Strazzullo, Maria; Vicini, Fabio POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control. (English) Zbl 07736215 Appl. Math. Comput. 457, Article ID 128191, 20 p. (2023). MSC: 49J20 46N40 65N30 PDFBibTeX XMLCite \textit{M. Strazzullo} and \textit{F. Vicini}, Appl. Math. Comput. 457, Article ID 128191, 20 p. (2023; Zbl 07736215) Full Text: DOI arXiv
Nurbekyan, Levon; Lei, Wanzhou; Yang, Yunan Efficient natural gradient descent methods for large-scale PDE-based optimization problems. (English) Zbl 1515.65171 SIAM J. Sci. Comput. 45, No. 4, A1621-A1655 (2023). MSC: 65K10 49M15 49M41 90C26 49Q22 PDFBibTeX XMLCite \textit{L. Nurbekyan} et al., SIAM J. Sci. Comput. 45, No. 4, A1621--A1655 (2023; Zbl 1515.65171) Full Text: DOI arXiv
Katsouleas, Georgios; Karatzas, Efthymios N.; Travlopanos, Fotios Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization. (English) Zbl 07702620 Optimization 72, No. 6, 1609-1642 (2023). MSC: 65-XX 90Cxx 49-XX PDFBibTeX XMLCite \textit{G. Katsouleas} et al., Optimization 72, No. 6, 1609--1642 (2023; Zbl 07702620) Full Text: DOI arXiv
Wang, Jiani; Wang, Xiao; Zhang, Liwei Stochastic regularized Newton methods for nonlinear equations. (English) Zbl 1519.90141 J. Sci. Comput. 94, No. 3, Paper No. 51, 33 p. (2023). MSC: 90C15 49M37 65K10 90C30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Sci. Comput. 94, No. 3, Paper No. 51, 33 p. (2023; Zbl 1519.90141) Full Text: DOI
Tran, Quyen; Antil, Harbir; Díaz, Hugo Optimal control of parameterized stationary Maxwell’s system: reduced basis, convergence analysis, and a posteriori error estimates. (English) Zbl 1512.35570 Math. Control Relat. Fields 13, No. 1, 431-449 (2023). MSC: 35Q61 35Q93 65M60 65M12 65K10 49M25 PDFBibTeX XMLCite \textit{Q. Tran} et al., Math. Control Relat. Fields 13, No. 1, 431--449 (2023; Zbl 1512.35570) Full Text: DOI
Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (English) Zbl 1515.78032 Eur. J. Appl. Math. 34, No. 3, 554-591 (2023). MSC: 78A57 49M37 35Q92 34B15 65K05 PDFBibTeX XMLCite \textit{M. Landstorfer} et al., Eur. J. Appl. Math. 34, No. 3, 554--591 (2023; Zbl 1515.78032) Full Text: DOI arXiv
Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. (English) Zbl 1511.49017 Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023). MSC: 49L20 35Q30 49M41 65K05 76D05 PDFBibTeX XMLCite \textit{M. Falcone} et al., Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023; Zbl 1511.49017) Full Text: DOI arXiv
Aguiar, A. A.; Ferreira, O. P.; Prudente, L. F. Inexact gradient projection method with relative error tolerance. (English) Zbl 1516.90089 Comput. Optim. Appl. 84, No. 2, 363-395 (2023). MSC: 90C30 49J52 49M15 65H10 PDFBibTeX XMLCite \textit{A. A. Aguiar} et al., Comput. Optim. Appl. 84, No. 2, 363--395 (2023; Zbl 1516.90089) Full Text: DOI arXiv
Bello-Cruz, Yunier; Gonçalves, Max L. N.; Krislock, Nathan On FISTA with a relative error rule. (English) Zbl 1516.90046 Comput. Optim. Appl. 84, No. 2, 295-318 (2023). MSC: 90C25 47H05 47J22 49M27 PDFBibTeX XMLCite \textit{Y. Bello-Cruz} et al., Comput. Optim. Appl. 84, No. 2, 295--318 (2023; Zbl 1516.90046) Full Text: DOI
Kim, Kihyun; Yang, Insoon Distributional robustness in minimax linear quadratic control with Wasserstein distance. (English) Zbl 1511.93142 SIAM J. Control Optim. 61, No. 2, 458-483 (2023). MSC: 93E20 49N05 93C55 93C05 PDFBibTeX XMLCite \textit{K. Kim} and \textit{I. Yang}, SIAM J. Control Optim. 61, No. 2, 458--483 (2023; Zbl 1511.93142) Full Text: DOI arXiv
Jiang, Rujun; Li, Xudong Hölderian error bounds and Kurdyka-Łojasiewicz inequality for the trust region subproblem. (English) Zbl 1510.90201 Math. Oper. Res. 47, No. 4, 3025-3050 (2022). MSC: 90C20 90C26 49J52 90C30 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{X. Li}, Math. Oper. Res. 47, No. 4, 3025--3050 (2022; Zbl 1510.90201) 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
Heinkenschloss, Matthias; Magruder, Caleb Reduced order model Hessian approximations in Newton methods for optimal control. (English) Zbl 1504.93041 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 335-351 (2022). MSC: 93B11 93A15 49M15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{C. Magruder}, in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 335--351 (2022; Zbl 1504.93041) Full Text: DOI
