Beranek, Nina; Reinhold, Martin Alexander; Urban, Karsten A space-time variational method for optimal control problems: well-posedness, stability and numerical solution. (English) Zbl 07752375 Comput. Optim. Appl. 86, No. 2, 767-794 (2023). MSC: 65J10 65M12 65Mxx PDFBibTeX XMLCite \textit{N. Beranek} et al., Comput. Optim. Appl. 86, No. 2, 767--794 (2023; Zbl 07752375) Full Text: DOI arXiv OA License
Hashemi, Masoumeh; Herzog, Roland; Surowiec, Thomas M. Optimal control of the stationary Kirchhoff equation. (English) Zbl 1519.49004 Comput. Optim. Appl. 85, No. 2, 479-508 (2023). MSC: 49J20 49K20 49M15 35J62 47J05 65L60 PDFBibTeX XMLCite \textit{M. Hashemi} et al., Comput. Optim. Appl. 85, No. 2, 479--508 (2023; Zbl 1519.49004) Full Text: DOI arXiv
Kouri, Drew P.; Staudigl, Mathias; Surowiec, Thomas M. A relaxation-based probabilistic approach for PDE-constrained optimization under uncertainty with pointwise state constraints. (English) Zbl 1519.90138 Comput. Optim. Appl. 85, No. 2, 441-478 (2023). MSC: 90C15 90C25 49M20 49M41 65K05 65K10 PDFBibTeX XMLCite \textit{D. P. Kouri} et al., Comput. Optim. Appl. 85, No. 2, 441--478 (2023; Zbl 1519.90138) Full Text: DOI
Garmatter, Dominik; Porcelli, Margherita; Rinaldi, Francesco; Stoll, Martin An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations. (English) Zbl 1510.90190 Comput. Optim. Appl. 84, No. 1, 191-223 (2023). MSC: 90C11 90C51 34C20 90C06 93C20 PDFBibTeX XMLCite \textit{D. Garmatter} et al., Comput. Optim. Appl. 84, No. 1, 191--223 (2023; Zbl 1510.90190) Full Text: DOI arXiv
Natemeyer, Carolin; Wachsmuth, Daniel A proximal gradient method for control problems with non-smooth and non-convex control cost. (English) Zbl 1482.49005 Comput. Optim. Appl. 80, No. 2, 639-677 (2021). Reviewer: Alberto Maione (Freiburg im Breisgau) MSC: 49J27 49J52 49K27 49M37 PDFBibTeX XMLCite \textit{C. Natemeyer} and \textit{D. Wachsmuth}, Comput. Optim. Appl. 80, No. 2, 639--677 (2021; Zbl 1482.49005) Full Text: DOI arXiv
Frenzel, David; Lang, Jens A third-order weighted essentially non-oscillatory scheme in optimal control problems governed by nonlinear hyperbolic conservation laws. (English) Zbl 1470.49057 Comput. Optim. Appl. 80, No. 1, 301-320 (2021). MSC: 49M25 65L06 65M22 35L65 PDFBibTeX XMLCite \textit{D. Frenzel} and \textit{J. Lang}, Comput. Optim. Appl. 80, No. 1, 301--320 (2021; Zbl 1470.49057) Full Text: DOI arXiv
Geiersbach, Caroline; Scarinci, Teresa Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces. (English) Zbl 1469.90157 Comput. Optim. Appl. 78, No. 3, 705-740 (2021). MSC: 90C48 90C15 90C26 PDFBibTeX XMLCite \textit{C. Geiersbach} and \textit{T. Scarinci}, Comput. Optim. Appl. 78, No. 3, 705--740 (2021; Zbl 1469.90157) Full Text: DOI arXiv
Ek, David; Forsgren, Anders Approximate solution of system of equations arising in interior-point methods for bound-constrained optimization. (English) Zbl 1469.90137 Comput. Optim. Appl. 79, No. 1, 155-191 (2021). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{D. Ek} and \textit{A. Forsgren}, Comput. Optim. Appl. 79, No. 1, 155--191 (2021; Zbl 1469.90137) Full Text: DOI arXiv
