Numerical approximation of an optimal control problem associated with the
Navier-Stokes equations;
Appl. Math. Let. 2, 1989, 29-31; with L. Hou and
T. Svobodny.
An algorithm for the boundary control of the wave equation;
Appl. Math. Let. 2, 1989, 225-228; with R.
Nicolaides.
Optimal boundary control of nonsteady incompressible flow with an application
to viscous drag reduction;
Proc. 29th IEEE Conf. Decision and Control, IEEE,
1990, 377-378; with L. Hou and T. Svobodny.
A numerical method for drag minimization via the suction and injection of mass
through the boundary;
Stabilization of Flexible Structures, Springer, 1990,
312-321; with L. Hou and T. Svobodny.
Finite element approximations of an optimal control problem associated with the
scalar Ginzburg-Landau equation;
Comput. Math. Appl. 21, 1991, 123-131; with L.
Hou and T. Svobodny.
Control of temperature distributions along boundaries of engine components;
Numerical Methods in Laminar and Turbulent Flow VII,
Pineridge, 1991, 765-773; with L. Hou and T. Svobodny.
Approximation of boundary control and optimization problems for fluid flows;
4th International Symposium on Computational Fluid Dynamics,
U. California, Davis, 1991, 455-460; with L. Hou and T. Svobodny.
Analysis and finite element approximations of optimal control problems for the
stationary Navier-Stokes equations with distributed and Neumann controls;
Math. Comp. 57 1991, 123-151; with L. Hou and T.
Svobodny.
Analysis and finite element approximations of optimal control problems for the
stationary Navier-Stokes equations with Dirichlet controls;
Math. Model. Numer. Anal. 25, 1991, 711-748; with
L. Hou and T. Svobodny.
Boundary velocity control of incompressible flow with an application to viscous
drag reduction;
SIAM J. Control Optim. 30 1992, 167-181; with L.
Hou and T. Svobodny.
(Alternative pdf link)
Issues in shape optimization for the Navier-Stokes equations;
Proc. 31th IEEE Conf. Decision and Control, IEEE,
1992, 3390-3392; with J. Peterson.
Heating and cooling control of temperature distributions along boundaries of
flow domains;
J. Math. Systems Estim. Control 3 1993, 147-172;
with L. Hou and T. Svobodny.
Optimal control and optimization of viscous, incompressible flows;
Incompressible Computational Fluid Dynamics: Trends and
Advances, Cambridge, 1992, 109-150; with L. Hou and T. Svobodny.
The approximation of boundary control problems for fluid flows with an
application to control by heating and cooling;
Comput. Fluids 22 1993, 239-251; with L. Hou and
T. Svobodny.
The reduced basis method in control problems;
Computation and Control III Birkhauser, Cambridge,
1993, 211-218; with J. Peterson.
Sensitivity calculations for a 2D, inviscid, supersonic forebody problem;
Identification and Control of Systems Governed by Partial
Differential Equations, SIAM, Philadelphia, 1993, 14-24; with J.
Borggaard, J. Burns, and E. Cliff.
Boundary control of incompressible flows;
Computational Fluid Dynamics Techniques, Harwood, UK,
1994 839-846; with L. Hou and T. Svobodny.
Feedback control of fluid flows;
Proc. 14th IMACS World Congress on Computational and Applied
Mathematics, Georgia Tech, Atlanta, 1994, 716-719; with H.-C. Lee.
Analysis and approximation of optimal control problems with nonlinear
constraints;
Proc. 33th IEEE Conf. Decision and Control, IEEE,
Lake Buena Vista, 1994, 299-304; with L. Hou, S. Ravindran, and J. Turner.
Algorithms for flow control and optimization;
Optimal Design and Control, Birkhauser, Boston, 1995,
97-116; with J. Borggaard, J. Burkardt, J. Burns, E. Cliff, H. Kim, H. Lee, J.
Peterson, A. Shenoy, and X. Wu.
A prehistory of flow control and optimization;
Flow Control, Springer, New York, 1995, 185-195.
Active control of instabilities in laminar boundary-layer flow: Use of sensors
and spectral controller;
AIAA J. 33 1995, 1521-1523; with G. Erlebacher,
M. Hussaini, R. Joslin, and R. Nicolaides.
Flow control and optimization;
Computational Fluid Dynamics Review, Wiley, West
Sussex, 1995, 548-566.
Sensitivity discrepancy for geometric parameters;
CFD for Design and Optimization, ASME, New York,
1995, 9-15; with J. Burkardt.
Optimization-based design in high-speed flows;
CFD for Design and Optimization, ASME, New York,
1995, 61-68; with J. Appel, E. Cliff, and A. Godfrey.
