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
Chen, Peng; Ghattas, Omar Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters. (English) Zbl 1473.65072 SIAM/ASA J. Uncertain. Quantif. 9, 1381-1410 (2021). MSC: 65K10 49J55 49M41 65D32 65N12 93E20 PDFBibTeX XMLCite \textit{P. Chen} and \textit{O. Ghattas}, SIAM/ASA J. Uncertain. Quantif. 9, 1381--1410 (2021; Zbl 1473.65072) Full Text: DOI arXiv
Geiersbach, Caroline; Wollner, Winnifried Optimality conditions for convex stochastic optimization problems in Banach spaces with almost sure state constraints. (English) Zbl 1484.90055 SIAM J. Optim. 31, No. 4, 2455-2480 (2021). Reviewer: Kurt Marti (München) MSC: 90C15 49K99 49N15 PDFBibTeX XMLCite \textit{C. Geiersbach} and \textit{W. Wollner}, SIAM J. Optim. 31, No. 4, 2455--2480 (2021; Zbl 1484.90055) Full Text: DOI arXiv
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin Stochastic approximation for optimization in shape spaces. (English) Zbl 1458.49034 SIAM J. Optim. 31, No. 1, 348-376 (2021). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R60 60H15 60H30 60H35 35R15 PDFBibTeX XMLCite \textit{C. Geiersbach} et al., SIAM J. Optim. 31, No. 1, 348--376 (2021; Zbl 1458.49034) Full Text: DOI arXiv
Doganay, O. T.; Gottschalk, H.; Hahn, C.; Klamroth, K.; Schultes, J.; Stiglmayr, M. Gradient based biobjective shape optimization to improve reliability and cost of ceramic components. (English) Zbl 1452.74095 Optim. Eng. 21, No. 4, 1359-1387 (2020). MSC: 74P10 49Q10 60G55 90B25 PDFBibTeX XMLCite \textit{O. T. Doganay} et al., Optim. Eng. 21, No. 4, 1359--1387 (2020; Zbl 1452.74095) Full Text: DOI arXiv
Bolten, Matthias; Gottschalk, Hanno; Hahn, Camilla; Saadi, Mohamed Numerical shape optimization to decrease failure probability of ceramic structures. (English) Zbl 07704833 Comput. Vis. Sci. 21, No. 1-6, 1-10 (2019). MSC: 65Nxx 49Q10 74P10 65C50 60G55 PDFBibTeX XMLCite \textit{M. Bolten} et al., Comput. Vis. Sci. 21, No. 1--6, 1--10 (2019; Zbl 07704833) Full Text: DOI arXiv
Lozano, Leonardo; Smith, J. Cole A brief overview of interdiction and robust optimization. (English) Zbl 1447.91019 Fathi, Mahdi (ed.) et al., Optimization in large scale problems. Industry 4.0 and society 5.0 applications. Cham: Springer. Springer Optim. Appl. 152, 33-39 (2019). MSC: 91A20 91A65 91A05 49K35 PDFBibTeX XMLCite \textit{L. Lozano} and \textit{J. C. Smith}, Springer Optim. Appl. 152, 33--39 (2019; Zbl 1447.91019) Full Text: DOI
Farshbaf-Shaker, M. H.; Henrion, R.; Hömberg, D. Properties of chance constraints in infinite dimensions with an application to PDE constrained optimization. (English) Zbl 1410.90135 Set-Valued Var. Anal. 26, No. 4, 821-841 (2018). MSC: 90C15 49J20 PDFBibTeX XMLCite \textit{M. H. Farshbaf-Shaker} et al., Set-Valued Var. Anal. 26, No. 4, 821--841 (2018; Zbl 1410.90135) Full Text: DOI
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha Stochastic dominance constraints in elastic shape optimization. (English) Zbl 1417.35214 SIAM J. Control Optim. 56, No. 4, 3021-3034 (2018). Reviewer: Baasansuren Jadamba (Rochester) MSC: 35Q93 49Q10 65N30 74M05 93C20 65N50 PDFBibTeX XMLCite \textit{S. Conti} et al., SIAM J. Control Optim. 56, No. 4, 3021--3034 (2018; Zbl 1417.35214) Full Text: DOI arXiv
Martínez-Frutos, Jesús; Herrero-Pérez, David; Kessler, Mathieu; Periago, Francisco Robust shape optimization of continuous structures via the level set method. (English) Zbl 1425.74386 Comput. Methods Appl. Mech. Eng. 305, 271-291 (2016). MSC: 74P20 74B05 49Q10 65C30 PDFBibTeX XMLCite \textit{J. Martínez-Frutos} et al., Comput. Methods Appl. Mech. Eng. 305, 271--291 (2016; Zbl 1425.74386) Full Text: DOI
