On this page you find recent publications of our research group. Some papers are available in PS or PDF format. If you are interested in reports that are not availabel from this page please contact one of the authors.

Goto the reports/publications: submitted, 2004, 2003, 2002.


submitted:

  • A. Borzi, R. Griesse: Distributed optimal control of lambda-omega systems, submitted. PS
  • A. Borzi, R. Griesse: On the optimal control of chemical turbulence, submitted.
  • A. Borzi, K. Kunisch, A simple globalization strategy for the multigrid solution of optimal control problems, submitted
  • A. Borzi, K. Kunisch, A multigrid scheme for elliptic constrained optimal control problems, submitted.
  • J. C. de los Reyes, K. Kunisch: A semi-smooth Newton method for control constrained optimal control of the Navier Stokes equations, submitted.
  • J. C. de los Reyes, K. Kunisch: A comparison of algorithms for control constrained optimal control of the Burgers equation, submitted.
  • J. Ferchichi, J.P. Zolesio, Study of the Norton-Hoff flow with thermal effects , submitted.
  • R. Griesse: Lipschitz Stability of Solutions to Some State-Constrained Elliptic Optimal Control Problems, submitted. PDF
  • R. Griesse, S. Volkwein: A nonlinear primal-dual active set strategy for optimal boundary control of a reaction-diffusion system, submitted. PDF
  • M. Hintermüller, M. Hinze: A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier-Stokes system subject to control constraints, submitted.
  • D. Hömberg, S. Volkwein, W. Weiss Optimal control strategies for the surface hardening of steel, submitted.
  • M. Hintermüller, L. Vicente: Space mapping for optimal control of partial differential equations, submitted.
  • M. Hintermüller, V. A. Kovtunenko, K. Kunisch: Semi-smooth Newton methods for a class of unilaterally constrained variational problems, submitted.
  • M. Hintermüller, V. A. Kovtunenko, K. Kunisch: Generalized Newton methods for constrained crack problems, submitted.
  • K. Ito, K. Kunisch: Receding horizon control with incomplete observations, submitted.
  • K. Ito, K. Kunisch, G. Peichl: On the shape derivative for a quadratic cost functional, submitted.
  • T. Kärkkäinen, K. Kunisch, K. Majava: Denoising using L1-fitting, submitted.
  • S.L. Keeling, R. Bammer, T. Kogler, R. Stollberger: On the Convolution Model of Dynamic Contrast Enhanced Magnetic Resonance Imaging and Nonparametric Deconvolution Approaches, submitted to Mathematical Biosciences, (2004). PDF
  • V. A. Kovtunenko: Nonconvex problem for crack with nonpenetration, submitted.
  • V. A. Kovtunenko: Interface cracks in composite orthotropic materials and their delamination via global shape optimization, submitted.
  • V. A. Kovtunenko, K. Kunisch, W. Ring: Perturbation and motion of cracks based on level sets and velocities, submitted.
  • K. Kunisch, Y. Spasov: Dynamical system based optimal control of incompressible fluids. Boundary control, submitted.
  • K. Kunisch, G. Stadler: Generalized Newton methods for the Signorini contact problem with friction, submitted.
  • K. Kunisch, L. Xie: POD-Based Feedback Control of the Burgers Equation by Solving the Evolutionary HJB Equation, submitted.
  • K. Kunisch, L. Xie: Suboptimal feedback control of flow separation by POD Model Reduction, submitted.
  • K. Kunisch, S. Volkwein, L. Xie: HJB-POD Based Feedback Design for the Optimal control of Evolution Problems, submitted.
  • F. Leibfritz, S. Volkwein: Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming, submitted.
  • G. Propst, A. Borzì: Numerical Investigation of periodically excited valveless pumping, to appear in Proceedings of Euroattractor 2002.
  • S. Volkwein: A globalized SQP method for the optimal control of laser surface hardening, submitted.
  • S. Volkwein: Optimal control of laser surface hardening by utilizing a nonlinear primal-dual active set strategy, submitted.

