals in [Z. Cai, T. A. Manteuffel, and S. F. McCormick, SIAM J. Numer. Anal., 34 (1997), pp. 1727-1741]. The established ellipticity and continuity in a product $H^1$ norm yield the optimal discretization error estimates in the finite element spaces. For numerical tests, we apply V-cycle multigrid methods to the whole discrete algebraic system. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/070701157 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
stokes equation,first-order system least-squares methods,s. f. mccormick,optimal control problem,stokes flow,lagrange multiplier method,least-squares functionals,optimal discretization error estimate,t. a,least-squares approximation,optimization problem,siam j. numer,optimal control | Least squares,Mathematical optimization,Algebraic number,Optimal control,Mathematical analysis,Lagrange multiplier,Finite element method,Optimization problem,Mathematics,Stokes flow,Multigrid method | Journal |
Volume | Issue | ISSN |
47 | 2 | 0036-1429 |
Citations | PageRank | References |
1 | 0.39 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Soorok Ryu | 1 | 2 | 1.09 |
| Hyung-Chun Lee | 2 | 57 | 10.52 |
| Sang Dong Kim | 3 | 35 | 9.22 |