Max Gunzburger

  Francis Eppes Distinguished Professor of Mathematics

School of Computational Science
400 Dirac Science Library
Florida State University
Tallahassee, FL 32306-4120

Department of Mathematics
208 James J. Love Building
Florida State University
Tallahassee, FL 32306-4510

Telephone: 850-644-7060
Fax: 850-644-0098
E-mail: gunzburg@csit.fsu.edu
http://www.csit.fsu.edu/~gunzburg

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Education
Positions
Awards and honors
Professional activities
Students
Grants and contracts
Invited talks
Publications

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Education

    New York University - B.S.(1966), M.S.(1967), Ph.D.(1969)

Positions

Awards and honors

    Peking University -- Guest Professorship, 2001
    Iowa State University
    Distinguished Professor, 2001-present
    Award for Excellence in Outreach, College of Liberal Arts and Sciences, 2000
    Visionary Award, Vision 2020 Project, 2000
    Miller Faculty Fellow, 1996-1997
    New York University
    Tau Beta Pi (1965)
    Founders' Day Awards for Academic Excellence (1966 and 1969)
    Bryan Medal for Excellence in Mechanics (1966)
    Alexander Klemin Plaque (1966)
    National Aeronautics and Space Administration
    NASA Traineeship Fellowship for Graduate Studies (1966-1969)
    Innovator's Prize for Inventions and Contributions (1985)

Professional activities

    Member
    American Mathematical Society (AMS)
    Society for Industrial and Applied Mathematics (SIAM); member of the Board of Trustees (2001-present)

    Member of the editorial board

    SIAM Journal on Numerical Analysis (Editor in Chief)
    SIAM Journal on Control and Optimization
    International Journal for Computational Fluid Dynamics
    SIAM book series: Advances in Design and Control

    Member

    Evaluation Panel for NSF Graduate Fellowships, 1993-1997; chair of panel, 1997
    Evaluation Panel for CBMS Regional Conferences, 1995-1997
    Subdisciplinary Evaluation Panel for NSF, 1998, 1999, 2001

    Conferences organized

    • Workshop on Flow Control IMA, Minneapolis, November, 1992 (sole organizer)
    • AMS-SIAM-IMS Summer Research Conference on the Mathematics of Superconductivity U. of Washington, Seattle, 1993 (one of two organizers)
    • Workshop on Optinal Design and Control Blacksburg, 1994 (co-chairman of the organizing committee)
    • SIAM Conference on Emerging Issues in Mathematics and Computation from the Material Sciences Pittsburgh, 1994 (member of organizing committee)
    • Conference on Supercondutivity Purdue University, 1998 (co-chairman of the organizing committee)
    • Society of Industrial and Applied Mathematics Annual Meeting Toronto, 1998 (co-chairman of the organizing committee)
    • Conference on Recent Trends and Advances in PDEs and Numerical PDEs Ames, 1998 (chairman of the organizing committee)
    • Second Annual Conference on Computer Science and Information Technologies Yerevan, Armenia, 1999 (member of the organizing committee)
    • Third AIAA Theoretical Fluids Dynamics Conference St. Louis, 2002 (member of the organizing committee)
    • Workshop on Least Squares Finite Element Methods and Applications Oberwolfach, Germany, 2002 (co-chairman of the organizing committee)
    • International Congress of Mathematicians Satellite Conference on Scientific Computing Xi'an, China, 2002 (member of the organizing committee)
    • Eight Navier-Stokes Conference St. Petersburg, Russia, 2002 (co-chairman of the organizing committee)

    Minisymposia organized by invitation

    • Modeling, Analysis, and Computation in Superconductivity ICIAM, Hamburg, 1995
    • Numerical Methods for Partial Differential Equations Canadian Applied and Industrial Mathematics Society Annual Meeting, 1999, Quebec
    • Flow Control and Optimization GAMM Annual Meeting, 2000, Gottingen, Germany
    • Flow control SIAM Conference on Control and Optimization, 2000, San Diego (with R. Smith)

    External examiner for Ph.D. dissertations

    University of Oxford (2), University of Paris-Sud, Simon Fraser University

    Reviewer for funding agencies

    Air Force Office of Scientific Research; Army Research Office; Department of Energy; National Aeronautics and Space Administration; National Research Council; National Science Foundation; Office of Naval Research; National Sciences and Engineering Research Council (Canada); Network for Computation and Modelling (Canada); Mathematics of Information Technology and Complex Systems Project (Canada); Montanans on a New Trac for Science; Science Research Council (Hong Kong)