2004 or accepted:

  • A. Borzì, G. Borzì: An efficient algebraic multigrid method for solving optimality systems, EMG 2002, Hohenwart Forum, to appear in Comput. Visual. in Science.
  • P. Bartsch, A. Borzì: On the Modeling and Simulation of Boundary Flow Through Partially Open Pipe Ends, to appear in ZAMP.
  • M. Burger, B. Hackl, W. Ring: Incorporating topological derivatives into level sets methods, Journal of Computational Physics, 194/1, 344-362 (2004).
  • S. Chaabane, C. Elhechmi, M. Jaoua: A stable recovery algorithm for the Robin inverse problem, IMACS, J. Math. Comput. Simul. to appear, (2004).
  • S. Chaabane, I. Fellah, M. Jaoua, J. Leblond: Logarithmic stability estimates for a Robin coe?cient in 2D Laplace inverse problems, Inverse Problems. 20, 47{59, (2004).
  • S. Chaabane, J. Ferchichi, K. Kunisch: Differentiability properties of the L1-tracking functional and application to the Robin inverse Problem, to appear in Inverse Problems.
  • J. Ferchichi and J.P. Zolesio: Shape sensitivity for the Laplace-Beltrami operator with singularities. Journal of Differential Equations, JDEQ02/149, 196, 340{384, (2004).
  • R. Griesse: Parametric Sensitivity Analysis in Optimal Control of a Reaction-Diffusion System: Part I: Solution Differentiability, Numerical Functional Analysis and Optimization 25, 93-117, (2004). PS
  • R. Griesse: Parametric Sensitivity Analysis in Optimal Control of a Reaction-Diffusion System: Part II: Practical Methods and Examples, Optimization Methods and Software (to appear) (2004). PS
  • R. Griesse, A. Walther: Using AD-Generated Derivatives in Optimal Control of an Industrial Robot, Progress in Industrial Mathematics at ECMI 2002, 127 -132, Springer (2004). PS
  • J. Haslinger, T. Kozubek, K. Kunisch, G. Peichl: An embedding domain approach for a class of 2-d shape optimization problems: mathematical analysis, J. Math. Anal. Appl. 290, 665-685, (2004).
  • M. Hinze, K. Kunisch: Second order methods for boundary control of the instationary Navier-Stokes system, Zeitschrift für Angewandte Mathematik und Mechanik, 84, 171-187, (2004).
  • U. Hohenester, G. Stadler: Quantum control of electron-phonon scatterings in artificial atoms, to appear in Physical Review Letters.
  • M. Hintermüller, K. Kunisch: Total bounded variation regularization as bilaterally constrained optimization problems, to appear in SIAM J. Appl. Mathematics.
  • M. Hintermüller, K. Kunisch, Y. Spasov, S. Volkwein: Dynamical system based optimal control of incompressible fluids, to appear in International Journal for Numerical Methods in Fluids.
  • M. Hintermüller, V. A. Kovtunenko, K. Kunisch: The primal-dual active set method for a crack problem with non-penetration, IMA Journal of Applied Mathematics, 69, 1-26, (2004).
  • M. Hintermüller, W. Ring: A level set approach for the solution of a state-constrained optimal control problem, to appear in "Numerische Mathematik" (2004).
  • M. Hintermüller, W. Ring: An Inexact Newton-CG-Type Active Contour Approach for the Minimization of the Mumford-Shah Functional, Journal of Mathematical Imaging and Vision 20 No 1, 19-42, (2004).
  • M. Hintermüller, M. Ulbrich: A mesh independence result for semismooth Newton methods, to appear in Mathematical Programming, (2004).
  • K. Ito, K. Kunisch: The primal-dual active set method for nonlinear optimal control problems with bilateral constraints, to appear in SIAM J. on Control and Optimization.
  • S.L. Keeling, W. Ring: Medical Image Registration and Interpolation by Optical Flow with Maximal Rigidity, to appear in Journal of Mathematical Imaging and Vision. PS
  • S.L. Keeling, R. Bammer: A Variational Approach to Magnetic Resonance Coil Sensitivity Estimation, accepted by Applied Mathematics and Computation. PS
  • G. Stadler: Semi-smooth Newton and augmented Lagrangian methods for a simplified friction problem, SIAM Journal on Optimization, to appear. PDF
  • S. Volkwein: Nonlinear conjugate gradient methods for the optimal control of laser surface hardening, Optimization Methods and Software, 19:179-199, 2004.
  • J. Wimmer, F. Kappel, S. Volkwein, B. Haditsch, H. Holzer, D. Schneditz: On-line identification of hemodynamic variables by dilution of ultra-pure dialysate during hemodialysis, Cardiovascular Engineering, 4:39-46, 2004.


