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
Gahururu, Deborah B.; Hintermüller, Michael; Surowiec, Thomas M. Risk-neutral PDE-constrained generalized Nash equilibrium problems. (English) Zbl 1516.91006 Math. Program. 198, No. 2 (B), 1287-1337 (2023). MSC: 91A10 93E20 35J99 35R60 PDFBibTeX XMLCite \textit{D. B. Gahururu} et al., Math. Program. 198, No. 2 (B), 1287--1337 (2023; Zbl 1516.91006) Full Text: DOI
Geiersbach, Caroline; Hintermüller, Michael Optimality conditions and Moreau-Yosida regularization for almost sure state constraints. (English) Zbl 1509.49015 ESAIM, Control Optim. Calc. Var. 28, Paper No. 80, 36 p. (2022). Reviewer: Francesco Rossi (Padova) MSC: 49K45 90C15 49N15 49K20 49J20 PDFBibTeX XMLCite \textit{C. Geiersbach} and \textit{M. Hintermüller}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 80, 36 p. (2022; Zbl 1509.49015) Full Text: DOI arXiv
Gräßle, Carmen; Hintermüller, Michael; Hinze, Michael; Keil, Tobias Simulation and control of a nonsmooth Cahn-Hilliard Navier-Stokes system with variable fluid densities. (English) Zbl 1502.49015 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 211-240 (2022). MSC: 49J52 35B65 35J87 35K55 65K15 49K20 PDFBibTeX XMLCite \textit{C. Gräßle} et al., ISNM, Int. Ser. Numer. Math. 172, 211--240 (2022; Zbl 1502.49015) Full Text: DOI arXiv
Gahururu, Deborah; Hintermüller, Michael; Stengl, Steven-Marian; Surowiec, Thomas M. Generalized Nash equilibrium problems with partial differential operators: theory, algorithms, and risk aversion. (English) Zbl 1507.49003 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 145-181 (2022). MSC: 49J20 49J55 49K20 49K45 49M99 65K10 65K15 90C15 91A10 PDFBibTeX XMLCite \textit{D. Gahururu} et al., ISNM, Int. Ser. Numer. Math. 172, 145--181 (2022; Zbl 1507.49003) 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 (ed.); Kunisch, Karl (ed.); Leugering, Günter (ed.); Rocca, Elisabetta (ed.) Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14–20, 2021 (hybrid meeting). (English) Zbl 1487.00039 Oberwolfach Rep. 18, No. 1, 419-506 (2021). MSC: 00B05 00B25 35-06 49-06 35Q90 35Q93 35R06 49J20 49J21 49J40 49J52 49J53 49K20 49K21 49Mxx 49N45 49Q10 65M06 90C46 90C48 PDFBibTeX XMLCite \textit{M. Hintermüller} (ed.) et al., Oberwolfach Rep. 18, No. 1, 419--506 (2021; Zbl 1487.00039) Full Text: DOI
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
Banz, Lothar; Hintermüller, Michael; Schröder, Andreas A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements. (English) Zbl 1524.65234 Comput. Math. Appl. 80, No. 11, 2433-2450 (2020). MSC: 65K10 65N30 49M25 49J20 65N15 PDFBibTeX XMLCite \textit{L. Banz} et al., Comput. Math. Appl. 80, No. 11, 2433--2450 (2020; Zbl 1524.65234) Full Text: DOI
Adam, Lukáš; Hintermüller, Michael; Peschka, Dirk; Surowiec, Thomas M. Optimization of a multiphysics problem in semiconductor laser design. (English) Zbl 1412.35110 SIAM J. Appl. Math. 79, No. 1, 257-283 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 74S05 35Q93 49Q10 90C90 90C06 78A60 PDFBibTeX XMLCite \textit{L. Adam} et al., SIAM J. Appl. Math. 79, No. 1, 257--283 (2019; Zbl 1412.35110) Full Text: DOI
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
Adam, L.; Hintermüller, M.; Surowiec, T. M. A PDE-constrained optimization approach for topology optimization of strained photonic devices. (English) Zbl 1507.74285 Optim. Eng. 19, No. 3, 521-557 (2018). MSC: 74P15 49Q12 90C25 PDFBibTeX XMLCite \textit{L. Adam} et al., Optim. Eng. 19, No. 3, 521--557 (2018; Zbl 1507.74285) Full Text: DOI
Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas A function space framework for structural total variation regularization with applications in inverse problems. (English) Zbl 1436.65070 Inverse Probl. 34, No. 6, Article ID 064002, 39 p. (2018). Reviewer: Bangti Jin (London) MSC: 65J22 65N21 35R09 92C55 94A08 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Inverse Probl. 34, No. 6, Article ID 064002, 39 p. (2018; Zbl 1436.65070) Full Text: DOI arXiv