    Reviewer for journals and book publishers

    AIAA Journal; Applied Mathematics Letters; Applied Numerical Methods; ASME Journal; Computers and Fluids; Computers and Mathematics with Applications; Computer Methods in Applied Mechanics and Engineering; Differential and Integral Equations; European Journal of Applied Mathematics; ESIAM Journal of Control, Optimization, and Calculus of Variations; Finite Elements in Analysis and Design; Flow, Turbulence and Combustion; Glasnic Matematicki; IEEE Transactions on Pattern Analysis and Machine Intelligence; International Journal of Engineering Science; International Journal for Computational Fluid Dynamics; International Journal for Numerical Methods in Fluids; Journal of Applied Mechanics; Journal of Computational and Applied Mathematics; Journal of Computational Physics; Journal of Dynamic Systems, Measurement, and Control; Journal of Engineering Mathematics; Journal of Fluids Engineering; Journal of Mathematical Analysis and Applications; Journal of Nonlinear Analysis; Journal of Optimization Theory and Applications; Journal of Propulsion and Power; Journal of Sound and Vibration; Journal of Thermophysics and Heat Transfer; Linear Algebra and its Applications; Mathematical and Computer Modeling; Mathematical Reviews; Mathematics of Computation; Numerical Algorithms; Numerical Methods for Partial Differential Equations; Numerische Mathematik; Physica C; Physica D; Physics Letters A; Physics of Fluids; Royal Society of Edinburgh; Separation Science and Technology; SIAM Journal on Applied Mathematics; SIAM Journal on Control; SIAM Journal on Numerical Analysis; SIAM Journal on Scientific and Statistical Computing; SIAM Journal on Scientific Computing; SIAM Review; Academic Press; Cambridge U. Press; John Wiley \& Sons; McGraw-Hill; Oxford U. Press; Prentice-Hall; PWS-Kent

    Originator, organizer, and manager

    Summer Program for Minority Undergraduate Students of Mathematics (1990-1993), a program that was successful in attracting minority students to graduate programs in mathematics

Students

    Ph.D. degree (20)

    M.S. degree (7)

    Postdoctoral associates (5)

Grants and contracts

    Current research grants and contracts

    Current outreach or education grants and contracts

    Completed research grants and contracts

    Completed outreach or education grants and contracts

Invited talks

    Short courses - (1997-2001)

    Plenary talks - (1994-2002)

    Invited conference and mini-symposium talks - (1994-2002)

    Invited colloquium talks - (1994-2002)

Publications

    Books
    1. Finite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice and Algorithms, Academic, Boston, 1989.
    2. Incompressible Computational Fluid Dynamics: Trends and Advances, Cambridge, Cambridge, 1993; edited with R. Nicolaides.
    3. Optimal Control and Design, Birkhauser, Boston, 1995; edited with J. Borggaard, J. Burkardt, and J. Peterson.
    4. Flow Control, Springer, New York, 1995; edited.
    5. Perspectives on Flow Control and Optimization, SIAM, Philadelphia, 2002; to appear.
    6. Least Squares Finite Element Methods, in preparation; with P. Bochev.
    7. Finite Element Methods, in preparation; with J. Peterson.