Allaire, Grégoire; Dapogny, Charles A deterministic approximation method in shape optimization under random uncertainties. (English) Zbl 1416.74080 SMAI J. Comput. Math. 1, 83-143 (2015). MSC: 74P20 49Q10 65K10 90C15 65C20 74S30 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{C. Dapogny}, SMAI J. Comput. Math. 1, 83--143 (2015; Zbl 1416.74080) Full Text: DOI
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut Shape optimization for quadratic functionals and states with random right-hand sides. (English) Zbl 1326.49070 SIAM J. Control Optim. 53, No. 5, 3081-3103 (2015). MSC: 49Q10 49J55 49M30 60H35 65N75 PDFBibTeX XMLCite \textit{M. Dambrine} et al., SIAM J. Control Optim. 53, No. 5, 3081--3103 (2015; Zbl 1326.49070) Full Text: DOI arXiv
Martínez-Frutos, Jesús; Kessler, Mathieu; Periago, Francisco Robust optimal shape design for an elliptic PDE with uncertainty in its input data. (English) Zbl 1323.49029 ESAIM, Control Optim. Calc. Var. 21, No. 4, 901-923 (2015). MSC: 49Q10 49J55 49J20 49M20 93E20 35R60 35J20 60H15 65K10 60G60 60G15 PDFBibTeX XMLCite \textit{J. Martínez-Frutos} et al., ESAIM, Control Optim. Calc. Var. 21, No. 4, 901--923 (2015; Zbl 1323.49029) Full Text: DOI
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger Two-stage stochastic optimization meets two-scale simulation. (English) Zbl 1327.49071 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 193-211 (2014). MSC: 49Q10 93E20 PDFBibTeX XMLCite \textit{S. Conti} et al., ISNM, Int. Ser. Numer. Math. 165, 193--211 (2014; Zbl 1327.49071) Full Text: DOI
Allaire, Grégoire; Dapogny, Charles A linearized approach to worst-case design in parametric and geometric shape optimization. (English) Zbl 1297.49075 Math. Models Methods Appl. Sci. 24, No. 11, 2199-2257 (2014). MSC: 49Q10 49J20 65K05 74P20 90C90 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{C. Dapogny}, Math. Models Methods Appl. Sci. 24, No. 11, 2199--2257 (2014; Zbl 1297.49075) Full Text: DOI
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger On shape optimization with stochastic loadings. (English) Zbl 1356.93094 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, 215-243 (2012). MSC: 93E20 90C15 74B05 65N30 65N38 34F05 49K45 PDFBibTeX XMLCite \textit{P. Atwal} et al., ISNM, Int. Ser. Numer. Math. 160, 215--243 (2012; Zbl 1356.93094) Full Text: DOI
Brittain, Kevin; Silva, Mariana; Tortorelli, Daniel A. Minmax topology optimization. (English) Zbl 1274.74320 Struct. Multidiscip. Optim. 45, No. 5, 657-668 (2012). MSC: 74P15 74Q05 49Q12 74A50 PDFBibTeX XMLCite \textit{K. Brittain} et al., Struct. Multidiscip. Optim. 45, No. 5, 657--668 (2012; Zbl 1274.74320) Full Text: DOI Link
Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt A phase-field model for compliance shape optimization in nonlinear elasticity. (English) Zbl 1251.49054 ESAIM, Control Optim. Calc. Var. 18, No. 1, 229-258 (2012). MSC: 49Q10 74P05 49J20 PDFBibTeX XMLCite \textit{P. Penzler} et al., ESAIM, Control Optim. Calc. Var. 18, No. 1, 229--258 (2012; Zbl 1251.49054) Full Text: DOI EuDML
Chen, Shikui; Chen, Wei; Lee, Sanghoon Level set based robust shape and topology optimization under random field uncertainties. (English) Zbl 1274.74323 Struct. Multidiscip. Optim. 41, No. 4, 507-524 (2010). MSC: 74P15 49Q10 93D09 PDFBibTeX XMLCite \textit{S. Chen} et al., Struct. Multidiscip. Optim. 41, No. 4, 507--524 (2010; Zbl 1274.74323) Full Text: DOI
Žampachová, Eva; Popela, Pavel; Mrázek, Michal Optimum beam design via stochastic programming. (English) Zbl 1201.90145 Kybernetika 46, No. 3, 571-582 (2010). MSC: 90C15 65C05 90C29 49M27 PDFBibTeX XMLCite \textit{E. Žampachová} et al., Kybernetika 46, No. 3, 571--582 (2010; Zbl 1201.90145) Full Text: EuDML Link