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models. (English) Zbl 1391.76551 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 305-353 (2017). MSC: 76M25 76T10 76D55 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 305--353 (2017; Zbl 1391.76551) Full Text: DOI
Hintermüller, M.; Surowiec, T. A bundle-free implicit programming approach for a class of elliptic MPECs in function space. (English) Zbl 1355.49025 Math. Program. 160, No. 1-2 (A), 271-305 (2016). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49M05 49K20 49J40 49J52 65K05 65K15 90C33 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Surowiec}, Math. Program. 160, No. 1--2 (A), 271--305 (2016; Zbl 1355.49025) Full Text: DOI
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
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; Rincon-Camacho, Monserrat An adaptive finite element method in \(L^2\)-TV-based image denoising. (English) Zbl 1404.65265 Inverse Probl. Imaging 8, No. 3, 685-711 (2014). MSC: 65N30 65K10 68U10 94A08 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{M. Rincon-Camacho}, Inverse Probl. Imaging 8, No. 3, 685--711 (2014; Zbl 1404.65265) Full Text: DOI
Hintermüller, M.; Hinze, M.; Kahle, C. An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. (English) Zbl 1291.65300 J. Comput. Phys. 235, 810-827 (2013). MSC: 65M60 76M10 35Q35 65M15 35A01 76T99 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., J. Comput. Phys. 235, 810--827 (2013; Zbl 1291.65300) Full Text: DOI
Hintermüller, M.; Laurain, A.; Novotny, A. A. Second-order topological expansion for electrical impedance tomography. (English) Zbl 1243.49049 Adv. Comput. Math. 36, No. 2, 235-265 (2012). MSC: 49Q10 49K21 49N45 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Adv. Comput. Math. 36, No. 2, 235--265 (2012; Zbl 1243.49049) Full Text: DOI Link
Hintermüller, M.; Kovtunenko, V. A. From shape variation to topological changes in constrained minimization: a velocity method-based concept. (English) Zbl 1245.49058 Optim. Methods Softw. 26, No. 4-5, 513-532 (2011). MSC: 49Q10 49J40 49K40 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{V. A. Kovtunenko}, Optim. Methods Softw. 26, No. 4--5, 513--532 (2011; Zbl 1245.49058) 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, Michael; Hoppe, Ronald H. W. Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. (English) Zbl 1186.65080 Fitzgibbon, William (ed.) et al., Applied and numerical partial differential equations. Scientific computing in simulation, optimization and control in a multidisciplinary context. Dordrecht: Springer (ISBN 978-90-481-3238-6/hbk; 978-90-481-3239-3/ebook). Computational Methods in Applied Sciences 15, 97-111 (2010). MSC: 65K10 49J20 49M29 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{R. H. W. Hoppe}, Comput. Methods Appl. Sci. 15, 97--111 (2010; Zbl 1186.65080) Full Text: DOI Link
Griesse, Roland; Hintermüller, Michael; Hinze, Michael Differential stability of control-constrained optimal control problems for the Navier-Stokes equations. (English) Zbl 1094.35090 Numer. Funct. Anal. Optimization 26, No. 7-8, 829-850 (2005). Reviewer: Yves Cherruault (Paris) MSC: 35Q30 49K40 35B37 PDFBibTeX XMLCite \textit{R. Griesse} et al., Numer. Funct. Anal. Optim. 26, No. 7--8, 829--850 (2005; Zbl 1094.35090) Full Text: DOI
Hintermüller, Michael Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. (English) Zbl 0978.65054 M2AN, Math. Model. Numer. Anal. 35, No. 1, 129-152 (2001). Reviewer: V.Arnăutu (Iaşi) MSC: 65K10 49J40 49M30 76D08 76M30 49M15 49N45 PDFBibTeX XMLCite \textit{M. Hintermüller}, M2AN, Math. Model. Numer. Anal. 35, No. 1, 129--152 (2001; Zbl 0978.65054) Full Text: DOI Numdam EuDML