    Articles

    1. Diffraction of shock waves by a moving thin wing; J. Fluid Mech42 1970, 585-608; with L. Ting.
    2. Motion of decaying vortex rings with non-similar vorticity distributions; J. Engng. Math.6 1972, 53-61.
    3. Antisymmetric problems in shock diffraction theory; Z. Angew. Math. Phys.24 1973, 83-104; with V. Yang.
    4. Long time behavior of a decaying vortex; Z. Angew. Math. Mech.53 1973, 751-760.
    5. Mathematical formulation for the propagation of sound through a turbulent jet; J. Engng. Math.10 1976, 219-230; with C. Liu, L. Maestrello and L.Ting.
    6. Simulation by vortex rings of the unsteady pressure field near a jet; Progress in Astronautics and Aeronautics 43 AIAA and MIT, 1976, 47-64; with C. Liu and L. Maestrello.
    7. Frequency modulation at a moving material interface and a conservation law for wave number; J. Sound Vibration48 1976, 169-178; with G. Kleinstein.
    8. On the mathematical conditions for the existence of periodic fluctuations in nonuniform media; J. Sound Vibration48 1976, 345-357; with G. Kleinstein.
    9. Downstream boundary conditions for viscous flow problems; Comput. Math. Appl.3 1977, 53-63; with G. Fix.
    10. On the stability of Galerkin methods for initial-boundary value problems for hyperbolic systems; Math. Comp.31 1977, 661-675.
    11. Application of the wavenumber jump condition to the normal and oblique interaction of a plane acoustic wave and a plane shock; J. Sound Vibration53 1977, 417-433; with G. Kleinstein.
    12. On the matrix equations AH + HA* = A*H + HA = I; Linear Algebra Appl.17 1977, 277-282; with D. Gottlieb.
    13. On least squares approximations to indefinite problems of the mixed type; Internat. J. Numer. Methods Engng.12 1978, 453-469; with G. Fix.
    14. On the periodicity of ion-acoustic waves in an inhomogeneous plasma; J. Plasma Phys.20 1978, 345-350.
    15. Energy conserving norms for the solution of hyperbolic systems of partial differential equations; Math. Comp.33 1979, 1-10; with R. Plemmons.
    16. Simulation of the pressure field near a jet by randomly distributed vortex rings; AIAA J.17 1979, 553-557; with Y. Fung and C. Liu.
    17. Theory and application of mixed finite element methods; Constructive Approaches to Mathematical Models, Academic, 1979, 375-393; with G. Fix and R. Nicolaides.
    18. On finite element methods of the least squares type; Comput. Math. Appl.5 1979, 87-98; with G. Fix and R. Nicolaides.
    19. On mixed finite element methods for a class of nonlinear boundary value problems; Computational Methods in Nonlinear Mechanics, North-Holland, 1980, 245-260; with G. Fix and R. Nicolaides.
    20. On numerical methods for acoustics problems; Comput. Math. Appl.6 1980, 265-278; with G. Fix.
    21. On mixed finite element methods for first order elliptic systems; Numer. Math.37 1981, 29-48; with G. Fix and R. Nicolaides.
    22. On numerical boundary conditions for hyperbolic systems; Proc. 1981 Army Numerical Analysis and Computers Conference, ARO 81-3, U.S. Army Research Office, 1981, 221-232; with W. Layton.
    23. Mixed finite element methods for acoustics and flow problems; Proc. AIAA 5-th Computational Fluid Dynamics Conference, AIAA CP814 AIAA, 1981, 265-271; with G. Fix, R. Nicolaides and J. Peterson.
    24. Boundary conditions for the numerical solution of elliptic equations in exterior regions; SIAM J. Appl. Math.42 1982, 430-451; with A. Bayliss and E. Turkel.
    25. On conforming finite element methods for incompressible viscous flow problems; Comput. Math. Appl.8 1982, 167-179; with R. Nicolaides and J. Peterson.
    26. Stability of Gaussian elimination without pivoting on tridiagonal Toeplitz matrices; Linear Algebra Appl. 45 1982, 21-28; with R. Nicolaides.
    27. On the numerical boundary treatment of hyperbolic systems for finite difference and finite element methods; SIAM J. Numer. Anal.19 1982, 671-682; with D. Gottlieb and E. Turkel.
    28. A finite element method for the Onsager pancake equation; Comput. Methods Appl. Mech. Engng. 31 1982, 43-59; with H. Wood.
    29. New results in the finite element solution of steady viscous flows; The Mathematics of Finite Elements and its Applications,IV Academic, 1982, 463-470; with R. Nicolaides.
    30. A finite element method for diffusion dominated unsteady viscous flows; Comput. Methods Appl. Mech. Engng. 39 1983, 55-67; with C. Liu and R. Nicolaides.
    31. New discretization and solution techniques for incompressible viscous flow problems; Proc. AIAA 6-th Computational Fluid Dynamics Conference, AIAA CP834, AIAA, 1983, 665-671; with C. Liu and R. Nicolaides.
    32. A least squares finite element scheme for transonic flow around harmonically oscillating airfoils; J. Comp. Phys. 51 1983, 387-403; with C. Cox and G. Fix.
    33. On finite element approximations of problems having inhomogeneous essential boundary conditions; Comput. Math. Appl. 9 1983, 687-700; with G. Fix and J. Peterson.
    34. On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations; Numer. Math. 42 1983, 173-194; with J. Peterson.
    35. A numerical study of the effects of curvature on the fluid dynamics of gas centrifuges; Proc. 5-th Workshop on Gases in Strong Rotation, U. of Virginia, 1983, 745-800; with J. Jordan and H. Wood.
    36. Finite element algorithms for incompressible viscous flows; Proc. 1983 NASA Theoretical Aerodynamics Contractors' Workshop, NASA Langley Research Center, 1983, 317-328; with C. Liu and R. Nicolaides.
    37. On the approximation of the exterior Stokes problem in three dimensions; Proc. 5-th International Symposium on Finite Elements and Flow Problems; U. of Texas at Austin, 1984, 149-154; with G. Guirguis.
    38. Mixed finite element approximations for the biharmonic equation; Proc. 5-th International Symposium on Finite Elements and Flow Problems, U. of Texas at Austin, 1984, 281-286; with G. Fix, R. Nicolaides and J. Peterson.
    39. Numerical boundary conditions for flow problems; Trans. 1-st Army Conference on Applied Mathematics and Computing, ARO 84-1, U.S. Army Research Office, 1984, 567- 580; with G. Fix.
