Karl Kunisch

Articles in Scholarly Journals [Incomplete List]

  1. Optimal Control of Obstacle Problems by H1-Obstacles
    Applied Mathematics and Optimization, vol. 56, no. 1, pp. 1–17, 2007
  2. Optimal control of vortices in non-homogeneous Navier–Stokes flows☆
    Nonlinear Analysis: Theory, Methods & Applications, vol. 66, no. 11, pp. 2618–2634, 2007
  3. Convergence of the Primal-Dual Active Set Strategy for Diagonally Dominant Systems
    SIAM Journal on Control and Optimization, vol. 46, no. 1, p. 14, 2007
  4. Optimal Bilinear Control of an Abstract Schrödinger Equation
    SIAM Journal on Control and Optimization, vol. 46, no. 1, p. 274, 2007
  5. Feasible and Noninterior Path-Following in Constrained Minimization with Low Multiplier Regularity
    SIAM Journal on Control and Optimization, vol. 45, no. 4, p. 1198, 2006
  6. A globalization strategy for the multigrid solution of elliptic optimal control problems
    Optimization Methods and Software, vol. 21, no. 3, pp. 445–459, 2006
  7. Path-following Methods for a Class of Constrained Minimization Problems in Function Space
    SIAM Journal on Optimization, vol. 17, no. 1, p. 159, 2006
  8. Optimal Control for a Stationary MHD System in Velocity-Current Formulation
    SIAM Journal on Control and Optimization, vol. 45, no. 5, p. 1822, 2006
  9. Receding Horizon Control with Incomplete Observations
    SIAM Journal on Control and Optimization, vol. 45, no. 1, p. 207, 2006
  10. Reduced order control based on approximate inertial manifolds
    Linear Algebra and its Applications, vol. 415, no. 2-3, pp. 531–541, 2006
  11. Parabolic variational inequalities: The Lagrange multiplier approach
    Journal de Mathématiques Pures et Appliqués, vol. 85, no. 3, pp. 415–449, 2006
  12. Dynamical system based optimal control of incompressible fluids. Boundary control
    European Journal of Mechanics - B/Fluids, vol. 25, no. 2, pp. 153–163, 2006
  13. A Semi-smooth Newton Method for Regularized State-constrained Optimal Control of the Navier-Stokes Equations
    Computing, vol. 78, no. 4, pp. 287–309, 2006
  14. A Multigrid Scheme for Elliptic Constrained Optimal Control Problems
    Computational Optimization and Applications, vol. 31, no. 3, pp. 309–333, 2005
  15. Generalized Newton methods for crack problems with nonpenetration condition
    Numerical Methods for Partial Differential Equations, vol. 21, no. 3, pp. 586–610, 2005
  16. Optimal distributed-control of vortices in Navier–Stokes flows
    Comptes Rendus Mathematique, vol. 341, no. 3, pp. 147–152, 2005
  17. Variational approach to shape derivatives for a class of Bernoulli problems
    Journal of Mathematical Analysis and Applications, 2005
  18. POD-based feedback control of the burgers equation by solving the evolutionary HJB equation
    Computers & Mathematics with Applications, vol. 49, no. 7-8, pp. 1113–1126, 2005
  19. A semi-smooth Newton method for control constrained boundary optimal control of the Navier–Stokes equations
    Nonlinear Analysis, vol. 62, no. 7, pp. 1289–1316, 2005
  20. Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
    Mathematical Modelling and Numerical Analysis, vol. 39, no. 4, pp. 827–854, 2005
  21. An embedding domain approach for a class of 2-d shape optimization problems: mathematical analysis
    Journal of Mathematical Analysis and Applications, vol. 290, no. 2, pp. 665–685, 2004
  22. Dynamical systems-based optimal control of incompressible fluids
    International Journal for Numerical Methods in Fluids, vol. 46, no. 4, pp. 345–359, 2004
  23. Second order methods for boundary control of the instationary Navier-Stokes system
    ZAMM, vol. 84, no. 3, pp. 171–187, 2004
  24. A comparison of algorithms for control constrained optimal control of the Burgers equation
    Calcolo, vol. 41, no. 4, pp. 203–225, 2004
  25. Denoising of Smooth Images Using L1-Fitting
    Computing, vol. 74, no. 4, pp. 353–376, 2004
  26. The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