Karl, Veronika; Neitzel, Ira; Wachsmuth, Daniel A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems. (English) Zbl 1472.49027 Comput. Optim. Appl. 77, No. 3, 831-869 (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 49M20 65K10 90C30 PDFBibTeX XMLCite \textit{V. Karl} et al., Comput. Optim. Appl. 77, No. 3, 831--869 (2020; Zbl 1472.49027) Full Text: DOI arXiv
Chen, Zhongwen; Dai, Yu-Hong; Liu, Jiangyan A penalty-free method with superlinear convergence for equality constrained optimization. (English) Zbl 1446.90146 Comput. Optim. Appl. 76, No. 3, 801-833 (2020). MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Comput. Optim. Appl. 76, No. 3, 801--833 (2020; Zbl 1446.90146) Full Text: DOI
Kobayashi, Ken; Takano, Yuich A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems. (English) Zbl 1440.90031 Comput. Optim. Appl. 75, No. 2, 493-513 (2020). MSC: 90C11 90C22 90C57 PDFBibTeX XMLCite \textit{K. Kobayashi} and \textit{Y. Takano}, Comput. Optim. Appl. 75, No. 2, 493--513 (2020; Zbl 1440.90031) Full Text: DOI
Merino, Pedro A difference-of-convex functions approach for sparse PDE optimal control problems with nonconvex costs. (English) Zbl 1427.49026 Comput. Optim. Appl. 74, No. 1, 225-258 (2019). MSC: 49K20 90C26 90C46 49J20 PDFBibTeX XMLCite \textit{P. Merino}, Comput. Optim. Appl. 74, No. 1, 225--258 (2019; Zbl 1427.49026) Full Text: DOI arXiv
Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe Optimal control in first-order Sobolev spaces with inequality constraints. (English) Zbl 1422.49026 Comput. Optim. Appl. 72, No. 3, 797-826 (2019). MSC: 49K20 49M05 49M25 49M37 PDFBibTeX XMLCite \textit{Y. Deng} et al., Comput. Optim. Appl. 72, No. 3, 797--826 (2019; Zbl 1422.49026) Full Text: DOI
Nicholson, Bethany L.; Wan, Wei; Kameswaran, Shivakumar; Biegler, Lorenz T. Parallel cyclic reduction strategies for linear systems that arise in dynamic optimization problems. (English) Zbl 1402.90202 Comput. Optim. Appl. 70, No. 2, 321-350 (2018). MSC: 90C39 90C51 PDFBibTeX XMLCite \textit{B. L. Nicholson} et al., Comput. Optim. Appl. 70, No. 2, 321--350 (2018; Zbl 1402.90202) Full Text: DOI
von Daniels, Nikolaus Tikhonov regularization of control-constrained optimal control problems. (English) Zbl 1398.49019 Comput. Optim. Appl. 70, No. 1, 295-320 (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 49K30 49J30 PDFBibTeX XMLCite \textit{N. von Daniels}, Comput. Optim. Appl. 70, No. 1, 295--320 (2018; Zbl 1398.49019) Full Text: DOI arXiv
Karl, Veronika; Wachsmuth, Daniel An augmented Lagrange method for elliptic state constrained optimal control problems. (English) Zbl 1388.49029 Comput. Optim. Appl. 69, No. 3, 857-880 (2018). MSC: 49M20 65K10 90C30 PDFBibTeX XMLCite \textit{V. Karl} and \textit{D. Wachsmuth}, Comput. Optim. Appl. 69, No. 3, 857--880 (2018; Zbl 1388.49029) Full Text: DOI
Song, Xiaoliang; Chen, Bo; Yu, Bo An efficient duality-based approach for PDE-constrained sparse optimization. (English) Zbl 1388.49037 Comput. Optim. Appl. 69, No. 2, 461-500 (2018). MSC: 49N05 65N30 49M25 68W15 49M29 93A15 PDFBibTeX XMLCite \textit{X. Song} et al., Comput. Optim. Appl. 69, No. 2, 461--500 (2018; Zbl 1388.49037) Full Text: DOI arXiv