    40. Least squares approximations to compressible flow problems; Trans. 1-st Army Conference on Applied Mathematics and Computing, ARO 84-1, U.S. Army Research Office, 1984, 581-585; with G. Fix.
    41. A finite element method for gas centrifuge problems; SIAM J. Sci. Stat. Comput. 5 1984, 78-94; with J. Jordan and H. Wood.
    42. The effects of curvature on the flow field in rapidly rotating gas centrifuges; J. Fluid Mech. 140 1984, 373-395; with J. Jordan and H. Wood.
    43. On the finite element approximation of the streamfunction-vorticity equations; Advances in Computer Methods for Partial Differential Equations,V IMACS, 1984, 47-56; with J. Peterson.
    44. Issues in the implementation of substructuring algorithms for the Navier-Stokes equations; Advances in Computer Methods for Partial Differential Equations,V IMACS, 1984, 57-63; with R. Nicolaides.
    45. Some aspects of finite element approximations of incompressible viscous flows; Computational Methods in Viscous Flows, Pineridge, 1984, 173-189; with R. Nicolaides.
    46. Boundary layer flows over obstacles; Proc. 1984 NASA Theoretical Aerodynamics Contractors' Workshop, NASA Langley Research Center, 1984, 655-680; with C. Liu and R. Nicolaides.
    47. Elimination with noninvertible pivots; Linear Algebra Appl.64 1985, 183-189; with R. Nicolaides.
    48. Algorithmic and theoretical results on computation of incompressible viscous flows by finite element methods; Comput. Fluids 13 1985, 361-373; with C. Liu and R. Nicolaides.
    49. Algorithmic aspects of high Reynolds number solutions to incompressible Navier-Stokes equations; Proc.1985 NASA Theoretical Aerodynamics Contractors' Workshop, NASA Langley Research Center, 1985, 809-824; with C. Liu and R. Nicolaides.
    50. Normal modes of orthotropic plates; Proc. 12-th International Congress on Acoustics, IUPAP, 1986, K3-3; with A. Meir and R. Schumacher.
    51. On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations; Appl. Numer. Methods 2 1986, 243-256; with R. Nicolaides.
    52. A two time scale analysis of gyroscopic motion with friction; Z. Angew. Math. Phys.37 1986, 867-894; with H. Simpson.
    53. A non-standard finite element method of higher accuracy for hyperbolic systems in several space variables; Advances in Computer Methods for Partial Differential Equations,VI IMACS, 1987, 92-97; with Q. Du and W. Layton.
    54. Error estimates and implementation issues for artificial boundary condition methods for exterior problems; Advances in Computer Methods for Partial Differential Equations,VI IMACS, 1987, 338-345; with G. Guirguis.
    55. Finite element methods for a Ladyzhenskaya model of incompressible viscous flow; Numerical Methods in Laminar and Turbulent Flow,V Pineridge, 1987, 161-169; with Q. Du.
    56. Finite element methods for vorticity formulations of incompressible viscous flows; Numerical Methods in Laminar and Turbulent Flow,V Pineridge, 1987, 170-181; with J. Peterson.
    57. A finite element method for first order elliptic systems in three dimensions; Applied Math. Comput.23 1987, 171-184; with C. Chang.
    58. On the approximation of the exterior Stokes problem in three dimensions; Math. Model. Numer. Anal. 21 1987, 445-464; with G. Guirguis.
    59. Analysis of geometric effects on rotating compressible flows; Proc. of the Workshop on Separation Phenomena in Liquids and Gases, Technische Hochschule Darmstadt, Darmstadt, 1987, 602-642; with R. Wayland and H. Wood.
    60. Finite element methods for the streamfunction-vorticity equations: boundary condition treatments and multiply connected domains; SIAM J. Scient. Stat. Comput. 9 1988, 650-668; with J. Peterson.
    61. A low dispersion, high accuracy finite element method for first order hyperbolic systems in several space variables; Comput. Math. Appl. 15 1988, 447-457; with Q. Du and W. Layton.
    62. An analysis of approximations for an algebraic model of turbulence; Comput. Math. Appl. 15 1988, 945-951; with J. Turner.
    63. Mathematical aspects of finite element methods for incompressible viscous flows; Finite Elements: Theory and Practice, Springer, 1988, 124-150.
    64. On finite element approximations of the streamfunction-vorticity and velocity-vorticity equations; Intern. J. Numer. Meth. Fluids8 1988, 1229-1240; with J. Peterson.
    65. 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.
    66. Iterative penalty methods for the Stokes and Navier-Stokes equations; Finite Element Analysis in Fluids, University of Alabama, Huntsville, 1989, 1040-1045.
    67. An algorithm for the boundary control of the wave equation; Appl. Math. Let.2 1989, 225-228; with R. Nicolaides.
    68. A study of the effects of baffles on rotating compressible flows; J. Appl. Mech.56 1989, 710-712; with R. Wayland and H. Wood.
    69. Finite element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow; SIAM J. Numer. Anal.27 1990, 1-19; with Q. Du.
    70. Experiences with computational methods for the velocity-vorticity formulation of incompressible viscous flow; Computational Methods in Viscous Aerodynamics, Elsevier, 1990, 231-271; with M. Mundt and J. Peterson.
    71. A subdomain Galerkin/least squares method for first order elliptic systems in the plane; SIAM J. Numer. Anal.27 1990, 1197-1211; with C. Chang.
    72. 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.
    73. 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.
    74. 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.
    75. Analysis of a Ladyzhenskaya model for incompressible viscous flow; J. Math. Anal. Appl.155 1991, 21-45; with Q. Du.
    76. Analysis, approximation, and computation of control problems for incompressibe flows; Turbulence Structure and Control, Ohio State, 1991, 85-88.
    77. On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics; Math. Comp.56 1991, 523-563; with A. Meir and J. Peterson.
    78. 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.