Discretization of cost and sensitivities in shape optimization;
Computation and Control IV, Birkhauser, 1995, 43-56;
with J. Burkardt and J. Peterson.
Analysis
and finite element approximation of optimal control problems for a
Ladyzhenskaya model for stationary, incompressible, viscous flows;
J. Comp. Appl. Math. 61 1995, 323-343; with Q. Du
and L. Hou.
(Alternative pdf link)
Sensitivity analysis and optimal control of flows;
Computational and Physical Mathematics, Phillips
Laboratory, Albuquerque, 1995, 5-7.
Finite dimensional approximation of a class of constrained nonlinear optimal
control problems;
SIAM J. Cont. Opt. 34, 1996, 1001-1043; with L.
Hou.
(Alternative pdf link)
A methodology for the automated optimal control of flows including transitional
flows;
Proc. ASME Forum on Control of Transitional and Turbulent
Flows FED-237, ASME, 1996 287-294; with G. Erlebacher, M. Hussaini, R.
Joslin, and R. Nicolaides.
Feedback control of Karman vortex shedding;
J. Appl. Mech 63, 1996, 828-835; with H.-C. Lee.
An optimal design problem for a two dimensional flow in a duct;
Opt. Control Appl. Meth. 17, 1996, 329-339; with
E. Cliff and X. Wu.
Sensitivity calculation in flows with discontinuitites; AIAA Paper 96-2471,
Proc. 14th AIAA Applied Aerodynamics Conference,
AIAA, 1996; with J. Appel.
An automated methodology for optimal flow control with an application to
transition delay;
AIAA J. 35, 1997, 816-824; with G. Erlebacher, M.
Hussaini, R. Joslin, and R. Nicolaides.
Difficulties in sensitivity calculations for flows with discontinuities;
AIAA J. 35, 1997, 842-848; with J. Appel.
Introduction into mathematical aspects of flow control and optimization;
Inverse Design and Optimisation Methods, von Karman
Institute for Fluid Dynamics, Rhode-Saint-Gen\`ese, Belgium, 1997.
Approximate solutions via sensitivities;
Inverse Design and Optimisation Methods, von Karman
Institute for Fluid Dynamics, Rhode-Saint-Gen\`ese, Belgium, 1997; with J.
Appel.
Lagrange multiplier techniques;
Inverse Design and Optimisation Methods, von Karman
Institute for Fluid Dynamics, Rhode-Saint-Gen\`ese, Belgium, 1997.
Analysis
and approximation of optimal control problems for a simplified Ginzburg-Landau
model of superconductivity;
Numer. Math. 77, 1997, 243-268; with L. Hou and
S. Ravindran.
(Alternative pdf link)
The
controllability of systems governed by linear parabolic equations;
J. Math. Anal. Appl. 215, 1997, 174-189; with Y.
Cao and J. Turner.
(Alternative pdf link)
On exact controllability and convergence of optimal controls to exact controls
of parabolic equations;
Optimal Control: Theory, Algorithms, and Applications,
Kluwer, 1998, 67-83; with Y. Cao and J. Turner.
Optimal control problems for a class of nonlinear equations with an application
to the control of fluids;
Optimal Control of Viscous Flows, SIAM, Philadelphia,
1998, 43-62; with L. Hou and T. Svobodny.
Adjoint methods;
Design Optimal et MDO, Centre de Recherche en Calcul
Appliqu\'e, Montr\'eal, 1998, 1-25.
Boundary value problems and optimal boundary control for the Navier-Stokes
system: The two-dimensional case;
SIAM J. Cont. Optim. 36, 1998, 852-894; with A.
Fursikov and L. Hou.
(Alternative pdf link )
Existence of an optimal solution of a shape control problem for the stationary
Navier-Stokes equations;
SIAM J. Cont. Optim. 36, 1998, 895-909; with H.
Kim.
(Alternative pdf link)
A domain decomposition method for the Navier-Stokes equations;
Proc. 17th Workshop in Pure Mathematics; Korean
Academic Council, Seoul, 1998, 13-33; with H.-K. Lee.
Sensitivities in computational methods for optimal flow control;
Computational Methods for Optimal Design and Control,
Birkh\"auser, Boston, 1998, 197-236.
Computations of optimal controls for incompressible flows;
Int. J. Comp. Fluid Dyn. 11, 1998, 181-191; with
L. Hou, S. Manservisi, and Y. Yan.
Optimal Dirichlet control and inhomogeneous boundary value problems for the
unsteady Navier-Stokes equations;
Control of Partial Differential Equations, ESAIM
Proceedings 4, SMAI, Paris, 1998, 97-116; with A. Fursikov and L. Hou.