Curtis, Frank E.; Raghunathan, Arvind U. Solving nearly-separable quadratic optimization problems as nonsmooth equations. (English) Zbl 1370.90169 Comput. Optim. Appl. 67, No. 2, 317-360 (2017). MSC: 90C20 90C33 49M05 49M15 49M27 49M29 65K05 65K10 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{A. U. Raghunathan}, Comput. Optim. Appl. 67, No. 2, 317--360 (2017; Zbl 1370.90169) Full Text: DOI
González-Andrade, Sergio A preconditioned descent algorithm for variational inequalities of the second kind involving the \(p\)-Laplacian operator. (English) Zbl 1368.65104 Comput. Optim. Appl. 66, No. 1, 123-162 (2017). MSC: 65K15 76A05 PDFBibTeX XMLCite \textit{S. González-Andrade}, Comput. Optim. Appl. 66, No. 1, 123--162 (2017; Zbl 1368.65104) Full Text: DOI arXiv
Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael Global minima for semilinear optimal control problems. (English) Zbl 1354.49048 Comput. Optim. Appl. 65, No. 1, 261-288 (2016). MSC: 49K20 49J20 49M25 49M05 49M29 35J61 65M12 65M60 PDFBibTeX XMLCite \textit{A. Ahmad Ali} et al., Comput. Optim. Appl. 65, No. 1, 261--288 (2016; Zbl 1354.49048) Full Text: DOI arXiv
Mateos, Mariano; Neitzel, Ira Dirichlet control of elliptic state constrained problems. (English) Zbl 1343.49045 Comput. Optim. Appl. 63, No. 3, 825-853 (2016). Reviewer: Costică Moroşanu (Iaşi) MSC: 49M25 49M05 49J20 49K20 65N30 65N15 PDFBibTeX XMLCite \textit{M. Mateos} and \textit{I. Neitzel}, Comput. Optim. Appl. 63, No. 3, 825--853 (2016; Zbl 1343.49045) Full Text: DOI
Dempe, S.; Franke, S. On the solution of convex bilevel optimization problems. (English) Zbl 1343.90065 Comput. Optim. Appl. 63, No. 3, 685-703 (2016). MSC: 90C26 91A65 PDFBibTeX XMLCite \textit{S. Dempe} and \textit{S. Franke}, Comput. Optim. Appl. 63, No. 3, 685--703 (2016; Zbl 1343.90065) Full Text: DOI
Walther, Andrea; Biegler, Lorenz On an inexact trust-region SQP-filter method for constrained nonlinear optimization. (English) Zbl 1362.90344 Comput. Optim. Appl. 63, No. 3, 613-638 (2016). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{A. Walther} and \textit{L. Biegler}, Comput. Optim. Appl. 63, No. 3, 613--638 (2016; Zbl 1362.90344) Full Text: DOI
Liu, Jun; Xiao, Mingqing A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems. (English) Zbl 1337.49050 Comput. Optim. Appl. 63, No. 1, 69-95 (2016). MSC: 49M15 49M25 49J20 35K58 PDFBibTeX XMLCite \textit{J. Liu} and \textit{M. Xiao}, Comput. Optim. Appl. 63, No. 1, 69--95 (2016; Zbl 1337.49050) Full Text: DOI
Wachsmuth, Daniel Robust error estimates for regularization and discretization of bang-bang control problems. (English) Zbl 1334.49088 Comput. Optim. Appl. 62, No. 1, 271-289 (2015). MSC: 49M25 49J30 PDFBibTeX XMLCite \textit{D. Wachsmuth}, Comput. Optim. Appl. 62, No. 1, 271--289 (2015; Zbl 1334.49088) Full Text: DOI
Lass, Oliver; Volkwein, Stefan Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. (English) Zbl 1342.49055 Comput. Optim. Appl. 62, No. 1, 217-239 (2015). MSC: 49N45 49M27 49M15 35J60 35K55 PDFBibTeX XMLCite \textit{O. Lass} and \textit{S. Volkwein}, Comput. Optim. Appl. 62, No. 1, 217--239 (2015; Zbl 1342.49055) Full Text: DOI Link
