Heinkenschloss, Matthias; Jando, Dörte Sequential reduced-order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1419.49036 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 73-98 (2018). MSC: 49M05 65F10 65F15 49N10 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 73--98 (2018; Zbl 1419.49036) Full Text: DOI
Heinkenschloss, Matthias; Jando, Dörte Reduced order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1386.49041 SIAM J. Sci. Comput. 40, No. 1, A22-A51 (2018). MSC: 49M05 65F10 65F15 93A15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, SIAM J. Sci. Comput. 40, No. 1, A22--A51 (2018; Zbl 1386.49041) Full Text: DOI
Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias Shape optimization of shell structure acoustics. (English) Zbl 1362.74022 SIAM J. Control Optim. 55, No. 3, 1347-1376 (2017). MSC: 74K25 74P15 65R20 35Q93 49Q10 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Control Optim. 55, No. 3, 1347--1376 (2017; Zbl 1362.74022) Full Text: DOI
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G. Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty. (English) Zbl 1312.49033 SIAM J. Sci. Comput. 36, No. 6, A3011-A3029 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 49M15 49M25 93A15 60H15 65K05 65N35 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri} et al., SIAM J. Sci. Comput. 36, No. 6, A3011--A3029 (2014; Zbl 1312.49033) Full Text: DOI
Heinkenschloss, Matthias; Ridzal, Denis A matrix-free trust-region SQP method for equality constrained optimization. (English) Zbl 1316.90064 SIAM J. Optim. 24, No. 3, 1507-1541 (2014). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C55 49M25 49K20 65K05 65J10 90C30 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Ridzal}, SIAM J. Optim. 24, No. 3, 1507--1541 (2014; Zbl 1316.90064) Full Text: DOI Link
Heinkenschloss, Matthias (ed.); Schulz, Volker (ed.) Numerical methods for PDE constrained optimization with uncertain data. Abstracts from the workshop held January 27 – February 2, 2013. (English) Zbl 1349.00187 Oberwolfach Rep. 10, No. 1, 239-293 (2013). MSC: 00B05 00B25 65-06 35-06 49-06 60-06 35Q93 49M25 60Hxx 65M75 65N75 90C90 PDFBibTeX XMLCite \textit{M. Heinkenschloss} (ed.) and \textit{V. Schulz} (ed.), Oberwolfach Rep. 10, No. 1, 239--293 (2013; Zbl 1349.00187) Full Text: DOI
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G. A trust-region algorithm with adaptive stochastic collocation for PDE optimization under uncertainty. (English) Zbl 1275.49047 SIAM J. Sci. Comput. 35, No. 4, A1847-A1879 (2013). Reviewer: Bülent Karasözen (Ankara) MSC: 49M25 49M15 65K05 65N35 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri} et al., SIAM J. Sci. Comput. 35, No. 4, A1847--A1879 (2013; Zbl 1275.49047) Full Text: DOI Link
Leykekhman, Dmitriy; Heinkenschloss, Matthias Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems. (English) Zbl 1253.49018 SIAM J. Numer. Anal. 50, No. 4, 2012-2038 (2012). MSC: 49M25 49K20 65N30 65N15 65J10 PDFBibTeX XMLCite \textit{D. Leykekhman} and \textit{M. Heinkenschloss}, SIAM J. Numer. Anal. 50, No. 4, 2012--2038 (2012; Zbl 1253.49018) Full Text: DOI Link
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. (English) Zbl 1220.65074 Comput. Vis. Sci. 13, No. 6, 249-264 (2010). MSC: 65K10 49J20 49M27 49Q10 PDFBibTeX XMLCite \textit{H. Antil} et al., Comput. Vis. Sci. 13, No. 6, 249--264 (2010; Zbl 1220.65074) Full Text: DOI Link
Heinkenschloss, Matthias (ed.); Hoppe, Ronald H. W. (ed.); Schulz, Volker (ed.) Numerical techniques for optimization problems with PDE constraints. Abstracts from the workshop held January 25th – January 31st, 2009. (English) Zbl 1177.90008 Oberwolfach Rep. 6, No. 1, 191-284 (2009). MSC: 90-06 49-06 00B05 35Rxx 65Kxx 90Cxx 93Cxx PDFBibTeX XMLCite \textit{M. Heinkenschloss} (ed.) et al., Oberwolfach Rep. 6, No. 1, 191--284 (2009; Zbl 1177.90008) Full Text: DOI Link
Heinkenschloss, Matthias; Ridzal, Denis Integration of sequential quadratic programming and domain decomposition methods for nonlinear optimal control problems. (English) Zbl 1140.65333 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 69-80 (2008). MSC: 65K10 49J20 49M27 49M37 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Ridzal}, Lect. Notes Comput. Sci. Eng. 60, 69--80 (2008; Zbl 1140.65333) Full Text: DOI
