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Matthias Heinkenschloss

Noah Harding Chair and Professor, Computational Applied Mathematics & Operations Research

 

Contact Information

Matthias Heinkenschloss
Department of Computational Applied Mathematics & Operations Research
Rice University
MS-134
6100 Main Street
Houston, Texas 77005-1827

heinken _at_ rice.edu
cmor-faculty.rice.edu/~heinken
Phone: 713-348-5176
Fax: 713-348-5318

Office: Duncan Hall, Room 3088
Maps-Directions

Publications



  • J. R. Cangelosi and M. Heinkenschloss and J. T. Needels and J. J. Alonso
    Simultaneous Design and Trajectory Optimization for Boosted Hypersonic Glide Vehicles.
    Paper AIAA 2024-0375. 2024 AIAA Science and Technology Forum and Exposition (AIAA SciTech Forum). DOI:10.2514/6.2024-0375.
    Abstract bibtex
  • D. S. Grundvig and M. Heinkenschloss
    Line-Search Based Optimization using Function Approximations with Tunable Accuracy.
    Technical Report (submitted for publication). PDF.
    Abstract bibtex
  • M. Heinkenschloss and N. J. Kroeger
    A New Diagonalization Based Method for Parallel-in-Time Solution of Linear-Quadratic Optimal Control Problems.
    Technical Report (submitted for publication). PDF.
    Abstract bibtex
  • A. N. Diaz and Y. Choi and M. Heinkenschloss
    Nonlinear-manifold reduced order models with domain decomposition.
    Proceedings of the NeurIPS 2023 Workshop: Machine Learning and the Physical Sciences as part of the 37th International Conference on Neural Information Processing Systems (NeurIPS 2023). Also available as arXiv:2312.00713 DOI:10.48550/arXiv.2312.00713.
    Abstract bibtex
  • A. N. Diaz and I. V. Gosea and M. Heinkenschloss and A. C. Antoulas
    Interpolation-Based Model Reduction of Quadratic-Bilinear Dynamical Systems with Quadratic-Bilinear Outputs.
    Advances in Computational Mathematics, 2023, Vol. 49, Article Number 95, DOI:10.1007/s10444-023-10096-2.
    Abstract bibtex
  • M. Heinkenschloss and C. Magruder
    Reduced Order Model Hessian Approximations in Newton Methods for Optimal Control.
    Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of the 70th Birthday of Thanos Antoulas, C. A. Beattie, P. Benner, M. Embree, S. Gugercin, and S. Lefteriu (eds.), Springer International Publishing, 2022, pp. 225-239. DOI:10.1007/978-3-030-95157-3_18.
    Abstract bibtex
  • A. N. Diaz and M. Heinkenschloss
    Towards Data-Driven Model Reduction of the Navier-Stokes Equations using the Loewner Framework.
    Active Flow and Combustion Control 2021, R. King and D. Peitsch (eds.), Springer International Publishing, 2022, pp. 225-239. DOI:10.1007/978-3-030-90727-3_14.
    Abstract bibtex
  • R. Herzog, M. Heinkenschloss, D. Kalise, G. Stadler, and E. Trélat (eds.)
    Optimization and Control for Partial Differential Equations: Uncertainty Quantification, Open and Closed-Loop Control, and Shape Optimization. Volume 29 in the series Radon Series on Computational and Applied Mathematics. De Gruyter, Berlin, 2022 DOI: 10.1515/9783110695984 .
    Abstract bibtex
  • L. C. K. Biasi, F. R. M. Batista, R. J. Zemp, A. L. R. Romano, M. Heinkenschloss, and A. J. A. Meirelles
    Parastillation and metastillation applied to bioethanol and neutral alcohol purification with energy savings.
    Chemical Engineering and Processing - Process Intensification, 2021, Vol. 162, pages 108334
    DOI:10.1016/j.cep.2021.108334.
    Abstract bibtex
  • A. C. Antoulas and I. V. Gosea and M. Heinkenschloss
    Model Reduction of Semi-Explicit DAEs Using the Loewner Framework.
    Progress in Differential-Algebraic Equations II, T. Reis and S. Grundel and S. Schöps (eds.), Springer International Publishing, 2020, pp. 185--210.
    DOI:10.1007/978-3-030-53905-4_7.
    Abstract bibtex
  • L. C. K. Biasi, M. Heinkenschloss, F. R. M. Batista, R. J. Zemp, A. L. R. Romano, and A. J. A. Meirelles
    A New Unified Model to Simulate Columns With Multiple Phase Divisions and Their Impact on Energy Savings.
    Computers & Chemical Engineering, 2020, Vol. 140, pages 106937
    DOI:10.1016/j.compchemeng.2020.106937.