Keuthen, Moritz; Ulbrich, Michael Moreau-Yosida regularization in shape optimization with geometric constraints. (English) Zbl 1346.90810 Comput. Optim. Appl. 62, No. 1, 181-216 (2015). Reviewer: Paulo Mbunga (Kiel) MSC: 90C48 49Q10 90C90 PDFBibTeX XMLCite \textit{M. Keuthen} and \textit{M. Ulbrich}, Comput. Optim. Appl. 62, No. 1, 181--216 (2015; Zbl 1346.90810) Full Text: DOI
Frei, S.; Andrä, H.; Pinnau, R.; Tse, O. Optimizing fiber orientation in fiber-reinforced materials using efficient upscaling. (English) Zbl 1333.49048 Comput. Optim. Appl. 62, No. 1, 111-129 (2015). MSC: 49M30 49M25 49J20 49N90 74B05 PDFBibTeX XMLCite \textit{S. Frei} et al., Comput. Optim. Appl. 62, No. 1, 111--129 (2015; Zbl 1333.49048) Full Text: DOI
Egger, Herbert; Schlottbom, Matthias Numerical methods for parameter identification in stationary radiative transfer. (English) Zbl 1333.49050 Comput. Optim. Appl. 62, No. 1, 67-83 (2015). MSC: 49N45 49M30 49J20 65M32 35R09 35Q93 PDFBibTeX XMLCite \textit{H. Egger} and \textit{M. Schlottbom}, Comput. Optim. Appl. 62, No. 1, 67--83 (2015; Zbl 1333.49050) Full Text: DOI arXiv
Dihlmann, Markus A.; Haasdonk, Bernard Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems. (English) Zbl 1319.49046 Comput. Optim. Appl. 60, No. 3, 753-787 (2015). MSC: 49M30 49M25 49J20 49K20 PDFBibTeX XMLCite \textit{M. A. Dihlmann} and \textit{B. Haasdonk}, Comput. Optim. Appl. 60, No. 3, 753--787 (2015; Zbl 1319.49046) Full Text: DOI
Curtis, Frank E.; Han, Zheng; Robinson, Daniel P. A globally convergent primal-dual active-set framework for large-scale convex quadratic optimization. (English) Zbl 1309.90072 Comput. Optim. Appl. 60, No. 2, 311-341 (2015). MSC: 90C20 49M05 49M15 65K05 65K10 65K15 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Comput. Optim. Appl. 60, No. 2, 311--341 (2015; Zbl 1309.90072) Full Text: DOI
Chertock, Alina; Herty, Michael; Kurganov, Alexander An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. (English) Zbl 1306.49047 Comput. Optim. Appl. 59, No. 3, 689-724 (2014). MSC: 49M30 49M25 49M05 49K20 49J20 35L60 65M08 PDFBibTeX XMLCite \textit{A. Chertock} et al., Comput. Optim. Appl. 59, No. 3, 689--724 (2014; Zbl 1306.49047) Full Text: DOI
Shen, Chungen; Zhang, Lei-Hong; Wang, Bo; Shao, Wenqiong Global and local convergence of a nonmonotone SQP method for constrained nonlinear optimization. (English) Zbl 1310.90107 Comput. Optim. Appl. 59, No. 3, 435-473 (2014). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{C. Shen} et al., Comput. Optim. Appl. 59, No. 3, 435--473 (2014; Zbl 1310.90107) Full Text: DOI
Bosse, Torsten; Lehmann, Lutz; Griewank, Andreas Adaptive sequencing of primal, dual, and design steps in simulation based optimization. (English) Zbl 1327.90301 Comput. Optim. Appl. 57, No. 3, 731-760 (2014). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C30 49M37 65K10 PDFBibTeX XMLCite \textit{T. Bosse} et al., Comput. Optim. Appl. 57, No. 3, 731--760 (2014; Zbl 1327.90301) Full Text: DOI
COAP 2012 Best Paper Prize. (English) Zbl 1280.90111 Comput. Optim. Appl. 56, No. 3, 503-506 (2013). MSC: 90C30 90C55 PDFBibTeX XMLCite Comput. Optim. Appl. 56, No. 3, 503--506 (2013; Zbl 1280.90111) Full Text: DOI