    79. Vorticity constraints in velocity-vorticity formulations of steady, viscous, incompressible flow; Numerical Methods in Laminar and Turbulent Flow,VII, Pineridge, 1991, 774-781; with Q. Du and A. Meir.
    80. 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.
    81. 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.
    82. Predictor and steplength selection in continuation methods for the Navier-Stokes equations; Comput. Math. Appl.22 1991, 73-81; with J. Peterson.
    83. 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.
    84. Numerical solution of the boundary layer equations using the finite element method; Advances in Finite Element Analysis in Fluid Mechanics, FED-123, ASME, 1991, 29-38; with E. Hytopoulos and J. Schetz.
    85. 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.
    86. Analysis and approximation of the Ginzburg-Landau model of superconductivity; SIAM Review34 1992, 54-81; with Q. Du and J. Peterson.
    87. Numerical solution of the compressible boundary layer equations using the finite element method; AIAA Paper AIAA-92-0666, AIAA, Washington, 1992 [Also appeared in AIAA J.31 1993, 6-7]; with E. Hytopoulos and J. Schetz.
    88. Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses; SIAM J. Numer. Anal.29 1992, 390-424; with L. Hou.
    89. Mathematical and computational studies of macrospcopic models of superconductivity; Proc. Symposium on Applied Mathematics, Chinese Academy of Sciences, Beijing, 1992, 284-293; with Q. Du and J. Peterson.
    90. Solving the Ginzburg-Landau equations by finite element methods; Phys. Rev. B46 1992, 9027-9034; with Q. Du and J. Peterson.
    91. On the Ginzburg-Landau equations of superconductivity; Partial Differential Equations, Longman, 1992, 58-62; with Q. Du and J. Peterson.
    92. Numerical solution of the incompressible boundary layer equations using the finite element method; J. Fluids Engng.114 1992, 504-511; with E. Hytopoulos and J. Schetz.
    93. Issues in shape optimization for the Navier-Stokes equations; Proc. 31th IEEE Conf. Decision and Control, IEEE, 1992, 3390-3392; with J. Peterson.
    94. Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors; Numer. Math.64 1993, 85-114; with Q. Du and J. Peterson.
    95. A least-squares finite element method for the Navier-Stokes equations; Appl. Math. Lett.6 1993, 27-30; with P. Bochev.
    96. Heating and cooling control of temperature distributions along boundaries of flow domains; J. Math. Systems Estim. Control3 1993, 147-172; with L. Hou and T. Svobodny.
    97. 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.
    98. Least-squares methods for incompressible viscous flows and algorithms for flow control problems; Research in Computational Mathematics, Washington University, St. Louis, 1993, 11-13.
    99. The approximation of boundary control problems for fluid flows with an application to control by heating and cooling; Comput. Fluids22 1993, 239-251; with L. Hou and T. Svobodny.
    100. Modeling and analysis of a periodic Ginzburg-Landau model for type-II superconductors; SIAM J. Applied Math.53 1993, 689-717; with Q. Du and J. Peterson.
    101. The reduced basis method in control problems; Computation and Control III, Birkhauser, Cambridge, 1993, 211-218; with J. Peterson.
    102. Vibration of delaminated composite plates and some applications to non-destructive testing; Inter. J. Composite Struct.23 1993, 253-262; with E. Henneke and L. Tenek.
    103. Basic issues in the finite element approximation of viscous incompressible flows; Proc. Applied Math. Workshop on Numerical Analysis: Finite Element Methods, KAIST, Taejon, Korea, 1993, 1-20.
    104. Analysis and algorithms for flow control and optimization problems; Proc. Applied Math. Workshop on Numerical Analysis: Finite Element Methods, KAIST, Taejon, Korea, 1993, 21-41.
    105. Models and computational methods for superconductivity; Proc. Applied Math. Workshop on Numerical Analysis: Finite Element Methods, KAIST, Taejon, Korea, 1993, 43-60.
    106. The accuracy of least-squares methods for the Navier-Stokes equations; Comput. Fluids22 1993, 549-563; with P. Bochev.
    107. 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.
    108. A model for superconducting thin films having variable thickness; Physica D69 1993, 215-231; with Q. Du.
    109. Research in computational fluids and flow control; Research in Computational Mathematics, Phillips Laboratory, Albuquerqe, 1994.
    110. Analysis, approximation, and computation of a coupled solid/fluid temperature control problem; Comput. Methods Appl. Mech. Engng.118 1994, 133-152; with H.-C. Lee.
    111. Mathematical models in superconductivity, SIAM News27 1994, 1-15; with J. Ockendon.
    112. Boundary control of incompressible flows; Computational Fluid Dynamics Techniques, Harwood, UK, 1994 839-846; with L. Hou and T. Svobodny.
    113. Analysis of weighted least-squares finite element methods for the the Navier-Stokes equations; Proc. 14th IMACS World Congress on Computational and Applied Mathematics, Georgia Tech, Atlanta, 1994, 584-587; with P. Bochev.
    114. 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.
    115. 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.
    116. Analysis of least-squares finite element methods for the Stokes equations; Math. Comp.63 1994, 479-506; with P. Bochev.
    117. On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors; SIAM J. Appl. Math.55 1995, 156-174; with S. Chapman and Q. Du.
    118. Algorithms for flow control and optimization; Optimal Control and Design, 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..
    119. A prehistory of flow control and optimization; Flow Control, Springer, New York, 1995, 185-195.
    120. Computational simulation of type-II superconductivity including pinning phenomena; Phys. Rev. B51 1995, 16194-16203; with Q. Du and J. Peterson.
    121. 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.
