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
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
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
Kouri, Drew P.; Surowiec, Thomas M. A primal-dual algorithm for risk minimization. (English) Zbl 1500.90035 Math. Program. 193, No. 1 (A), 337-363 (2022). MSC: 90C15 65K10 93E20 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, Math. Program. 193, No. 1 (A), 337--363 (2022; Zbl 1500.90035) Full Text: DOI
Garreis, Sebastian; Surowiec, Thomas M.; Ulbrich, Michael An interior-point approach for solving risk-averse PDE-constrained optimization problems with coherent risk measures. (English) Zbl 1456.49005 SIAM J. Optim. 31, No. 1, 1-29 (2021). MSC: 49J20 49J50 49J55 49K20 49K45 90C15 PDFBibTeX XMLCite \textit{S. Garreis} et al., SIAM J. Optim. 31, No. 1, 1--29 (2021; Zbl 1456.49005) Full Text: DOI
Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M. Deflation for semismooth equations. (English) Zbl 1467.65067 Optim. Methods Softw. 35, No. 6, 1248-1271 (2020). MSC: 65K15 65P30 65H10 35M86 90C33 PDFBibTeX XMLCite \textit{P. E. Farrell} et al., Optim. Methods Softw. 35, No. 6, 1248--1271 (2020; Zbl 1467.65067) Full Text: DOI arXiv
Kouri, Drew P.; Surowiec, Thomas M. Epi-regularization of risk measures. (English) Zbl 1455.90115 Math. Oper. Res. 45, No. 2, 774-795 (2020). MSC: 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, Math. Oper. Res. 45, No. 2, 774--795 (2020; Zbl 1455.90115) Full Text: DOI Link
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
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, M.; Surowiec, T. M. On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. (English) Zbl 1471.47039 Set-Valued Var. Anal. 26, No. 3, 631-642 (2018). Reviewer: Stanisław Migórski (Kraków) MSC: 47J20 35J88 35R35 49J20 49K20 49J53 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. M. Surowiec}, Set-Valued Var. Anal. 26, No. 3, 631--642 (2018; Zbl 1471.47039) Full Text: DOI
Kouri, D. P.; Surowiec, T. M. Existence and optimality conditions for risk-averse PDE-constrained optimization. (English) Zbl 1393.49002 SIAM/ASA J. Uncertain. Quantif. 6, 787-815 (2018); corrigendum ibid. 10, 1321-1322 (2022). MSC: 49J20 49J50 49J55 49K20 49K45 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, SIAM/ASA J. Uncertain. Quantif. 6, 787--815 (2018; Zbl 1393.49002) 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
Kouri, D. P.; Surowiec, T. M. Risk-averse PDE-constrained optimization using the conditional value-at-risk. (English) Zbl 1337.49049 SIAM J. Optim. 26, No. 1, 365-396 (2016). Reviewer: Igor Bock (Bratislava) MSC: 49M15 49M25 49M29 49J20 49K20 49J55 49K45 65K05 90C15 93E20 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, SIAM J. Optim. 26, No. 1, 365--396 (2016; Zbl 1337.49049) 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
Henrion, René; Outrata, Jiří; Surowiec, Thomas Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market. (English) Zbl 1281.90056 ESAIM, Control Optim. Calc. Var. 18, No. 2, 295-317 (2012). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 49J53 PDFBibTeX XMLCite \textit{R. Henrion} et al., ESAIM, Control Optim. Calc. Var. 18, No. 2, 295--317 (2012; Zbl 1281.90056) Full Text: DOI EuDML
Henrion, R.; Outrata, J.; Surowiec, T. On the co-derivative of normal cone mappings to inequality systems. (English) Zbl 1176.90568 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1213-1226 (2009). Reviewer: Oliver Stein (Karlsruhe) MSC: 90C30 49J53 PDFBibTeX XMLCite \textit{R. Henrion} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1213--1226 (2009; Zbl 1176.90568) Full Text: DOI