Matthias Heinkenschloss

A short description of the papers, keywords, and AMS subject classifications can be found in the abstracts.

2013

H. Antil, M. Heinkenschloss, and D. C. Sorensen
Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric Systems
Abstract.

2012

M. Bambach, M. Heinkenschloss, and M. Herty
A Method for Model Identification and Parameter Estimation
Inverse Problems, 2013, Vol. 29, No. 2, pages 025009
Abstract.
D. Leykekhman and M. Heinkenschloss
Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
SIAM Journal on Numerical Analysis, 2012, Vol. 50, No. 4, pp. 2012-2038.
Abstract.
"Appendix": Proof of the Local Discretization Error Estimate for the Optimal Control Problem in the Presence of Interior Layers.

H. Antil, M. Heinkenschloss, R. H. W. Hoppe, C. Linsenmann, and A. Wixforth
Reduced Order Modeling Based Shape Optimization of Surface Acoustic Wave Driven Microfluidic Biochips
Mathematics and Computers in Simulation, 2012, Vol. 82, No. 10, pp. 1986 - 2003.
Abstract.

2011

M. Heinkenschloss and D. Ridzal
A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization
CAAM Technical Report TR11-17
Abstract, PDF file.

D. Ridzal, M. Aguilo and M. Heinkenschloss
Numerical study of a matrix-free trust-region SQP method for equality constrained optimization
Sandia National Laboratories Technical Report SAND 2011-9346 (pdf).

M. Heinkenschloss, T. Reis, and A. C. Antoulas
Balanced Truncation Model Reduction for Systems with Inhomogeneous Initial Conditions
Automatica, 2011, Vol. 47, No. 3, pp. 559-564.
Abstract.

H. Antil, M. Heinkenschloss, and R. H. W. Hoppe
Domain Decomposition and Balanced Truncation Model Reduction for Shape Optimization of the Stokes System
Optimization Methods and Software, 2011, Vol. 26, No. 4-5, pp. 643-669.
Abstract.

2010

H. Antil, M. Heinkenschloss, R. H. W. Hoppe, and D. C. Sorensen
Domain Decomposition and Model Reduction for the Numerical Solution of PDE Constrained Optimization Problems with Localized Optimization Variables
Computing and Visualization in Science, Vol. 13, No. 6 (2010) pp. 249-264
Abstract.

T. Reis and M. Heinkenschloss
Model Reduction for a Class of Nonlinear Electrical Circuits by Reduction of Linear Subcircuits
DFG Research Center MATHEON Preprint 702.
Abstract and PDF file available at MATHEON Preprint 702.

M. Heinkenschloss and D. Leykekhman
Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
SIAM Journal on Numerical Analysis, Vol. 47, No. 6 (2010) pp. 4607-4638
Abstract.

2009

T. Reis and M. Heinkenschloss
Model Reduction with A-Priori Error Bounds for a Class of Nonlinear Electrical Circuits
Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. (CDC/CCC 2009). December 2009, pp. 5376-5383.
Abstract and PDF file available at http://dx.doi.org/10.1109/CDC.2009.5400606.

2008

M. Heinkenschloss
Numerical Solution of Implicitly Constrained Optimization Problems
CAAM Technical Report TR08-05 (rev. June 2012, Jan. 2013)
Abstract. Matlab codes. PDF File.

M. Heinkenschloss and D. Ridzal
An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization
In K. Kunisch, O. Steinbach, and G. Of (eds.), Numerical Mathematics And Advanced Applications. EUMATH 2007. Springer-Verlag, Heidelberg, 2008, pp. 613--620.
Abstract.

K.Sun, R. Glowinski, M. Heinkenschloss, and D. C. Sorensen
Domain Decomposition and Model Reduction of Systems with Local Nonlinearities
In K. Kunisch, O. Steinbach, and G. Of (eds.), Numerical Mathematics And Advanced Applications. EUMATH 2007. Springer-Verlag, Heidelberg, 2008, pp. 389--396.
Abstract.

M. Heinkenschloss, D. C. Sorensen, and K. Sun
Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
SIAM Journal on Scientific Computing, Vol 30 (2008), No. 2, pages 1038-1063.
Abstract.

M. Heinkenschloss and D. Ridzal
Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems
In Domain Decomposition Methods in Science and Engineering XVII, U. Langer, M. Discacciati, D. Keyes, O. Widlund, and W. Zulehner (eds.), Lecture Notes in Computational Science and Engineering Vol. 60, Springer-Verlag, Heidelberg, 2008, pp. 69-80.
Abstract. PDF file.

2007

L. T. Biegler, O. Ghattas, M. Heinkenschloss, D. Keyes and B. van Bloemen Waanders (eds.)
Real-Time PDE-Constrained Optimization.
Computational Science and Engineering, Vol. 3, SIAM, Philadelphia, 2007.