    Abstract bibtex
  • M. Heinkenschloss, B. Kramer, and T. Takhtaganov
    Adaptive Reduced-Order Model Construction for Conditional Value-at-Risk Estimation.
    SIAM/ASA Journal on Uncertainty Quantification, 2020, Vol. 8 (2), pages 668-692
    DOI:10.1137/19M1257433.
    Abstract   
    PDF bibtex
  • P. Benner, M. Heinkenschloss, J. Saak, and H. K. Weichelt
    Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method .
    Applied Numerical Mathematics, 2020, Vol. 152, pages 338--354
    DOI: 10.1016/j.apnum.2019.11.016 .
    Abstract bibtex
  • M. Heinkenschloss, B. Kramer, T. Takhtaganov, and K. Willcox
    Conditional-Value-at-Risk Estimation via Reduced-Order Models
    SIAM/ASA Journal on Uncertainty Quantification, 2018, Vol. 6 (4), pages 1395-1423
    DOI:10.1137/17M1160069 .
    Abstract   
    PDF, PDF Supplement bibtex
  • A. C. Antoulas and I. V. Gosea and M. Heinkenschloss
    On the Loewner Framework for Model Reduction of Burgers' Equation
    Active Flow and Combustion Control 2018, Rudibert King (ed.), Springer Verlag, 2018. DOI:10.1007/978-3-319-98177-2_16 .
    Abstract bibtex
  • M. Heinkenschloss and D. Jando
    Sequential Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls
    W. Keiper and A. Milde and S. Volkwein (eds.), Reduced-Order Modeling (ROM) for Simulation and Optimization, Springer Verlag, 2018, pages 73-98.
    DOI:10.1007/978-3-319-75319-5_4 .
    Abstract bibtex
  • M. Heinkenschloss and D. Jando
    Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls
    SIAM Journal on Scientific Computing, 2018, Vol. 40 (1), pages A22-A51.
    DOI:10.1137/16M1109084 .
    Abstract bibtex
  • H. Antil, S. Hardesty, and M. Heinkenschloss
    Shape Optimization of Shell Structure Acoustics
    SIAM Journal on Control and Optimization, 2017, Vol. 55 (3), pages 1347-1376.
    DOI:10.1137/16M1070633 .
    Abstract bibtex
  • H. Antil, S. Hardesty, and M. Heinkenschloss
    Supplementary Materials: Shape Optimization of Shell Structure Acoustics
    Technical Report PDF.
    Abstract bibtex
  • X. Deng and M. Heinkenschloss
    A Parallel-in-Time Gradient-Type Method for Discrete Time Optimal Control Problems
    Technical Report PDF.
    Abstract bibtex
  • P. Benner, M. Heinkenschloss, J. Saak, and H. K. Weichelt
    Inexact Low-rank Newton-ADI Method for Large-scale Algebraic Riccati Equations
    Applied Numerical Mathematics, 2016, Vol. 108, pages 125–142.
    DOI: 10.1016/j.apnum.2016.05.006.
    Abstract bibtex
  • D. P. Kouri, M. Heinkenschloss, D. Ridzal, and B. G. van Bloemen Waanders
    Inexact Objective Function Evaluations in a Trust-Region Algorithm for PDE-Constrained Optimization under Uncertainty
    SIAM Journal on Scientific Computing, 2014, Vol. 36, No. 6, pages A3011-A3029.
    DOI: 10.1137/140955665.
    Abstract bibtex
  • M. Heinkenschloss and D. Ridzal
    A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization
    SIAM Journal on Optimization, 2014, Vol. 24, No. 3, pp.1507-1541.
    DOI:10.1137/130921738.
    Abstract bibtex
  • H. Antil, M. Heinkenschloss, and D. C. Sorensen
    Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric Systems
    A. Quarteroni and G. Rozzas (eds.), Reduced Order Methods for Modeling and Computational Reduction, Model. Simul.& Appl. Vol. 9, 2014, pp. 101-136, Springer Italia, Milan.
    DOI:10.1007/978-3-319-02090-7_4.
    Abstract bibtex
  • D. P. Kouri, M. Heinkenschloss, D. Ridzal, and B. G. van Bloemen Waanders
    A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
    SIAM Journal on Scientific Computing, 2013, Vol. 35, No. 4, pp. A1847-A1879.
    DOI:10.1137/120892362.
  • E. Ketelaer and V. Heuveline, and M. Heinkenschloss
    Parallel solvers for flow control based on domain decomposition
    Proceedings in Applied Mathematics and Mechanics (PAMM), 2013, Vol. 13, No. 1, pp. 395-396.
    DOI:10.1002/pamm.201310193.
  • M. Bambach, M. Heinkenschloss, and M. Herty
    A Method for Model Identification and Parameter Estimation
    Inverse Problems, 2013, Vol. 29, No. 2, pages 025009.
    DOI:10.1088/0266-5611/29/2/025009.