    122. A Ginzburg-Landau type model of superconducting/normal junctions including Josephson junctions; Europ. J. Appl. Math.6 1995, 97-114; with S. Chapman and Q. Du.
    123. Simplified Ginzburg-Landau type models of superconductivity in the high kappa, high field limit; Adv. Math. Sciences Appl.5 1995, 193-218; with S. Chapman, Q. Du, and J. Peterson.
    124. Flow control and optimization; Computational Fluid Dynamics Review, Wiley, West Sussex, 1995, 548-566.
    125. Sensitivity discrepancy for geometric parameters; CFD for Design and Optmization, ASME, New York, 1995, 9-15; with J. Burkardt.
    126. Optimization-based design in high-speed flows; CFD for Design and Optmization, ASME, New York, 1995, 61-68; with J. Appel, E. Cliff, and A. Godfrey.
    127. Discretization of cost and sensitivities in shape optimization; Computation and Control IV, Birkhauser, 1995, 43-56; with J. Burkardt and J. Peterson.
    128. Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations; Comput. Methods Appl. Mech. Engng.126 1995, 267-287; with P. Bochev.
    129. 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.
    130. Sensitivity analysis and optimal control of flows; Computational and Physical Mathematics, Phillips Laboratory, Albuquerque, 1995, 5-7.
    131. Ginzburg-Landau type models for superconductivity; Proc. First World Congress of Nonlinear Analysts, de Gruyter, Berlin, 1996, 3779-3788; with Q. Du and J. Peterson.
    132. Analysis of a Monte Carlo boundary propagation method; Comput. Math. Appl.31 1996, 61-70; with R. Hiromoto and M. Mundt.
    133. Navier-Stokes equations for incompressible flows: finite element methods; Handbook on Computational Fluid Mechanics, Academic, Boston, 1996, 99-157.
    134. Analysis of some boundary value problems for Stokes flows; Kyungpook Math. J.35 1996, 501-512; with H.-C. Lee.
    135. Finite dimensional approximation of a class of constrained nonlinear optimal control problems; SIAM J. Cont. Opt.34 1996, 1001-1043; with L. Hou.
    136. 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.
    137. A model for variable thickness superconducting thin films; ZAMP47 1996, 410-431; with J. Chapman and Q. Du.
    138. Feedback control of Karman vortex shedding; J. Appl. Mech63 1996, 828-835; with H.-C. Lee.
    139. 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.
    140. Sensitivity calculation in flows with discontinuitites; AIAA Paper 96-2471, Proc. 14th AIAA Applied Aerodynamics Conference, AIAA, 1996; with J. Appel.
    141. 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.
    142. Difficulties in sensitivity calculations for flows with discontinuities; AIAA J.35 1997, 842-848; with J. Appel.
    143. Introduction into mathematical aspects of flow control and optimization; Inverse Design and Optimisation Methods, von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium, 1997.
    144. Approximate solutions via sensitivities; Inverse Design and Optimisation Methods, von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium, 1997; with J. Appel.
    145. Lagrange multiplier techniques; Inverse Design and Optimisation Methods, von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium, 1997.
    146. Vortices in superconductors: modeling and computer simulations; Phil. Trans. R. Soc. London A355 1997, 1957-1968; with J. Deang, Q. Du, and J. Peterson.
    147. 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.
    148. Least squares finite element methods for viscous, incompressible flows; Proc. Fluids Engineering Division Summer Meeting, FEDSM97-3487, ASME; with P. Bochev.
    149. The exact controllability of systems governed by linear parabolic equations; J. Math. Anal. Appl.215 1997, 174-189; with Y. Cao and J. Turner.
    150. 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.
    151. 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.
    152. Least-squares finite element approximations to solutions of interface problems; SIAM J. Numer. Anal35 1998, 393-405; with Y. Cao.
    153. Adjoint methods; Design Optimal et MDO, Centre de Recherche en Calcul Applique, Montreal, 1998, 1-25.
    154. 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.
    155. 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.
    156. 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.
    157. Sensitivities in computational methods for optimal flow control; Computational Methods for Optimal Design and Control, Birkhauser, Boston, 1998, 197-236.
    158. Issues related to least-squares finite element methods for the Stokes problem; SIAM J. Sci. Comput.20 1998, 878-906; with J. Deang.
    159. Finite element methods of least squares type; SIAM Review40 1998, 789-837; with P. Bochev.
    160. Computations of optimal controls for incompressible flows; Int. J. Comp. Fluid Dyn.11 1998, 181-191; with L. Hou, S. Manservisi, and Y. Yan.
    161. 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.
    162. 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.
    163. Analysis and computation of a mean-field model for superconductivity; Numer. Math.81 1999, 539-560; with Q. Du and H.-K. Lee.
    164. Domain decomposition for partial differential equations through optimization; Proc. Korean Advanced Institute for Science and Technology Mathematics Workshop on Finite Elements, 1999, 1-20; with H. Kwon and J. Peterson.
    165. Least-squares finite element methods with application to the Stokes equations; Proc. Korean Advanced Institute for Science and Mathematics Technology Workshop on Finite Elements, 1999, 21-40; with P. Bochev and J. Deang.
    166. Optimal boundary control of the Navier-Stokes equations with bounds on the control; Proc. Korean Advanced Institute for Science and Technology Mathematics Workshop on Finite Elements, 1999, 41-60; with A. Fursikov and L. Hou.
    167. Approximation of a mean field model for superconductivity; Proc. Korean Advanced Institute for Science and Mathematics Technology Workshop on Finite Elements, 1999, 61-72; with Q. Du and H.-K. Lee.