    SIAM Journal on Control and Optimization, vol. 43, no. 1, p. 357, 2004
  27. HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems
    SIAM E-Journal on Applied Dynamical Systems, vol. 3, no. 4, p. 701, 2004
  28. Differentiability properties of the
    Inverse Problems, vol. 20, no. 4, pp. 1083–1097, 2004
  29. The primal-dual active set method for a crack problem with non-penetration
    IMA Journal of Applied Mathematics, vol. 69, no. 1, pp. 1–26, 2004
  30. Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem
    SIAM Journal on Applied Mathematics, vol. 64, no. 4, p. 1311, 2004
  31. Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System
    SIAM Journal on Control and Optimization, vol. 41, no. 5, p. 1477, 2003
  32. An Infeasible Active Set Method for Quadratic Problems with Simple Bounds
    SIAM Journal on Optimization, vol. 14, no. 1, p. 35, 2003
  33. Différentiabilité d'une L1 fonctionnelle écart liée au problème inverse de Robin
    Comptes Rendus Mathematique, vol. 337, no. 12, pp. 771–776, 2003
  34. On the structure of Lagrange multipliers for state-constrained optimal control problems
    Systems & Control Letters, vol. 48, no. 3-4, pp. 169–176, 2003
  35. Semi-smooth Newton methods for state-constrained optimal control problems
    Systems & Control Letters, vol. 50, no. 3, pp. 221–228, 2003
  36. Semi?Smooth Newton Methods for Variational Inequalities of the First Kind
    Mathematical Modelling and Numerical Analysis, vol. 37, no. 1, pp. 41–62, 2003
  37. Computational Optimization and Applications, vol. 26, no. 3, pp. 231–251, 2003
  38. Journal of Mathematical Imaging and Vision, vol. 19, no. 3, pp. 219–235, 2003
  39. Augmented Lagrangian Active Set Methods for Obstacle Problems
    Journal of Optimization Theory and Applications, vol. 119, no. 3, pp. 499–533, 2003
  40. Computational Optimization and Applications, vol. 22, no. 2, pp. 193–224, 2002
  41. The Output Least Squares Identifiability of the Diffusion Coefficient from an H
    Control, Optimisation and Calculus of Variations, vol. 8, pp. 423–440, 2002
  42. Receding horizon optimal control for infinite dimensional systems
    Control, Optimisation and Calculus of Variations, vol. 8, pp. 741–760, 2002
  43. An optimal control approach to optical flow computation
    International Journal for Numerical Methods in Fluids, vol. 40, no. 1-2, pp. 231–240, 2002
  44. The Primal-Dual Active Set Strategy as a Semismooth Newton Method
    SIAM Journal on Optimization, vol. 13, no. 3, p. 865, 2002
  45. Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
    SIAM Journal on Optimization, vol. 13, no. 2, p. 321, 2002
  46. Optimal Control Formulation for Determining Optical Flow
    SIAM Journal on Scientific Computing, vol. 24, no. 3, p. 818, 2002
  47. Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
    SIAM Journal on Numerical Analysis, vol. 40, no. 2, p. 492, 2002
  48. Optimal Control of the Solid Fuel Ignition Model with H1-Cost
    SIAM Journal on Control and Optimization, vol. 40, no. 5, p. 1455, 2002
  49. Asymptotic Properties of Receding Horizon Optimal Control Problems
    SIAM Journal on Control and Optimization, vol. 40, no. 5, p. 1585, 2002
  50. Inverse Problems, vol. 17, no. 5, pp. 1225–1242, 2001
  51. Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
    SIAM Journal on Control and Optimization, vol. 40, no. 3, p. 925, 2001
  52. Galerkin proper orthogonal decomposition methods for parabolic problems
    Numerische Mathematik, vol. 90, no. 1, pp. 117–148, 2001
  53. Suboptimal control of transient nonisothermal viscoelastic fluid flows
    Physics of Fluids, vol. 13, no. 9, p. 2478, 2001
  54. Computational Optimization and Applications, vol. 18, no. 2, pp. 95–114, 2001
  55. Flow, Turbulence and Combustion, vol. 65, no. 3/4, pp. 273–298, 2000
  56. Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
    Nonlinear Analysis, vol. 41, no. 5-6, pp. 591–616, 2000
  57. Optimal control of non-isothermal viscoelastic fluid flow
    Journal of Non-Newtonian Fluid Mechanics, vol. 88, no. 3, pp. 261–301, 2000