Heinkenschloss, Matthias; Herty, Michael A spatial domain decomposition method for parabolic optimal control problems. (English) Zbl 1117.65099 J. Comput. Appl. Math. 201, No. 1, 88-111 (2007). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49M27 49J20 49N10 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{M. Herty}, J. Comput. Appl. Math. 201, No. 1, 88--111 (2007; Zbl 1117.65099) Full Text: DOI
Bartlett, Roscoe A.; Heinkenschloss, Matthias; Ridzal, Denis; van Bloemen Waanders, Bart G. Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems. (English) Zbl 1121.49031 Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 6428-6447 (2006). MSC: 49M27 49M05 65N55 65F10 90C06 90C20 76M10 76D55 76R99 49N10 PDFBibTeX XMLCite \textit{R. A. Bartlett} et al., Comput. Methods Appl. Mech. Eng. 195, No. 44--47, 6428--6447 (2006; Zbl 1121.49031) Full Text: DOI
Heinkenschloss, Matthias; Herty, Michael Distributed solution of optimal control problems governed by parabolic equations. (English) Zbl 1120.49024 Kurdila, Andrew J. (ed.) et al., Robust optimization-directed design. Papers based on the 1st Conference on Robust Optimization-Directed Design (RODD), Shalimar, FL, USA, April 19–21, 2004. New York, NY: Springer (ISBN 0-387-28263-7/hbk). Nonconvex Optimization and Its Applications 81, 73-94 (2006). MSC: 49M25 49M20 65M55 49M27 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{M. Herty}, Nonconvex Optim. Appl. 81, 73--94 (2006; Zbl 1120.49024) Full Text: DOI
Heinkenschloss, Matthias; Nguyen, Hoang Neumann-Neumann domain decomposition preconditioners for linear-quadratic elliptic optimal control problems. (English) Zbl 1120.49025 SIAM J. Sci. Comput. 28, No. 3, 1001-1028 (2006). MSC: 49M27 49N10 65N55 65F10 90C06 90C20 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{H. Nguyen}, SIAM J. Sci. Comput. 28, No. 3, 1001--1028 (2006; Zbl 1120.49025) Full Text: DOI
Heinkenschloss, Matthias; Nguyen, Hoang Balancing Neumann-Neumann methods for elliptic optimal control problems. (English) Zbl 1066.65072 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 589-596 (2005). MSC: 65K10 49J20 49M27 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{H. Nguyen}, Lect. Notes Comput. Sci. Eng. 40, 589--596 (2005; Zbl 1066.65072) Full Text: DOI Link
Heinkenschloss, Matthias A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. (English) Zbl 1075.65091 J. Comput. Appl. Math. 173, No. 1, 169-198 (2005). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49M27 49J20 49N10 65F10 65F35 PDFBibTeX XMLCite \textit{M. Heinkenschloss}, J. Comput. Appl. Math. 173, No. 1, 169--198 (2005; Zbl 1075.65091) Full Text: DOI
Collis, S. Scott; Ghayour, Kaveh; Heinkenschloss, Matthias; Ulbrich, Michael; Ulbrich, Stefan Numerical solution of optimal control problems governed by the compressible Navier–Stokes equations. (English) Zbl 1024.49027 Hoffmann, K.-H. (ed.) et al., Optimal control of complex structures. Proceedings of the international conference, Oberwolfach, Germany, June 4-10, 2000. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 139, 43-55 (2002). MSC: 49M25 35Q30 76N25 49M29 35B37 PDFBibTeX XMLCite \textit{S. S. Collis} et al., ISNM, Int. Ser. Numer. Math. 139, 43--55 (2002; Zbl 1024.49027)
Heinkenschloss, Matthias; Vicente, Luis N. Analysis of inexact trust-region SQP algorithms. (English) Zbl 1035.90104 SIAM J. Optim. 12, No. 2, 283-302 (2002). MSC: 90C55 90C06 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{L. N. Vicente}, SIAM J. Optim. 12, No. 2, 283--302 (2001; Zbl 1035.90104) Full Text: DOI
Heinkenschloss, Matthias; Vicente, Luís N. An interface between optimization and application for the numerical solution of optimal control problems. (English) Zbl 0961.65061 ACM Trans. Math. Softw. 25, No. 2, 157-190 (1999). MSC: 65K10 49M37 49J05 49-04 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{L. N. Vicente}, ACM Trans. Math. Softw. 25, No. 2, 157--190 (1999; Zbl 0961.65061) Full Text: DOI
Heinkenschloss, Matthias; Tröltzsch, Fredi Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. (English) Zbl 0992.49023 Control Cybern. 28, No. 2, 177-211 (1999). MSC: 49M37 90C20 80A22 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{F. Tröltzsch}, Control Cybern. 28, No. 2, 177--211 (1999; Zbl 0992.49023)