    168. An optimization based domain decomposition method for partial differential equations; Comp. Math. Appl.37, 1999, 77-93; with H.-K. Lee and J. Peterson.
    169. Sensitivites, adjoints, and flow optimization; Inter. J. Num. Meth. Fluids.31, 1999, 53-78.
    170. The velocity tracking problem for Navier-Stokes flows with bounded distributed control; SIAM J. Cont. Optim.37, 1999, 1913-1945; with S. Manservisi.
    171. Centroidal Voronoi tessellations: applications and algorithms; SIAM Review41, 1999, 637-676; with Q. Du and V. Faber.
    172. A penalty/least-squares method for optimal control problems for first-order elliptic systems; Appl. Math. Comp.107, 2000, 57-75; with H.-C. Lee.
    173. Solution of elliptic partial differential equations by an optimization-based domain decomposition method; Appl. Math. Comp.113, 2000, 111-139; with M. Heinkenschloss and H.-K. Lee.
    174. A domain decomposition method for optimization problems for partial differential equations; Comput. Math. Appl.40, 2000, 177-192; with J. Lee.
    175. Optimal control problems for the Navier-Stokes equations; in Lectures on Applied Mathematics, Springer, Berlin 2000; with A. Fursikov, S. Hou, and S. Manservisi.
    176. Optimization-based methods for multidisciplinary simulation and optimization; in Proc. 8th Annual Conference of the CFD Society of Canada, CERCA, Montreal, 2000, 689-694; with Q. Du and J. Lee.
    177. An optimization-based domain decomposition method for the Navier-Stokes equations; SIAM J. Numer. Anal.37, 2000, 1455-1480; with H.-K. Lee.
    178. 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.
    179. A gradient method approach to optimization-based multidisciplinary simulations and nonoverlapping domain decomposition algorithms; SIAM J. Numer. Anal.37, 2000, 1513-1541; with Q. Du.
    180. Control and optimal design of flow systems with CFD, Short course notes, CERCA, Montreal, 2000.
    181. A variational inequality formulation of an inverse elasticity problem; Appl. Numer. Math. 34, 2000, 99-126; with S. Manservisi.
    182. Global existence of weak solutions for incompressible viscous flow around a moving rigid body in three dimensions; J. Math. Fluid Mech. 2, 2000, 219-266; with H.-C. Lee and G. Seregin.
    183. The velocity tracking problem for Navier-Stokes flows with boundary control; SIAM J. Cont. Optim. 39, 2000, 594-634; with S. Manservisi.
    184. 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.
    185. Optimal control of stationary, low Mach number, highly nonisothermal viscous flows; ESAIM:COCV 5, 2000, 477-500; with O. Imanuvilov.
    186. 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.
    187. 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.
    188. Adjoint equation-based methods for control problems in viscous, incompressible flows; Flow, Turbul., Comb. 65, 2000, 249-272.
    189. Shape design of channel flows for steady, incompressible flows; to appear in Proc. 39th Conf. Decision and Control, IEEE; with H. Kim and S. Manservisi.
    190. Magnetic control of transpost phenomena in CZ crystal growth processes; to appear in Proc. IMECE'01, ASME; with E. Ozugurlu, J. Turner, and H. Zhang.
    191. Stochastic dynamics of Ginzburg-Landau vortices in superconductors; Phys. Rev. B 64, 2001, 052506; with J. Deang and Q. Du.
    192. Controlling transport phenomena in the Czochralski crystal growth process; J. Crystal Growth 234, 2002, 47-62; with E. Ozugurlu, J. Turner, and H. Zhang.
    193. Trace theorems for three-dimensional, time-dependent solenoidal vector fields and their applications; Trans. Amer. Math. Soc. 354, 2002, 1079-1116; with A. Fursikov and L. Hou.
    194. Flow matching by shape design for the Navier-Stokes system; to appear in Proc. Oberwolfach Workshop on Control of Complex Systems; with S. Manservisi.
    195. Inhomogeneous Dirichlet boundary value problems for the evolutionary three-dimensional Navier-Stokes equations; to appear in J. Math. Fluid Mech.; with A. Fursikov and L. Hou.
    196. Meshfree, probabilistic determination of point sets and support regions for meshless methods; to appear in Comp. Meth. Appl. Mech. Engrg.; with Q. Du and L. Ju.
    197. Grid generation and optimization based on centroidal Voronoi tessellations; to appear in Appl. Math. Comput.; with Q. Du.
    198. The inf-sup condition in mixed finite element methods with application to the Stokes system; to appear in Preservation of Stability Under Discretization, SIAM, Philadelphia.
    199. Nucleation of superconductivity in finite anisotropic superconductors and the evolution of surface superconductivity toward the bulk mixed state; to appear in Phys. Rev. B; with J. Clem, J. Deang, and V. Kogan.
    200. Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems; to appear in Inter. J. Comput. Fluid Dyn.; with J. Burkardt and J. Peterson.
    201. Probabilistic algorithms for centroidal Voronoi tessellations and their parallel implementation; to appear in Parallel Comput.; with Q. Du and L. Ju.
    202. Modeling and computation of random thermal fluctuations and material defects in the Ginzburg-Landau model for superconductivity; submitted; with J. Deang and Q. Du.
    203. Constrained centroidal Voronoi tessellations on general surfaces; submitted; with Q. Du and L. Ju.
    204. Centroidal Voronoi tessellation based proper orthogonal decomposition analysis; submitted; with Q. Du.
    205. Modeling and analysis of the forced Fisher equation; submitted; with S. Hou and Y. Zhu.
    206. Optimal boundary control for the Navier-Stokes system: the three-dimensional case; in preparation; with A. Fursikov and L. Hou.
    207. Analysis, approximation, and control of inhomegeneous boundary value for problems parabolic equations; in preparation; with K. Chrisafinos and L. Hou.
    208. Analysis and approximations of a fluid-structure interaction problem; in preparation; with Q. Du, L. Hou, and J. Lee.
    209. Optimal boundary control for the evolutionary Navier-Stokes system: the three-dimensional case; in preparation; with A. Fursikov and L. Hou.