  • 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.
    DOI:10.1137/110826953.

    "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.
    DOI:10.1016/j.matcom.2010.10.027.
  • L. Biegler, G. Biros, O. Ghattas, M. Heinkenschloss, D. Keyes, B. Mallick, Y. Marzouk, L. Tenorio, B. van Bloemen Waanders, and K. Willcox (eds.)
    Large-Scale Inverse Problems and Quantification of Uncertainty
    John Wiley & Sons, Ltd, Chichester, 2011
    DOI: 10.1002/9780470685853.
  • 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.
    DOI:10.1016/j.automatica.2010.12.002.
  • 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.
    DOI:10.1080/10556781003767904.
  • 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.
    DOI: 10.1007/s00791-010-0142-4.
  • 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. (pdf).
  • 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.
    DOI: 10.1137/090759902.
  • 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.
    DOI: 10.1109/CDC.2009.5400606.
  • 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.
    DOI: 10.1007/978-3-540-69777-0_73.
  • 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.
    DOI:10.1007/978-3-540-69777-0_46 .
  • 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.
    DOI: 10.1137/070681910.
  • 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.
    DOI: 10.1007/978-3-540-75199-1_6.
  • 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.
    DOI: 10.1137/1.9780898718935.
  • 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.
    DOI: 10.1016/j.cam.2006.02.002.
  • 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.
    DOI: 10.1016/j.cma.2006.01.009.
  • 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.
    DOI: 10.1137/040612774.
  • 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.), Springer-Verlag, Nonconvex Optimization and Its Applications, Vol.~81, pages 71-90, 2006
    DOI: 10.1007/0-387-28654-3_4.
  • 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.
  • 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.
    DOI: 10.1080/10255840500309562.
  • 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.
    DOI: 10.1080/10255840500180799
  • 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.
    DOI: 10.1016/j.cam.2004.03.005.
  • 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.
    DOI: 10.1016/j.finel.2004.06.001.
  • 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.
    DOI: 10.1007/3-540-26825-1_62.
  • M. Heinkenschloss and H. Nguyen
    Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
    CAAM TR04-20, November 2004.
    Abstract, PDF file.
  • S. S. Collis, K. Ghayour and M. Heinkenschloss
    Optimal Transpiration Boundary Control for Aeroacoustics
    AIAA Journal, Vol. 41, No. 7 (2003), pages 1257-1270.
    DOI: 10.2514/2.2094.
  • 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.
    DOI: 10.1007/978-3-642-55508-4_1.
  • 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. DOI: 10.1007/978-3-642-55508-4.
  • S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and S. Ulbrich
    Optimal Control of Unsteady Compressible Viscous Flows.
    International Journal for Numerical Methods in Fluids, Vol. 40 (2002), No. 11, pp. 1401-1429.
    DOI: 10.1002/fld.420
  • 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.
    DOI: 10.1260/147547202760236923
  • 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)
    DOI: 10.2514/6.2002-2757
  • 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.