Ulbrich, Michael; Ulbrich, Stefan; Heinkenschloss, Matthias Global convergence of trust-region interior-point algorithms for infinite-dimensional nonconvex minimization subject to pointwise bounds. (English) Zbl 1111.90368 SIAM J. Control Optim. 37, No. 3, 731-764 (1999). MSC: 90C51 49M30 90C34 PDFBibTeX XMLCite \textit{M. Ulbrich} et al., SIAM J. Control Optim. 37, No. 3, 731--764 (1999; Zbl 1111.90368) Full Text: DOI
Cliff, Eugene M.; Heinkenschloss, Matthias; Shenoy, Ajit R. Adjoint-based methods in aerodynamic design optimization. (English) Zbl 0988.76083 Borggard, Jeff (ed.) et al., Computational methods for optimal design and control. Proceedings of the 2nd AFOSR workshop on Optimal design and control. Arlington, VA, USA, September 30 - October 3, 1997. Boston: Birkhäuser. Prog. Syst. Control Theory. 24, 91-112 (1998). MSC: 76N25 49J20 PDFBibTeX XMLCite \textit{E. M. Cliff} et al., in: Computational methods for optimal design and control. Proceedings of the 2nd AFOSR workshop on Optimal design and control. Arlington, VA, USA, September 30 - October 3, 1997. Boston: Birkhäuser. 91--112 (1998; Zbl 0988.76083)
Shenoy, A.; Heinkenschloss, M.; Cliff, E. M. Airfoil design by an all-at-once method. (English) Zbl 0940.76084 Int. J. Comput. Fluid Dyn. 11, No. 1-2, 3-25 (1998). MSC: 76N25 76G25 76M30 PDFBibTeX XMLCite \textit{A. Shenoy} et al., Int. J. Comput. Fluid Dyn. 11, No. 1--2, 3--25 (1998; Zbl 0940.76084) Full Text: DOI
Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N. Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. (English) Zbl 0921.90137 SIAM J. Control Optimization 36, No. 5, 1750-1794 (1998). MSC: 90C30 49M37 90C06 PDFBibTeX XMLCite \textit{J. E. Dennis} et al., SIAM J. Control Optim. 36, No. 5, 1750--1794 (1998; Zbl 0921.90137) Full Text: DOI
Battermann, A.; Heinkenschloss, M. Preconditioners for Karush-Kuhn-Tucker matrices arising in the optimal control of distributed systems. (English) Zbl 0909.49015 Desch, W. (ed.) et al., Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14–20, 1996. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 126, 15-32 (1998). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 49M30 49N10 90C20 PDFBibTeX XMLCite \textit{A. Battermann} and \textit{M. Heinkenschloss}, ISNM, Int. Ser. Numer. Math. 126, 15--32 (1998; Zbl 0909.49015)
Berggren, Martin; Heinkenschloss, Matthias Parallel solution of optimal-control problems by time-domain decomposition. (English) Zbl 0911.65053 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 102-112 (1997). MSC: 65K10 65Y05 49J20 49M27 PDFBibTeX XMLCite \textit{M. Berggren} and \textit{M. Heinkenschloss}, in: Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 102--112 (1997; Zbl 0911.65053)
Cliff, E. M.; Heinkenschloss, M.; Shenoy, A. R. An optimal control problem for flows with discontinuities. (English) Zbl 0891.49018 J. Optimization Theory Appl. 94, No. 2, 273-309 (1997). MSC: 90C20 76M30 76N10 35Q35 PDFBibTeX XMLCite \textit{E. M. Cliff} et al., J. Optim. Theory Appl. 94, No. 2, 273--309 (1997; Zbl 0891.49018) Full Text: DOI
Heinkenschloss, Matthias The numerical solution of a control problem governed by a phase field model. (English) Zbl 0891.49017 Optim. Methods Softw. 7, No. 3-4, 211-263 (1997). Reviewer: Costică Moroşanu (Iaşi) MSC: 49M15 49J20 65M60 PDFBibTeX XMLCite \textit{M. Heinkenschloss}, Optim. Methods Softw. 7, No. 3--4, 211--263 (1997; Zbl 0891.49017) Full Text: DOI
Heinkenschloss, M.; Sachs, E. W. Numerical solution of a constrained control problem for a phase field model. (English) Zbl 0809.49026 Desch, W. (ed.) et al., Control and estimation of distributed parameter systems: nonlinear phenomena. International conference in Vorau (Austria), July 18-24, 1993. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 118, 171-187 (1994). MSC: 49M15 49K20 80A22 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{E. W. Sachs}, ISNM, Int. Ser. Numer. Math. 118, 171--187 (1994; Zbl 0809.49026)
Heinkenschloss, M.; Laumen, M.; Sachs, E. W. Gauss-Newton methods with grid refinement. (English) Zbl 0742.35072 Estimation and control of distributed parameter systems, Proc. Int. Conf., Vorau/Austria 1990, ISNM 100, 161-174 (1991). MSC: 35R30 65K10 93E12 65M50 65N50 65M99 65N99 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., in: Exponentially stable approximations of weakly damped wave equations. . 161--174 (1991; Zbl 0742.35072)