Herberg, Evelyn; Hinze, Michael Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation. (English) Zbl 07697842 Math. Control Relat. Fields 13, No. 2, 695-720 (2023). MSC: 49M25 26A45 49J20 65K10 65N15 PDFBibTeX XMLCite \textit{E. Herberg} and \textit{M. Hinze}, Math. Control Relat. Fields 13, No. 2, 695--720 (2023; Zbl 07697842) Full Text: DOI arXiv
Deckelnick, Klaus; Herbert, Philip J.; Hinze, Michael A novel \(W^{1,\infty}\) approach to shape optimisation with Lipschitz domains. (English) Zbl 1483.35299 ESAIM, Control Optim. Calc. Var. 28, Paper No. 2, 29 p. (2022). MSC: 35Q93 49Q10 49K20 49J20 49M41 35D30 65K10 65N30 93C20 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 2, 29 p. (2022; Zbl 1483.35299) Full Text: DOI arXiv
Gräßle, Carmen; Hinze, Michael; Lang, Jens; Ullmann, Sebastian POD model order reduction with space-adapted snapshots for incompressible flows. (English) Zbl 1435.65157 Adv. Comput. Math. 45, No. 5-6, 2401-2428 (2019). MSC: 65M60 65M06 65M12 35B35 15A18 35Q30 65K05 76D05 PDFBibTeX XMLCite \textit{C. Gräßle} et al., Adv. Comput. Math. 45, No. 5--6, 2401--2428 (2019; Zbl 1435.65157) Full Text: DOI arXiv
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1507.49027 Optim. Eng. 19, No. 3, 629-662 (2018). MSC: 49M25 65M60 76D05 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Optim. Eng. 19, No. 3, 629--662 (2018; Zbl 1507.49027) Full Text: DOI
Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam Identifying conductivity in electrical impedance tomography with total variation regularization. (English) Zbl 1397.65238 Numer. Math. 138, No. 3, 723-765 (2018). Reviewer: Michael Jung (Dresden) MSC: 65N21 65N12 35J25 35R30 65N30 90C53 49M15 65K10 PDFBibTeX XMLCite \textit{M. Hinze} et al., Numer. Math. 138, No. 3, 723--765 (2018; Zbl 1397.65238) Full Text: DOI arXiv
Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias An optimal shape design problem for plates. (English) Zbl 1394.74140 SIAM J. Numer. Anal. 55, No. 1, 109-130 (2017). MSC: 74P10 49Q10 74K20 49J20 65N12 65N30 74S05 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., SIAM J. Numer. Anal. 55, No. 1, 109--130 (2017; Zbl 1394.74140) Full Text: DOI arXiv
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
Hinze, Michael; Rösch, Arnd Discretization of optimal control problems. (English) Zbl 1356.49047 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 391-430 (2012). MSC: 49M25 49J20 49K20 35Q93 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{A. Rösch}, ISNM, Int. Ser. Numer. Math. 160, 391--430 (2012; Zbl 1356.49047) Full Text: DOI
Hintermüller, M.; Hinze, M.; Tber, M. H. An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. (English) Zbl 1366.74070 Optim. Methods Softw. 26, No. 4-5, 777-811 (2011). MSC: 74S05 74N20 74M05 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Optim. Methods Softw. 26, No. 4--5, 777--811 (2011; Zbl 1366.74070) Full Text: DOI
Hinze, Michael; Tröltzsch, Fredi Discrete concepts versus error analysis in PDE-constrained optimization. (English) Zbl 1207.49005 GAMM-Mitt. 33, No. 2, 148-162 (2010). MSC: 49J20 49K20 35Q93 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{F. Tröltzsch}, GAMM-Mitt. 33, No. 2, 148--162 (2010; Zbl 1207.49005) Full Text: DOI
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael Finite element approximation of elliptic control problems with constraints on the gradient. (English) Zbl 1161.65047 Numer. Math. 111, No. 3, 335-350 (2009). Reviewer: Hans Benker (Merseburg) MSC: 65K10 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., Numer. Math. 111, No. 3, 335--350 (2009; Zbl 1161.65047) Full Text: DOI