  58. Optimal Control of Elliptic Variational Inequalities
    Applied Mathematics and Optimization, vol. 41, no. 3, pp. 343–364, 2000
  59. The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control
    SIAM Journal on Scientific Computing, vol. 22, no. 1, p. 263, 2000
  60. Newton's Method for a Class of Weakly Singular Optimal Control Problems
    SIAM Journal on Optimization, vol. 10, no. 3, p. 896, 2000
  61. A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
    SIAM Journal on Optimization, vol. 11, no. 2, p. 495, 2000
  62. Inverse Problems, vol. 16, no. 4, pp. 909–928, 2000
  63. Inverse Problems, vol. 13, no. 4, pp. 995–1013, 1999
  64. Inverse Problems, vol. 14, no. 5, pp. 1247–1264, 1999
  65. Primal-Dual Strategy for Constrained Optimal Control Problems
    SIAM Journal on Control and Optimization, vol. 37, no. 4, p. 1176, 1999
  66. Regularization by Functions of Bounded Variation and Applications to Image Enhancement
    Applied Mathematics and Optimization, vol. 40, no. 2, pp. 229–257, 1999
  67. Instantaneous control of backward-facing step flows
    Applied Numerical Mathematics, vol. 31, no. 2, pp. 133–158, 1999
  68. Journal of Optimization Theory and Applications, vol. 102, no. 2, pp. 345–371, 1999
  69. An active set strategy based on the augmented Lagrangian formulation for image restoration
    Mathematical Modelling and Numerical Analysis, vol. 33, no. 1, pp. 1–21, 1999
  70. State-Space Regularization: Geometric Theory
    Applied Mathematics and Optimization, vol. 37, no. 3, pp. 243–267, 1998
  71. Regularization of linear least squares problems by total bounded variation
    Control, Optimisation and Calculus of Variations, vol. 2, pp. 359–376, 1997
  72. Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems
    SIAM Journal on Control and Optimization, vol. 35, no. 5, p. 1524, 1997
  73. Sequential and Parallel Splitting Methods for Bilinear Control Problems in Hilbert Spaces
    SIAM Journal on Numerical Analysis, vol. 34, no. 1, p. 91, 1997
  74. SIAM Journal on Applied Mathematics, vol. 56, no. 2, Article ID 0156027, 1996
  75. SIAM Journal on Optimization, vol. 6, no. 1, Article ID 0806007, 1996
  76. SIAM Journal on Control and Optimization, vol. 34, no. 3, Article ID 0334039, 1996
  77. Identification of Nonlinear Elliptic Equations
    Applied Mathematics and Optimization, vol. 33, no. 2, pp. 139–167, 1996
  78. SIAM Journal on Control and Optimization, vol. 33, no. 2, Article ID 0333031, 1995
  79. SIAM Journal on Control and Optimization, vol. 32, no. 6, Article ID 0332084, 1994
  80. On the Injectivity and Linearization of the Coefficient-to-Solution Mapping for Elliptic Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 188, no. 3, pp. 1040–1066, 1994
  81. Über eine Klasse gedämpfter Morozov'scher Prinzipien
    Computing, vol. 50, no. 3, pp. 185–198, 1993
  82. A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation
    Applied Mathematics & Optimization, vol. 27, no. 3, pp. 231–260, 1993
  83. Regularization of nonlinear illposed problems with closed operators
    Numerical Functional Analysis and Optimization, vol. 14, no. 3, pp. 389–404, 1993
  84. Mathematical models for the elastic beam with structural damping
    Applicable Analysis, vol. 48, no. 1, pp. 133–156, 1993
  85. SIAM Journal on Numerical Analysis, vol. 30, no. 6, Article ID 0730091, 1993
  86. SIAM Journal on Optimization, vol. 2, no. 3, Article ID 0802019, 1992
  87. SIAM Journal on Numerical Analysis, vol. 29, no. 6, Article ID 0729100, 1992
  88. Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
    Journal of Differential Equations, vol. 99, no. 1, pp. 1–40, 1992
  89. Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented Lagrangian technique
    Numerische Mathematik, vol. 59, no. 1, pp. 473–509, 1991
  90. Stability and identifiability of parameters in Galerkin approximation of distributed systems under multiple inputs
    Optimal Control Applications and Methods, vol. 12, no. 1, pp. 63–71, 1991