Manns, Paul; Ulbrich, Stefan A simplified Newton method to generate snapshots for POD models of semilinear optimal control problems. (English) Zbl 07596682 SIAM J. Numer. Anal. 60, No. 5, 2807-2833 (2022). MSC: 65M60 65M06 65N30 65M99 65K10 49M41 35K20 PDFBibTeX XMLCite \textit{P. Manns} and \textit{S. Ulbrich}, SIAM J. Numer. Anal. 60, No. 5, 2807--2833 (2022; Zbl 07596682) Full Text: DOI arXiv
Gonçalves, M. L. N.; Lima, F. S.; Prudente, L. F. Globally convergent Newton-type methods for multiobjective optimization. (English) Zbl 1502.90165 Comput. Optim. Appl. 83, No. 2, 403-434 (2022). MSC: 90C29 90C26 49M15 65K05 PDFBibTeX XMLCite \textit{M. L. N. Gonçalves} et al., Comput. Optim. Appl. 83, No. 2, 403--434 (2022; Zbl 1502.90165) Full Text: DOI
Akrotirianakis, I. G.; Gratton, M.; Griffin, J. D.; Yektamaram, S.; Zhou, W. Simultaneous iterative solutions for the trust-region and minimum eigenvalue subproblem. (English) Zbl 1501.90070 Optim. Methods Softw. 37, No. 2, 692-711 (2022). MSC: 90C26 90C56 65K05 49M37 PDFBibTeX XMLCite \textit{I. G. Akrotirianakis} et al., Optim. Methods Softw. 37, No. 2, 692--711 (2022; Zbl 1501.90070) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios A least-squares method for the solution of the non-smooth prescribed Jacobian equation. (English) Zbl 1497.65222 J. Sci. Comput. 93, No. 1, Paper No. 15, 32 p. (2022). MSC: 65N30 65K10 49M20 49M41 35F30 31A30 35B65 PDFBibTeX XMLCite \textit{A. Caboussat} et al., J. Sci. Comput. 93, No. 1, Paper No. 15, 32 p. (2022; Zbl 1497.65222) Full Text: DOI
Giuliani, Nicola; Hess, Martin W.; Desimone, Antonio; Rozza, Gianluigi MicroROM: an efficient and accurate reduced order method to solve many-query problems in micro-motility. (English) Zbl 1498.65212 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151-1172 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 76D07 65N99 49Q10 PDFBibTeX XMLCite \textit{N. Giuliani} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151--1172 (2022; Zbl 1498.65212) Full Text: DOI arXiv
Otto, Samuel E.; Rowley, Clarence W. Inadequacy of linear methods for minimal sensor placement and feature selection in nonlinear systems: a new approach using secants. (English) Zbl 07570751 J. Nonlinear Sci. 32, No. 5, Paper No. 69, 51 p. (2022). MSC: 62-XX 49-XX 90-XX PDFBibTeX XMLCite \textit{S. E. Otto} and \textit{C. W. Rowley}, J. Nonlinear Sci. 32, No. 5, Paper No. 69, 51 p. (2022; Zbl 07570751) Full Text: DOI arXiv
Otto, Samuel E.; Padovan, Alberto; Rowley, Clarence W. Optimizing oblique projections for nonlinear systems using trajectories. (English) Zbl 1496.93027 SIAM J. Sci. Comput. 44, No. 3, A1681-A1702 (2022). MSC: 93B11 93C10 93A15 49J27 PDFBibTeX XMLCite \textit{S. E. Otto} et al., SIAM J. Sci. Comput. 44, No. 3, A1681--A1702 (2022; Zbl 1496.93027) Full Text: DOI arXiv
Mena, Hermann; Pfurtscheller, Lena-Maria; Voigt, Matthias Discounted cost linear quadratic Gaussian control for descriptor systems. (English) Zbl 1492.93203 Int. J. Control 95, No. 5, 1349-1362 (2022). MSC: 93E20 49N10 PDFBibTeX XMLCite \textit{H. Mena} et al., Int. J. Control 95, No. 5, 1349--1362 (2022; Zbl 1492.93203) Full Text: DOI arXiv
Peralta, Gilbert; Kunisch, Karl Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. (English) Zbl 1487.49007 Numer. Math. 150, No. 2, 591-627 (2022). Reviewer: Francesco Rossi (Padova) MSC: 49J20 35L05 65M60 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{K. Kunisch}, Numer. Math. 150, No. 2, 591--627 (2022; Zbl 1487.49007) Full Text: DOI
Zulfiqar, Umair; Sreeram, Victor; Ahmad, Mian Ilyas; Du, Xin Frequency-weighted \(\mathcal{H}_2\)-optimal model order reduction via oblique projection. (English) Zbl 1483.93050 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 182-198 (2022). MSC: 93B11 93C80 49K05 PDFBibTeX XMLCite \textit{U. Zulfiqar} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 182--198 (2022; Zbl 1483.93050) Full Text: DOI arXiv
Le Son, Hai; Kang, Shinseong; Pham, Triet Minh; Lee, Kyunghoon Novel geometric parameterization scheme for the certified reduced basis analysis of a square unit cell. (English) Zbl 1501.65121 J. Korean Soc. Ind. Appl. Math. 25, No. 4, 196-220 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 49M41 PDFBibTeX XMLCite \textit{H. Le Son} et al., J. Korean Soc. Ind. Appl. Math. 25, No. 4, 196--220 (2021; Zbl 1501.65121) Full Text: DOI
Sánchez, Wilmer; Pérez, Rosana; Martínez, Héctor J. A global Jacobian smoothing algorithm for nonlinear complementarity problems. (English) Zbl 1495.90198 Rev. Integr. 39, No. 2, 191-215 (2021). MSC: 90C30 90C06 49M15 PDFBibTeX XMLCite \textit{W. Sánchez} et al., Rev. Integr. 39, No. 2, 191--215 (2021; Zbl 1495.90198) