Finite element approximation and computations of optimal Dirichlet boundary control problems for the Boussinesq equations

키워드

참고문헌 (32)

1. R. Adams, "Sobolev Spaces" (1975)
2. "Solvability of stationary boundary control problems for heat con-vection equations", 39(5), pp.844~858 (1998)
3. "Some optimal control problems of multistate equationsappearing in uid mechanics", 27 (1993)
4. "On Some Control Problems in Fluid Mechanics Survey lectures on the mathematical foundations of thenite element method in The Mathematical Foundations of the Finite ElementMethod with Applicaions to Partial Dierential Equations", pp.3359~
5. "J. Rappaz and P. A. RaviartFinite-dimensional approximation of non-linear problems. Part I branches of nonsingular solutions", pp.125~ (1980)
6. "The Finite Element Method for Elliptic Problems" (1978), North-Holland
7. P. Cuvelier, "Optimal Control of a System Governed by the Navier-Stokes EquationsCoupled with the Heat equations New Developments in Dierential Equations" (1976), North-Holland
8. "Optimal controls of Navier-Stokes equations" (1994)
9. "Properties of solutions to some extrimal problems related to theNavier-Stokes system" (1982)
10. "Local exact boundary controllability ofthe Boussinesq equation", 36(2), pp.391~421 (1998)
11. "Finite Element Methods for Navier-Stokes Equa-tions" (1986)
12. "Finite element methods for incompressible viscous ows"
13. "Treating inhomogenous essential boundary conditions in nite elementmethods", 29(2) (1992)
14. "Analysis and nite element approxi-mation of optimal control problems for the stationary Navier-Stokes equations withdistributed and Neumann controls" (1991)
15. "Analysis and nite element approx-imation of optimal control problems for the stationary Navier-Stokes equationswith Dirichlet controls" (1991)
16. "Boundary velocity control of incompressible ow with an application toviscous drag reduction", 30(1) (1992)
17. "The Velocity Tracking Problem for NavierStokes Flows With Boundary Control", 39(2) (2000)
18. "Analysis and Approximation of the Velocity Tracking Problem forNavierStokes Flows with Distributed Control", 37(5) (2000)
19. "The Velocity Tracking Problem for NavierStokes Flows with BoundedDistributed Controls", 37(6) (1999)
20. "Analysis and nite element approximation of some optimal control prob-lem associated with the Navier-Stokes equations" (1989), Carnegie MellonUniversity
21. "Dynomics and approximations of a velocity tracking prob-lem for the Navier-Stokes ows with piecewise distributed controls", 35(6), pp.1847~1885 (1997)
22. "Dynamics for controlled Navier-Stokes systems with distributed controls", 35(2), pp.654~677 (1997)
23. "Optimal control of thermally convected uid ows", 19(6), pp.1847~1869 (1998)
24. "Analysis of Neumann boundary optimal controlproblems for the stationary Boussinesq equations including solid media"
25. "Analysis of optimal control problems for the 2-D stationary Boussinesqequations", 242(2), pp.191~211 (2000)
26. "Piecewise optimal distributed controls for 2D Boussi-nesq equations", 23, pp.227~254 (2000)
27. "Dynamics for linear feedback controled B？enard equations with dis-tributed controls", 44(2), pp.163~175 (2001)
28. "Numerical solutions of optimal control for thermally convectiveows", 25, pp.205~227 (1997)
29. "Regularity and perturbation results for mixed second order elipticproblems", 22((5 & 6)), pp.869~899 (1997)
30. "Elliptic equations in Lipshitz domains", 152, pp.176~201 (1998)
31. "Fundamental principles of the theory of extremal problems" (1982)
32. "A numerical solution of the Navier-Stokes equationsusing the finite element methods"

관련 논문AI추천