  • M. Heinkenschloss and L. N. Vicente
    Analysis of Inexact Trust-Region SQP Algorithms.
    SIAM J. Optimization, Vol. 12 (2001), No. 2, pp. 283-302.
    DOI: 10.1137/S1052623499361543.
  • 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)
    DOI: 10.2514/6.2001-821
  • 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.
    DOI: 10.1007/978-3-0348-8148-7_4
  • 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

  • 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.
    DOI: 10.1016/S0096-3003(99)00076-4.
  • 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.
    DOI: 10.1007/s101070050107.
  • 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.
    DOI: 10.1145/317275.317278
  • 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.
    DOI:10.1137/S0363012997319541.
  • 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.
  • 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.
    DOI: 10.1080/10618569808940863
  • 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.
    DOI: 10.1137/S036012995279031.
  • M. Heinkenschloss
    A Trust Region Method for Norm Constrained Problems.
    SIAM Journal on Numerical Analysis, Vol. 35, No. 4 (1998) pp. 1594-1620.
    DOI: 10.1137/S0036142994273987.
  • 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.
    DOI: 10.1007/978-1-4612-1780-0_6.
  • M. Heinkenschloss, M. B. Hribar, and M. Kokkolaras
    Acceleration of Multidisciplinary Analysis Solvers by Inexact Subsystem Simulations.
    April 1998. (AIAA Paper 98-4712)
    DOI: 10.2514/6.1998-4712.
  • 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.
    DOI: 10.1007/978-1-4757-6095-8_9.
  • 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.
    DOI: 10.1080/10556789708805656.
  • 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.
    DOI: 10.1023/A:1022616327742.
  • 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.
  • 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.
    DOI: 10.1007/978-3-0348-8849-3_2.
  • M. Heinkenschloss
    Optimization of Dynamical Systems
    Lecture Notes, Summer School on Continuous Optimization Technical University Hamburg-Harburg, 57 pages, Germany, September 22 - 26, 1997.
  • M. Heinkenschloss
    Projected Sequential Quadratic Programming Methods.
    SIAM Journal on Optimization, Vol. 6 (1996) pp. 373-417.
    DOI: 10.1137/0806022.
  • 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)
    DOI: 10.2514/6.1996-3993
  • Ajit R. Shenoy, Eugene M. Cliff, and M. Heinkenschloss
    Thermal-Fluid Control via Finite-Dimensional Approximation.
    April 1996. (AIAA Paper 96-1910)
    DOI: 10.2514/6.1996-1910
  • M. Heinkenschloss and L. N. Vicente
    Analysis of Inexact Trust-Region Interior-Point SQP Algorithms.
    June 1995 (revised April 1996).
    Abstract, PDF file (235kB).
  • M. Heinkenschloss
    On the Solution of a Two Ball Trust-Region Subproblem.
    Math. Programming, Vol. 64 (1994) pp. 249-276.
    DOI: 10.1007/BF01582576.
  • 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.
    DOI: 10.1007/978-3-0348-8530-0_10.
  • 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.
    DOI: 10.1137/0729099
  • M. Heinkenschloss
    Gauss-Newton Methods for Infinite Dimensional Least Squares Problems with Norm Constraints
    Ph.D. Thesis, Universität Trier, Germany, September 1991, 120 pages.
  • 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.
    DOI: 10.1007/978-3-0348-6418-3_11
  • 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.
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