    Reports (not appearing as articles)

    1. Numerical program and examples for diffraction of shock by wings; New York University Report AA-69-8, 1969; with F. Chow.
    2. On the application of the finite difference boundary value method to the calculation of the Born-Oppenheimer vibrational eigenenergies for the double minimum state of the hydrogen molecule; ICASE Report 76-5, 1976; with R. Raffenetti.
    3. On mixed finite element methods I: The Kelvin Principle; ICASE Report 77-17, 1977; with G. Fix and R. Nicolaides.
    4. On mixed finite element methods II: The least squares method; ICASE Report 77-18, 1977; with G. Fix and R. Nicolaides.
    5. On mixed finite element methods III: The grid decomposition property and examples; ICASE Report 78-7, 1978; with G. Fix and R. Nicolaides.
    6. The computational accuracy of some finite element methods for incompressible viscous flow problems; ICASE Report 81-7, 1981; with R. Nicolaides.
    7. Solution of Onsager's equation for a rotating compressible fluid in a multiply connected region; U. of Virginia Report UVA-ER-970-85U, 1985; with R. Wayland and H. Wood
    8. COMPOS-TG1, a finite element computer program for three dimensional analysis of composite plates, Virginia Tech Report, 1990; with L. Tenek.
    9. An optimization problem involving a linear two-point boundary value problem; ICAM Report 91-07-02, Virginia Tech, 1991; with J. Burns and E. Cliff.
    10. An optimization problem involving a nonlinear two-point boundary value problem; ICAM Report 91-07-03, Virginia Tech, 1991; with J. Burns and E. Cliff.
    11. Equations for the sensitivities for the 2D, invscid, supersonic forebody problem; ICAM Report 91-07-05, Virginia Tech, 1991; with J. Burns and E. Cliff.
    12. User manual and supporting information for library of codes for centroidal Voronoi point placement and associated zeroth, first, and second moment determination; to appear; with R. Brannon, J. Burkardt, and J. Peterson.

    Book reviews

    1. Finite Element Solution of Boundary Value Problems -- Theory and Computaition, by O. Axelsson and V. Baker, Academic, Orlando, 1984; SIAM Review30 1988, 143-144.
    2. Viscous Vortical Flows, by L. Ting and R. Klein, Springer, Berlin, 1991; SIAM Review37 1995, 124-127.

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