Bongarti, Marcelo; Hintermüller, Michael Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network. (English) Zbl 07801986 Appl. Math. Optim. 89, No. 2, Paper No. 36, 48 p. (2024). MSC: 76N25 76N10 35Q35 93C20 PDFBibTeX XMLCite \textit{M. Bongarti} and \textit{M. Hintermüller}, Appl. Math. Optim. 89, No. 2, Paper No. 36, 48 p. (2024; Zbl 07801986) Full Text: DOI arXiv OA License
Hintermüller, Michael; Keil, Tobias Strong stationarity conditions for the optimal control of a Cahn-Hilliard-Navier-Stokes system. (English) Zbl 07783074 Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024). MSC: 49K20 35Q30 49J40 35J87 90C46 76T10 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024; Zbl 07783074) Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Optimal control and directional differentiability for elliptic quasi-variational inequalities. (English) Zbl 07563231 Set-Valued Var. Anal. 30, No. 3, 873-922 (2022). MSC: 47J20 49J21 49J40 49K21 46G05 PDFBibTeX XMLCite \textit{A. Alphonse} et al., Set-Valued Var. Anal. 30, No. 3, 873--922 (2022; Zbl 07563231) Full Text: DOI arXiv
Hintermüller, Michael; Keil, Tobias Optimal control of geometric partial differential equations. (English) Zbl 1475.49005 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 213-270 (2021). MSC: 49J20 49K20 49J40 35J87 35Q93 35Q35 35R35 90C33 90C46 76D45 76T10 65K10 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Handb. Numer. Anal. 22, 213--270 (2021; Zbl 1475.49005) Full Text: DOI
Hintermüller, Michael; Keil, Tobias Some recent developments in optimal control of multiphase flows. (English) Zbl 1407.49008 Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 113-142 (2018). MSC: 49J20 49K20 49M30 49J52 65M60 65K05 65K10 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, ISNM, Int. Ser. Numer. Math. 169, 113--142 (2018; Zbl 1407.49008) Full Text: DOI
Hintermüller, Michael; Keil, Tobias; Wegner, Donat Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. (English) Zbl 1368.49022 SIAM J. Control Optim. 55, No. 3, 1954-1989 (2017). MSC: 49K20 35J87 90C46 76T10 49M25 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., SIAM J. Control Optim. 55, No. 3, 1954--1989 (2017; Zbl 1368.49022) Full Text: DOI arXiv
Hintermüller, M.; Löbhard, C.; Tber, M. H. An \(\ell_1\)-penalty scheme for the optimal control of elliptic variational inequalities. (English) Zbl 1330.65101 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 151-190 (2015). MSC: 65K15 49J40 49M37 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Springer Proc. Math. Stat. 134, 151--190 (2015; Zbl 1330.65101) Full Text: DOI
Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. (English) Zbl 1320.49016 Interfaces Free Bound. 17, No. 1, 21-53 (2015). MSC: 49M25 49J40 49K20 65K15 35J86 90C33 PDFBibTeX XMLCite \textit{C. Brett} et al., Interfaces Free Bound. 17, No. 1, 21--53 (2015; Zbl 1320.49016) Full Text: DOI
Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. (English) Zbl 1318.49050 Hoppe, Ronald (ed.), Optimization with PDE constraints. ESF networking program ‘OPTPDE’. Cham: Springer (ISBN 978-3-319-08024-6/hbk; 978-3-319-08025-3/ebook). Lecture Notes in Computational Science and Engineering 101, 95-150 (2014). MSC: 49M25 49J40 65K15 65K10 90C56 PDFBibTeX XMLCite \textit{A. Gaevskaya} et al., Lect. Notes Comput. Sci. Eng. 101, 95--150 (2014; Zbl 1318.49050) Full Text: DOI Link
Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. (English) Zbl 1332.90300 Math. Program. 146, No. 1-2 (A), 555-582 (2014). MSC: 90C33 90C46 49K21 65K10 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Math. Program. 146, No. 1--2 (A), 555--582 (2014; Zbl 1332.90300) Full Text: DOI
Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. (English) Zbl 1287.49030 ESAIM, Control Optim. Calc. Var. 20, No. 2, 524-546 (2014). MSC: 49M25 49J40 65K15 90C33 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., ESAIM, Control Optim. Calc. Var. 20, No. 2, 524--546 (2014; Zbl 1287.49030) Full Text: DOI
Hintermüller, M.; Surowiec, T. First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. (English) Zbl 1248.49030 SIAM J. Optim. 21, No. 4, 1561-1593 (2011). MSC: 49K20 49J53 65K10 90C33 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Surowiec}, SIAM J. Optim. 21, No. 4, 1561--1593 (2011; Zbl 1248.49030) Full Text: DOI Link
Hintermüller, M.; Kopacka, I. A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. (English) Zbl 1229.49032 Comput. Optim. Appl. 50, No. 1, 111-145 (2011). MSC: 49M30 49K40 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{I. Kopacka}, Comput. Optim. Appl. 50, No. 1, 111--145 (2011; Zbl 1229.49032) Full Text: DOI Link
Hintermüller, M.; Kopacka, I. Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. (English) Zbl 1189.49032 SIAM J. Optim. 20, No. 2, 868-902 (2009). MSC: 49K20 49M15 65K05 90C33 35J87 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{I. Kopacka}, SIAM J. Optim. 20, No. 2, 868--902 (2009; Zbl 1189.49032) Full Text: DOI Link