Amstutz, Samuel; Laurain, Antoine A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints. (English) Zbl 1312.49031 Comput. Optim. Appl. 56, No. 2, 369-403 (2013). MSC: 49M15 49Q12 74P15 65K05 PDFBibTeX XMLCite \textit{S. Amstutz} and \textit{A. Laurain}, Comput. Optim. Appl. 56, No. 2, 369--403 (2013; Zbl 1312.49031) Full Text: DOI
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi On the optimal control of the Schlögl-model. (English) Zbl 1273.49006 Comput. Optim. Appl. 56, No. 1, 153-185 (2013); erratum ibid. 56, No. 1, 187-188 (2013). MSC: 49J20 49K20 49K40 49N60 49M25 49M27 35K58 PDFBibTeX XMLCite \textit{R. Buchholz} et al., Comput. Optim. Appl. 56, No. 1, 153--185 (2013; Zbl 1273.49006) Full Text: DOI
Gong, Wei; Hinze, Michael Error estimates for parabolic optimal control problems with control and state constraints. (English) Zbl 1273.49036 Comput. Optim. Appl. 56, No. 1, 131-151 (2013). MSC: 49M25 49K20 PDFBibTeX XMLCite \textit{W. Gong} and \textit{M. Hinze}, Comput. Optim. Appl. 56, No. 1, 131--151 (2013; Zbl 1273.49036) Full Text: DOI
Leykekhman, Dmitriy; Meidner, Dominik; Vexler, Boris Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. (English) Zbl 1272.49049 Comput. Optim. Appl. 55, No. 3, 769-802 (2013). MSC: 49M25 49J20 65N30 PDFBibTeX XMLCite \textit{D. Leykekhman} et al., Comput. Optim. Appl. 55, No. 3, 769--802 (2013; Zbl 1272.49049) Full Text: DOI
Hante, Falk M.; Sager, Sebastian Relaxation methods for mixed-integer optimal control of partial differential equations. (English) Zbl 1272.49026 Comput. Optim. Appl. 55, No. 1, 197-225 (2013). MSC: 49J45 49J20 90C11 PDFBibTeX XMLCite \textit{F. M. Hante} and \textit{S. Sager}, Comput. Optim. Appl. 55, No. 1, 197--225 (2013; Zbl 1272.49026) Full Text: DOI arXiv
Jörres, Christian; Vossen, Georg; Herty, Michael On an inexact gradient method using proper orthogonal decomposition for parabolic optimal control problems. (English) Zbl 1272.49058 Comput. Optim. Appl. 55, No. 2, 459-468 (2013). MSC: 49M27 PDFBibTeX XMLCite \textit{C. Jörres} et al., Comput. Optim. Appl. 55, No. 2, 459--468 (2013; Zbl 1272.49058) Full Text: DOI
Bellavia, Stefania; Macconi, Maria; Pieraccini, Sandra Constrained dogleg methods for nonlinear systems with simple bounds. (English) Zbl 1262.90163 Comput. Optim. Appl. 53, No. 3, 771-794 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Bellavia} et al., Comput. Optim. Appl. 53, No. 3, 771--794 (2012; Zbl 1262.90163) Full Text: DOI
De Santis, M.; Di Pillo, G.; Lucidi, S. An active set feasible method for large-scale minimization problems with bound constraints. (English) Zbl 1284.90075 Comput. Optim. Appl. 53, No. 2, 395-423 (2012). MSC: 90C30 90C06 PDFBibTeX XMLCite \textit{M. De Santis} et al., Comput. Optim. Appl. 53, No. 2, 395--423 (2012; Zbl 1284.90075) Full Text: DOI
Hinze, M.; Meyer, C. Stability of semilinear elliptic optimal control problems with pointwise state constraints. (English) Zbl 1258.49036 Comput. Optim. Appl. 52, No. 1, 87-114 (2012). MSC: 49K40 49K20 49M25 35J61 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{C. Meyer}, Comput. Optim. Appl. 52, No. 1, 87--114 (2012; Zbl 1258.49036) Full Text: DOI