M. Heinkenschloss and M. Herty
A Spatial Domain Decomposition Method for Parabolic Optimal Control Problems
Journal of Computational and Applied Mathematics, Vol 201, 2007, pp. 88-111.
Abstract.

2006

R. Bartlett, M. Heinkenschloss, D. Ridzal, and B. van Bloemen Waanders
Domain Decomposition Methods for Advection Dominated Linear-Quadratic Elliptic Optimal Control Problems
Computer Methods in Applied Mechanics and Engineering, Vol. 195 (2006), pages 6428-6447.
Abstract.

M. Heinkenschloss and H. Nguyen
Neumann-Neumann Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
SIAM Journal on Scientific Computing, Vol. 28 (2006), pages 1001-1028.
Abstract.

M. Heinkenschloss and M. Herty
Distributed Solution of Optimal Control Problems Governed by Parabolic Equations
In Robust Optimization: Directed Design, A. J. Kurdila and P. M. Pardalos and M. Zabarankin (eds.), pages 71-90, 2006, Springer-Verlag, Nonconvex Optimization and Its Applications, Vol.~81.
Abstract.

M. Heinkenschloss and R.H.W. Hoppe and V. Schulz:
Numerical Techniques for Optimization Problems with PDE Constraints.
Oberwolfach Report No. 11/2006, OWR Vol. 3. No. 1, European Mathematical Society Publishing House, ISSN 1660-8933, 2006, pp. 585 - 651.

2005

R. Bartlett, M. Heinkenschloss, D. Ridzal, B. van Bloemen Waanders
Domain Decomposition Methods for Advection Dominated Linear-Quadratic Elliptic Optimal Control Problems
Sandia Technical Report 2005-2895.
Abstract, PDF file.
A shortened version is published in Computer Methods in Applied Mechanics and Engineering, Vol. 195 (2006), pages 6428-6447.

F. Abraham, M. Behr and M. Heinkenschloss
Shape Optimization in Unsteady Blood Flow: A Numerical Study of Non-Newtonian Effects
Computer Methods in Biomechanics and Biomedical Engineering, Vol 8 (2005), pp. 201-212.
Abstract.

F. Abraham, M. Behr and M. Heinkenschloss
Shape Optimization in Stationary Blood Flow: A Numerical Study of Non-Newtonian Effects
Computer Methods in Biomechanics and Biomedical Engineering, Vol 8 (2005), pp. 127-137.
Abstract.

M. Heinkenschloss
Time-Domain Decomposition Iterative Methods for the Solution of Distributed Linear Quadratic Optimal Control Problems.
Journal of Computational and Applied Mathematics, Vol 173 (2005), pp. 169-198.
Abstract.

2004

F. Abraham, M. Behr and M. Heinkenschloss
The Effect of Stabilization in Finite Element Methods for the Optimal Boundary Control of the Oseen Equations
Finite Elements in Analysis and Design, Vol. 41 (2004), pp. 229-251.
Abstract

M. Heinkenschloss and H. Nguyen
Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems.
In Proceedings of the 15th International Conference on Domain Decomposition, R. Kornhuber, R. H. W. Hoppe, J. Periaux, O. Pironneau, O. B. Widlund, and J. Xu (eds.), Lecture Notes in Computational Science and Engineering Vol. 40, Springer-Verlag, Heidelberg, 2004, pp. 589-596.
Abstract, PDF file (~125KB).

M. Heinkenschloss and H. Nguyen
Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
CAAM TR04-20, November 2004.
Abstract, PDF file.

2003

S. S. Collis, K. Ghayour and M. Heinkenschloss
Optimal Transpiration Boundary Control for Aeroacoustics
AIAA Journal, Vol. 41, No. 7 (2003), pages 1257-1270.
Abstract.

L. T. Biegler, O. Ghattas, M. Heinkenschloss and B. van Bloemen Waanders
Large-Scale PDE-Constrained Optimization: An Introduction.
In: Large-Scale PDE-Constrained Optimization, L. T. Biegler, O. Ghattas, M. Heinkenschloss and B. van Bloemen Waanders (eds), Lecture Notes in Computational Science and Engineering, Vol. 30, Springer-Verlag, Berlin, Heidelberg, New York, pages 5-15, 2003.

L. T. Biegler, O. Ghattas, M. Heinkenschloss and B. van Bloemen Waanders (eds.)
Large-Scale PDE-Constrained Optimization: An Introduction.
Lecture Notes in Computational Science and Engineering, Vol. 30, Springer-Verlag, Berlin, Heidelberg, New York, 2003.