  91. Stability of perturbed optimization problems with applications to parameter estimation
    Numerical Functional Analysis and Optimization, vol. 11, no. 9, pp. 873–915, 1991
  92. Identifiability and stability of a two-parameter estimation problem
    Applicable Analysis, vol. 40, no. 4, pp. 263–279, 1991
  93. SIAM Journal on Numerical Analysis, vol. 28, no. 5, Article ID 0728071, 1991
  94. SIAM Journal on Control and Optimization, vol. 28, no. 1, Article ID 0328006, 1990
  95. The augmented lagrangian method for equality and inequality constraints in hilbert spaces
    Mathematical Programming, vol. 46, no. 1-3, pp. 341–360, 1990
  96. An augmented Lagrangian technique for variational inequalities
    Applied Mathematics & Optimization, vol. 21, no. 1, pp. 223–241, 1990
  97. Output least squares stability in elliptic systems
    Applied Mathematics & Optimization, vol. 19, no. 1, pp. 33–63, 1989
  98. On the shape of the solutions of second order parabolic partial differential equations
    Journal of Differential Equations, vol. 75, no. 2, pp. 329–353, 1988
  99. Inherent identifiability of parameters in elliptic differential equations
    Journal of Mathematical Analysis and Applications, vol. 132, no. 2, pp. 453–472, 1988
  100. A review of some recent results on the output least squares formulation of parameter estimation problems,
    Automatica, vol. 24, no. 4, pp. 531–539, 1988
  101. Parameter Estimation, Regularity and the Penalty Method for a Class of Two Point Boundary Value Problems
    SIAM Journal on Control and Optimization, vol. 25, no. 1, p. 100, 1987
  102. Identifiability under Approximation for an Elliptic Boundary Value Problem
    SIAM Journal on Control and Optimization, vol. 25, no. 2, p. 279, 1987
  103. Invariance Results for Delay and Volterra Equations in Fractional Order Sobolev Spaces
    Transactions of the American Mathematical Society, vol. 304, no. 1, p. 1, 1987
  104. Parameter estimation for elliptic equations in multidimensional domains with point and flux observations
    Nonlinear Analysis, vol. 10, no. 2, pp. 121–146, 1986
  105. Nonlinear age-dependent population dynamics with random diffusion
    Computers & Mathematics with Applications, vol. 11, no. 1-3, pp. 155–173, 1985
  106. The Parameter Estimation Problem for Parabolic Equations and Discontinuous Observation Operators
    SIAM Journal on Control and Optimization, vol. 23, no. 6, p. 900, 1985
  107. SIAM Journal on Control and Optimization, vol. 22, no. 5, Article ID 0322043, 1984
  108. L2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
    Journal of Mathematical Analysis and Applications, vol. 102, no. 1, pp. 38–57, 1984
  109. Necessary conditions for partial differential equations with delay to generate -semigroups
    Journal of Differential Equations, vol. 50, no. 1, pp. 49–79, 1983
  110. Cubic spline approximation techniques for parameter estimation in distributed systems
    IEEE Transactions on Automatic Control, vol. 28, no. 7, pp. 773–786, 1983
  111. SIAM Journal on Control and Optimization, vol. 20, no. 4, Article ID 0320038, 1982
  112. SIAM Journal on Control and Optimization, vol. 20, no. 6, Article ID 0320059, 1982
  113. SIAM Journal on Numerical Analysis, vol. 18, no. 6, Article ID 0718072, 1981
  114. Variation of constants formulas for partial differential equations with delay
    Nonlinear Analysis, vol. 5, no. 2, pp. 123–142, 1981
  115. Approximation schemes for nonlinear neutral optimal control systems*1
    Journal of Mathematical Analysis and Applications, vol. 82, no. 1, pp. 112–143, 1981
  116. Mild and strong solutions for partial differential equations with delay
    Annali di Matematica Pura ed Applicata, vol. 125, no. 1, pp. 193–219, 1980
  117. Neutral functional differential equations in Lp-spaces and averaging approximations
    Nonlinear Analysis, vol. 3, no. 4, pp. 419–447, 1979
  118. Abstract Cauchy problem and abstract integral equations for neutral functional differential equations
    Archiv der Mathematik, vol. 31, no. 1, pp. 580–588, 1978