Fatemi, M.; Mahdavi-Amiri, N. A filter trust-region algorithm for unconstrained optimization with strong global convergence properties. (English) Zbl 1259.90131 Comput. Optim. Appl. 52, No. 1, 239-266 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{M. Fatemi} and \textit{N. Mahdavi-Amiri}, Comput. Optim. Appl. 52, No. 1, 239--266 (2012; Zbl 1259.90131) Full Text: DOI
Galántai, Aurél Properties and construction of NCP functions. (English) Zbl 1282.90194 Comput. Optim. Appl. 52, No. 3, 805-824 (2012). MSC: 90C33 PDFBibTeX XMLCite \textit{A. Galántai}, Comput. Optim. Appl. 52, No. 3, 805--824 (2012; Zbl 1282.90194) Full Text: DOI
Shen, Chungen; Leyffer, Sven; Fletcher, Roger A nonmonotone filter method for nonlinear optimization. (English) Zbl 1259.90140 Comput. Optim. Appl. 52, No. 3, 583-607 (2012). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{C. Shen} et al., Comput. Optim. Appl. 52, No. 3, 583--607 (2012; Zbl 1259.90140) Full Text: DOI
Kunisch, Karl; Wachsmuth, Daniel Path-following for optimal control of stationary variational inequalities. (English) Zbl 1239.49010 Comput. Optim. Appl. 51, No. 3, 1345-1373 (2012). MSC: 49J40 49K27 49M15 PDFBibTeX XMLCite \textit{K. Kunisch} and \textit{D. Wachsmuth}, Comput. Optim. Appl. 51, No. 3, 1345--1373 (2012; Zbl 1239.49010) Full Text: DOI
Banda, Mapundi K.; Herty, Michael Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws. (English) Zbl 1241.65055 Comput. Optim. Appl. 51, No. 2, 909-930 (2012). MSC: 65K05 35L99 65N08 49K99 PDFBibTeX XMLCite \textit{M. K. Banda} and \textit{M. Herty}, Comput. Optim. Appl. 51, No. 2, 909--930 (2012; Zbl 1241.65055) Full Text: DOI
Deckelnick, Klaus; Hinze, Michael A note on the approximation of elliptic control problems with bang-bang controls. (English) Zbl 1239.49006 Comput. Optim. Appl. 51, No. 2, 931-939 (2012). MSC: 49J30 49M30 35Q93 35J05 PDFBibTeX XMLCite \textit{K. Deckelnick} and \textit{M. Hinze}, Comput. Optim. Appl. 51, No. 2, 931--939 (2012; Zbl 1239.49006) Full Text: DOI
Günther, Andreas; Hinze, Michael Elliptic control problems with gradient constraints – variational discrete versus piecewise constant controls. (English) Zbl 1228.49035 Comput. Optim. Appl. 49, No. 3, 549-566 (2011). MSC: 49M25 35J15 PDFBibTeX XMLCite \textit{A. Günther} and \textit{M. Hinze}, Comput. Optim. Appl. 49, No. 3, 549--566 (2011; Zbl 1228.49035) Full Text: DOI
Hinze, Michael; Schiela, Anton Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment. (English) Zbl 1238.49046 Comput. Optim. Appl. 48, No. 3, 581-600 (2011). MSC: 49M25 90C51 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{A. Schiela}, Comput. Optim. Appl. 48, No. 3, 581--600 (2011; Zbl 1238.49046) Full Text: DOI
Stadler, Georg Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices. (English) Zbl 1185.49031 Comput. Optim. Appl. 44, No. 2, 159-181 (2009). MSC: 49M15 49N60 PDFBibTeX XMLCite \textit{G. Stadler}, Comput. Optim. Appl. 44, No. 2, 159--181 (2009; Zbl 1185.49031) Full Text: DOI