Analysis and approximation of optimal control problems for first-order elliptic
systems in three dimensions;
Appl. Math. Comp. 100, 1999, 49-70; with H.-C. Lee.
(Alternative pdf link)
Sensitivites,
adjoints, and flow optimization;
Inter. J. Num. Meth. Fluids. 31, 1999, 53-78.
(Alternative pdf link)
The
velocity tracking problem for Navier-Stokes flows with bounded distributed
control;
SIAM J. Cont. Optim. 37, 1999, 1913-1945; with S.
Manservisi.
(Alternative pdf link)
Optimal control problems for the Navier-Stokes equations; in
Lectures on Applied Mathematics Springer, Berlin
2000; with A. Fursikov, S. Hou, and S. Manservisi.
Analysis and approximation of the velocity tracking problem for Navier-Stokes
flows with distributed control;
SIAM J. Numer. Anal. 37, 2000, 1481-1512; with S.
Manservisi.
(Alternative pdf link)
A
variational inequality formulation of an inverse elasticity problem;
Appl. Numer. Math. 34 2000, 99-126; with S.
Manservisi.
(Alternative pdf link)
The
velocity tracking problem for Navier-Stokes flows with boundary control;
SIAM J. Cont. Optim. 39 2000, 594-634; with S.
Manservisi.
(Alternative pdf link)
Analysis and approximation for linear feedback control for tracking the velocity
in Navier-Stokes flows;
Comp. Meth. Appl. Mech. Engrg. 189 2000, 803-823;
with S. Manservisi.
Optimal control of stationary, low Mach number, highly nonisothermal viscous
flows;
ESAIM:COCV5 2000, 477-500; with O. Imanuvilov.
On a shape control problem for the stationary Navier-Stokes equations;
Math. Model. Numer. Anal.34 2000, 1233-1258; with
H. Kim and S. Manservisi.
Adjoint and sensitivity-based methods for optimization of gas centrifuges;
Proc. 7th Work. Separation Phenomena in Liquids and Gases;
Moscow Engineering Physics Institute, Moscow, 2000, 89-99; with H. Wood.
Adjoint
equation-based methods for control problems in viscous, incompressible flows;
Flow, Turbul., Comb.65 2000, 249-272.
(Alternative pdf)
Shape design of channel flows for steady, incompressible flows;
Proc. 39th Conf. Decision and Control, IEEE; with H.
Kim and S. Manservisi.
Magnetic control of transport phenomena in CZ crystal growth processes; to
appear in
Proc. IMECE'01, ASME; with E. Ozugurlu, J. Turner,
and H. Zhang.
Flow matching by shape design for the Navier-Stokes system;
International Series of Numerical Mathematics139,
Birk\"auser, Basel, 2001, 279-289; with S. Manservisi.
Controlling transport phenomena in the Czochralski crystal growth process;
J. Crystal Growth 234 2002, 47-62; with E.
Ozugurlu, J. Turner, and H. Zhang.
Insensitive functionals, inconsistent gradients, spurious minima, and
regularized functionals in flow optimization problems;
Inter. J. Comput. Fluid Dyn. 16 2002, 171-185;
with J. Burkardt and J. Peterson.
Approximation of exact boundary controllability problems for the 1-D wave
equation by optimization-based methods;
Recent Advances in Scientific Computing and Partial
Differential Equations, AMS, Providence, 2003, 133-153; with L. Hou and
L. Ju.
Optimal boundary control for the evolutionary Navier-Stokes system: the
three-dimensional case;
SIAM J. Cont. Optim. 43 2005, 2191-2232; with A.
Fursikov and L. Hou.
(Alternative pdf link)
Analysis
and discretization of an optimal control problem for the time-periodic MHD
equations;
J. Math. Anal. Appl. 308 2005, 440-466; with C.
Trenchea.
(Alternative pdf link)
Least-squares
finite element methods for optimality systems arising in optimization and
control problems;
SIAM J. Numer. Anal. 43 2006, 2517-2543; with P.
Bochev.
(Alternative pdf link)
On
least-squares variational principles for the discretization of optimization and
control problems;
Meth. Appl. Anal. Vol. 12, No. 4, pp. 395–426, December 2005;
with P. Bochev.
(Alternative pdf link)
An optimization-based numerical method for exact boundary controllability
problems for the wave equation; to appear in
Comp. Math. Appl.; with L. Hou and L. Ju.
Semidiscrete approximations of optimal robin boundary control problems
constrained by semilinear parabolic PDEs;
J. Math. Anal. Appl.,323 (2006) 891–912; with K.
Chrysafinos and L. Hou.
(Alternative pdf link)