2003:

  • A. Borzi, G. Propst: Numerical investigation of the Liebau phenomenon, ZAMP 54, 1-23, (2003).
  • A. Borzì, G. Borzì: An algebraic multigrid method for a class of elliptic differential systems, SIAM J. Sci. Comp. 25(1), 302-323, (2003).
  • A. Borzì: Multigrid methods for parabolic distributed optimal control problems, J. Comp. Appl. Math, 157 (2003), 365-382.
  • A. Borzi, K. Kunisch, D.Y. Kwak: Accuracy and convergence properties of the finite difference multigrid solution of an optimal control optimality system, SIAM J. Control Opt., 41(5), 1477-1497, (2003).
  • S. Chaabane, J. Ferchichi, K. Kunisch, Differentiability of the L1-tracking functional linked to the Robin inverse problem, C. R. Acad. Sci. Paris. I337, 771-776 (2003).
  • S. Chaabane, J. Ferchichi, K. Kunisch: Differentiability of the L1-tracking functional linked to the Robin inverse problem, 21st IFIP TC 7 Conference on System Modeling and Optimization Sophia Antipolis, France, July 21-25, (2003).
  • S. Chabaane, J. Ferchichi, K. Kunisch: Optimal vortices control in Navier-Stokes Flows 21st IFIP TC 7 Conference on System Modeling and Optimization Sophia Antipolis, France, July 21-25, (2003).
  • S. Chaabane, M. Jaoua, J. Leblond: Parameter identification for Laplace equation and approximation in analylitic classes, J. Inv. Ill-posed problems. 11(1), 1-25, (2003).
  • J. Haslinger, T. Kozubek, K. Kunisch, G. Peichl: Shape optimization and fictitions domain approach for solving free-boundary value problems of Bernoulli type, Comp. Optimization and Applications, 26, 231-251, (2003).
  • W. Hinterberger, M. Hintermüller, K. Kunisch, M. V. Oehsen, O. Scherzer: Tube methods for BV regularization, J. Math. Imaging and Vision, 19, 219-236, (2003).
  • M. Hintermüller: A primal-dual active set algorithm for bilaterally control constrained optimal control problems, Quarterly of Applied Mathematics, LXI, 131-161, (2003).
  • M. Hintermüller, G. Stadler: A semi-smooth Newton methods for linear-quadratic control problems, Zeitschrift für angewandte Mathematik und Mechanik (ZAMM) 83-4, 219 - 237, (2003). PDF
  • M. Hintermüller, W. Ring: Numerical Aspects of a Level Set Based Algorithm for State Constrained Optimal Control Problems, Computer Assisted Mechanics and Eng. Sci. 3, (2003).
  • M. Hintermüller, W. Ring: A Second Order Shape Optimization Approach for Image Segmentation, SIAM Journal on Applied Mathematics 64 No 2, 442-467, (2003).
  • D. Hömberg, S. Volkwein: Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition, Mathematical and Computer Modelling 38, 1003-1028, (2003).
  • D. Hömberg, S. Volkwein: Laser surface hardening using proper orthogonal decomposition for a three-dimensional example, PAMM Proc. Appl. Math. Mech., 3, 1-4, 2003.
  • M.Hintermüller, K. Ito, K. Kunisch: The primal-dual active set strategy as a semi-smooth Newton method, SIAM Journal on Optimization, 13, 865-888, (2003).
  • J. Hasliger, T. Kozubek, K. Kunisch, G. Peichl: Shape optimization and fictitions domain approach for solving free-boundary value problems of Bernoulli type, Comp. Optimization and Applications, 26, 231-251, (2003).
  • K. Ito, K. Kunisch: Semi-smooth Newton methods for state-constrained optimal control problems, Systems and Control Letters, 50, 221-228, (2003).
  • K. Kunisch, F. Rendl: An Infeasible Active Set Method for Convex Problems with Simple Bounds, SIAM Journal on Optimization, 14, 35-52, (2003).
  • T. Karkkainen, K. Kunisch, P. Tarvainen, Primal-Dual Active set Methods for Obstacle Problems, J. Optimization Theory and Appl., 119, 499-533, (2003).
  • S.L. Keeling: Total Variation Based Convex Filters for Medical Imaging, Applied Mathematics and Computation, 139, 101-119, (2003).PS
  • S. Volkwein: Lagrange-SQP techniques for the control constrained optimal boundary control problems for the Burgers equation, Computational Optimization and Applications 26, 253-284, (2003).