Weiser, Martin; Gänzler, Tobias; Schiela, Anton A control reduced primal interior point method for a class of control constrained optimal control problems. (English) Zbl 1190.90278 Comput. Optim. Appl. 41, No. 1, 127-145 (2008). MSC: 90C51 49J15 PDFBibTeX XMLCite \textit{M. Weiser} et al., Comput. Optim. Appl. 41, No. 1, 127--145 (2008; Zbl 1190.90278) Full Text: DOI
Benson, Hande Y.; Shanno, David F. Interior-point methods for nonconvex nonlinear programming: Regularization and warmstarts. (English) Zbl 1181.90243 Comput. Optim. Appl. 40, No. 2, 143-189 (2008). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{H. Y. Benson} and \textit{D. F. Shanno}, Comput. Optim. Appl. 40, No. 2, 143--189 (2008; Zbl 1181.90243) Full Text: DOI
Schiela, Anton; Weiser, Martin Superlinear convergence of the control reduced interior point method for PDE constrained optimization. (English) Zbl 1181.90287 Comput. Optim. Appl. 39, No. 3, 369-393 (2008). MSC: 90C51 90C48 PDFBibTeX XMLCite \textit{A. Schiela} and \textit{M. Weiser}, Comput. Optim. Appl. 39, No. 3, 369--393 (2008; Zbl 1181.90287) Full Text: DOI
Silva, R.; Soares, J.; Vicente, L. N. Local analysis of the feasible primal-dual interior-point method. (English) Zbl 1192.90248 Comput. Optim. Appl. 40, No. 1, 41-57 (2008). MSC: 90C51 90C30 PDFBibTeX XMLCite \textit{R. Silva} et al., Comput. Optim. Appl. 40, No. 1, 41--57 (2008; Zbl 1192.90248) Full Text: DOI Link
Prüfert, Uwe; Tröltzsch, Fredi; Weiser, Martin The convergence of an interior point method for an elliptic control problem with mixed control-state constraints. (English) Zbl 1144.90511 Comput. Optim. Appl. 39, No. 2, 183-218 (2008). MSC: 90C51 PDFBibTeX XMLCite \textit{U. Prüfert} et al., Comput. Optim. Appl. 39, No. 2, 183--218 (2008; Zbl 1144.90511) Full Text: DOI
Kanzow, Christian; Klug, Andreas An interior-point affine-scaling trust-region method for semismooth equations with box constraints. (English) Zbl 1180.90219 Comput. Optim. Appl. 37, No. 3, 329-353 (2007). MSC: 90C20 90C51 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{A. Klug}, Comput. Optim. Appl. 37, No. 3, 329--353 (2007; Zbl 1180.90219) Full Text: DOI
Schenk, Olaf; Wächter, Andreas; Hagemann, Michael Matching-based preprocessing algorithms to the solution of saddle-point problems in large-scale nonconvex interior-point optimization. (English) Zbl 1146.90055 Comput. Optim. Appl. 36, No. 2-3, 321-341 (2007). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{O. Schenk} et al., Comput. Optim. Appl. 36, No. 2--3, 321--341 (2007; Zbl 1146.90055) Full Text: DOI Link
Kanzow, Christian; Klug, Andreas On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. (English) Zbl 1151.90552 Comput. Optim. Appl. 35, No. 2, 177-197 (2006). MSC: 90C30 90C51 90C53 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{A. Klug}, Comput. Optim. Appl. 35, No. 2, 177--197 (2006; Zbl 1151.90552) Full Text: DOI
Yamashita, Hiroshi; Yabe, Hiroshi Quadratic convergence of a primal-dual interior point method for degenerate nonlinear optimization problems. (English) Zbl 1089.90060 Comput. Optim. Appl. 31, No. 2, 123-143 (2005). MSC: 90C51 90C30 PDFBibTeX XMLCite \textit{H. Yamashita} and \textit{H. Yabe}, Comput. Optim. Appl. 31, No. 2, 123--143 (2005; Zbl 1089.90060) Full Text: DOI