2002

S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and e. Ulbrich
Optimal Control of Unsteady Compressible Viscous Flows.
International Journal for Numerical Methods in Fluids, Vol. 40 (2002), No. 11, pp. 1401-1429
Abstract.

S. S. Collis, K. Ghayour and M. Heinkenschloss
Optimal Control of Aeroacoustic Noise Generated by Cylinder Vortex Interaction.
International Journal of Aeroacoustics, Vol. 1 (2002), No. 2, pp. 97-114.
Abstract.

S. S. Collis and M. Heinkenschloss
Analysis of the Streamline Upwind/Petrov Galerkin Method Applied to the Solution of Optimal Control Problems
CAAM TR02-01, March 2002.
Abstract, PDF file (~250KB).

S. S. Collis, K. Ghayour and M. Heinkenschloss
Optimal Control of Aeroacoustic Flows: Transpiration Boundary Control
April 2002. (AIAA Paper 2002-2757)
Abstract, PDF file (2.1MB).
Note: Optimal Transpiration Boundary Control for Aeroacoustics is an expanded version of this paper.

M. Heinkenschloss
Optimal Control of Distributed Processes.
In Theme 6.5 Optimization of Operations Research (honorary theme editor U. Derigs) of the Encyclopedia of Life Support Systems (EOLSS), pages 550-570, 2002.

2001

M. Heinkenschloss and L. N. Vicente
Analysis of Inexact Trust-Region SQP Algorithms.
SIAM J. Optimization, Vol. 12 (2001), No. 2, pp. 283-302.
Abstract.

S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and S. Ulbrich
Towards Adjoint-Based Methods for Aeroacoustic Control
November 2000. (AIAA Paper 2001-0821)
Abstract, PDF file (3142kB).

S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and S. Ulbrich
Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equations
In: Optimal Control of Complex Structures, K.-H. Hoffmann and I. Lasiecka, G. Leugering, J. Sprekels, F. Tröltzsch (eds.), Birkhäuser Verlag, International Series of Numerical Mathematics, Vol. 139, 2001, pages 43-55.
Abstract.

M. Heinkenschloss
SQP Interior-Point Methods for Distributed Optimal Control Problems
Encyclopedia of Optimization, C. A. Floudas and P. M. Pardalos(eds.) Kluwer Academic Publishers, 2001

2000

M. D. Gunzburger, M. Heinkenschloss, and H. Kwon Lee
Solution of Elliptic Partial Differential Equations by an Optimization-Based Domain Decomposition Method.
Applied Mathematics and Computation, Vol. 113 (2000) pp. 111-139.
Abstract.

1999

M. Heinkenschloss, M. Ulbrich, and S. Ulbrich
Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption.
Mathematical Programming, Vol 86 (1999), No. 3, pp. 615-635.
Abstract.

M. Heinkenschloss and L. N. Vicente
An Interface Between Optimization and Application for the Numerical Solution of Optimal Control Problems.
ACM Transactions on Mathematical Software, Vol. 25 (1999), pp. 157-190
Abstract.

M. Ulbrich, S. Ulbrich, and M. Heinkenschloss
Global Convergence of Trust-Region Interior-Point Algorithms for Infinite-Dimensional Nonconvex Minimization Subject to Pointwise Bounds.
SIAM J. Control and Optimization, Vol. 37, No. 3 (1999) pages 731-764.
Abstract.

M. Heinkenschloss and F. Tröltzsch
Analysis of the Lagrange-SQP-Newton Method for the Control of a Phase Field Equation.
Control and Cybernetics, Vol.28 (1999) No.2, pp.177-211.
Abstract, PDF file (255kB).

1998

A. R. Shenoy, M. Heinkenschloss, and E. M. Cliff
Airfoil Design by an All-At-Once Method.
International Journal for Computational Fluid Mechanics, Vol. 11 (1998) pp. 3-25.
Abstract.

J. E. Dennis, M. Heinkenschloss, and L. N. Vicente
Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems.
SIAM J. Control and Optimization, Vol. 36, No. 5 (1998), pp. 1750-1794.
Abstract.

M. Heinkenschloss
A Trust Region Method for Norm Constrained Problems.
SIAM Journal on Numerical Analysis, Vol. 35, No. 4 (1998) pp. 1594-1620.
Abstract.

E. M. Cliff, M. Heinkenschloss, and A. R. Shenoy
Adjoint-Based Methods in Aerodynamic Design-Optimization.
In: J. Borggaard, J. Burns, E. Cliff and S. Schreck (eds.), Computational Methods for Optimal Design. Proceedings of the AFSOR Workshop on Optimal Design and Control, Arlington, VA, 30. September - 3. October 1997. Birkhäuser Verlag, Progress in Systems and Control Theory, Basel, Boston, Berlin, 1998.
Abstract.