2002:

  • R. Bammer, M. Auer, S.L. Keeling, M. Augustin, L.A. Stables, R.W. Prokesch, R. Stollberger, M.E. Moseley and F. Fazekas: Diffusion Tensor Imaging Using Single-Shot SENSE-EPI, Magnetic Resonance in Medicine, 48, No. 1, 128-136, July (2002).
  • M. Bergounioux, K. Kunisch: Primal-Dual Active Set Strategy for State Constrained Optimal Control Problems, Computational Optimization and Applications, 22, 193-224, (2002).
  • M. Bergounioux, K. Kunisch: On the structure of the Lagrange multiplier for state-constrained optimal control problems, Systems and Control Letters, 48, 16-176, (2002).
  • A. Borzi, K. Ito, K. Kunisch: Optimal control formulation for determining optical flow, SIAM J. Sci. Comp. 24(3), 818-847, (2002).
  • A. Borzi, K. Ito, K. Kunisch: An optimal control approach to optical flow computation, Int. J. Numer. Meth. Fluids. 40, 231-240, (2002).
  • A. Borzi, G. Stadler, U. Hohenester: Optimal quantum control in nanostructures: Theory and application to generic three-level systems, Phys. Rev. A, 66, 053811 (2002). PS
  • A. Borzì: Fast multigrid methods for parabolic optimal control problems, Proceedings of 18-th GAMM Seminar Leipzig 2002.
  • B. Brandstätter, C. Magele, W. Ring: A Full Step Newton Method for the Solution of a Nonlinear Magnetostatic Optimization Problem, IEEE Trans. Magn. 38, issue 2, part 3, (2002).
  • G. Chavent, K. Kunisch: The output least squares identifability of the diffusion coeffcient from an H1 - observation in a 2-D elliptic equation, ESAIM, Control, Optimization and Calculus of Variations, 8, 423-440, (2002).
  • M. Hintermüller, M. Hinze: Globalization of SQP-methods in control of the instationary Navier-Stokes equations, Mathematical Modelling and Numerical Analysis, 36, 725-746, (2002).
  • M. Hinze, S. Volkwein: Analysis of instantaneous control for the Burgers equation, Nonlinear Analysis 50, 1-26, (2002).
  • K. Ito, K. Kunisch: Receding horizon control for infinite dimensional systems, ESAIM, Control, Optimization and Calculus of Variations, 8, 741-760, (2002).
  • K. Ito and K. Kunisch, Semi-smooth Newton methods for variational inequalities of the first kind, Mathematical Modelling and Numerical Analysis, 37, 41-62, (2002).
  • K. Ito, K. Kunisch, G Peichl: On the Regularization and the Numerical Treatment of the Inf-Sup Condition for Saddle Point Problems, Computational and Applied Mathematics, 21, 245-274, (2002).
  • K. Ito, K. Kunisch, G. Peichl: On the Regularization and the Numerical Treatment of the Inf-Sup Condition for Saddle Point Problems, Computational and Applied Mathematics, 21, 245-274, (2002).
  • K. Kunisch, A. Rösch: Primal-Dual Strategy for Constrained Parabolic Optimal Control Problems, SIAM Journal on Optimization, 13, 321-334, (2002).
  • K. Kunisch, S. Volkwein: Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics, SIAM Journal on Numerical Analysis 40, 492{515, (2002).
  • K. Kunisch, S. Volkwein: Crank-Nicolson Galerkin proper orthogonal decomposition approximations for a general equation in fluid dynamics, Proceedings of the 18th GAMM Seminar on Multigrid and related methods for optimization problems, (2002).
  • S.L. Keeling, R. Stollberger: Nonlinear Anisotropic Diffusion Filters for Multiscale Edge Enhancement, Inverse Problems, 18, 175-190, January 2002. PS
  • E. W. Sachs, S. Volkwein: Augmented Lagrange-SQP methods with Lipschitz- continuous Lagrange multiplier updates, SIAM Journal on Numerical Analysis 40, 233-253, (2002).
  • S. Volkwein, M. Weiser: Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods, SIAM Journal on Control and Optimization 41, 875-899, (2002).
  • S. Volkwein: Mesh independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates, Optimization Methods and Software 17, 77-111, (2002).


    last changed: 4/30/2004