M. Heinkenschloss, M. B. Hribar, and M. Kokkolaras
Acceleration of Multidisciplinary Analysis Solvers by Inexact Subsystem Simulations.
April 1998. (AIAA Paper 98-4712)
Abstract, PDF file (175kB).

M. Heinkenschloss
Formulation and Analysis of a Sequential Quadratic Programming Method for the Optimal Dirichlet Boundary Control of Navier-Stokes Flow
In: W. W. Hager and P. M. Pardalos (eds.). Optimal Control: Theory, Algorithms, and Applications. Kluwer Academic Publishers B.V., 1998, pp. 178-203.
Abstract.

1997

M. Heinkenschloss
The Numerical Solution of a Control Problem Governed by a Phase Field Model.
Optimization Methods and Software, Vol. 7 (1997) pp. 211-263.
Abstract.

E. M. Cliff, M. Heinkenschloss, and A. R. Shenoy
An Optimal Control Problem for Flows with Discontinuities.
Journal of Optimization Theory and Applications, Vol. 94 (1997) pp.273-309.
Abstract, PDF file (297kB).

M. Berggren and M. Heinkenschloss
Parallel Solution of Optimal-Control Problems by Time-Domain Decomposition
In: M-O. Bristeau, G. Etgen, W. Fitzgibbon, J. L. Lions, J. Periaux, and M. F. Wheeler (eds.). Computational Science for the 21st Century. J. Wiley, Chichester, 1997, pp. 102-112.
Abstract, PDF file 220KB

A. Battermann and M. Heinkenschloss
Preconditioners for Karush-Kuhn-Tucker Matrices Arising in the Optimal Control of Distributed Systems
In: W. Desch, F. Kappel, K. Kunisch (eds.), Optimal Control of Partial Differential Equations, Vorau 1997, Birkhäuser Verlag, Basel, Boston, Berlin, 1998, pp. 15-32.
Abstract.

M. Heinkenschloss
Optimization of Dynamical Systems
Lecture Notes, Summer School on Continuous Optimization Technical University Hamburg-Harburg, 57 pages, Germany, September 22 - 26, 1997.

1996

M. Heinkenschloss
Projected Sequential Quadratic Programming Methods.
SIAM Journal on Optimization, Vol. 6 (1996) pp. 373-417.
Abstract.

E. M. Cliff, M. Heinkenschloss, and A. R. Shenoy
On the Optimality System for a 1-D Euler Flow Problems
September 1996. (AIAA Paper 96-3993)
Abstract, PDF file (117kB).

Ajit R. Shenoy, Eugene M. Cliff, and M. Heinkenschloss
Thermal-Fluid Control via Finite-Dimensional Approximation.
April 1996. (AIAA Paper 96-1910)
Abstract, PDF file (645kB).

1995

M. Heinkenschloss and L. N. Vicente
Analysis of Inexact Trust-Region Interior-Point SQP Algorithms.
June 1995 (revised April 1996).
Abstract, PDF file (235kB).

1994

M. Heinkenschloss
On the Solution of a Two Ball Trust-Region Subproblem.
Math. Programming, Vol. 64 (1994) pp. 249-276.

M. Heinkenschloss and E.W. Sachs
Numerical Solution of a Constrained Control Problem for a Phase Field Model.
In W. Desch and F. Kappel and K. Kunisch, eds., Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena, Birkhäuser Verlag, Basel, Boston, Berlin, 1994, pp. 171-187.

1993

M. Heinkenschloss
Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints.
SIAM Journal on Optimization, Vol. 3 (1993) pp. 81-117.

1992

M. Heinkenschloss, C. T. Kelley, and H. Tran
Fast Algorithms for Nonsmooth Compact Fixed Point Problems.
SIAM Journal on Numerical Analysis, Vol. 29 (1992) pp. 1769-1792.

1991

M. Heinkenschloss
Gauss-Newton Methods for Infinite Dimensional Least Squares Problems with Norm Constraints
Ph.D. Thesis, Universität Trier, Germany, September 1991, 120 pages.

1990

M. Heinkenschloss, M. Laumen, and E. W. Sachs
Gauss-Newton Methods with Grid Refinement.
In: W. Desch, F. Kappel, K. Kunisch, eds., Optimal Control of Partial Differential Equations, Vorau 1990, Birkhäuser Verlag, Basel, Boston, Berlin, 1991, pp. 161-174.

1989

M. Heinkenschloss and E. W. Sachs
The Role of Growth Rates for Gauss-Newton Methods and Parameter Identification Problems.
In: Fifth Symposium on Control of Distributed Parameter Systems, A. El Jai and M. Amouroux, eds., 1989, pp. 79-84.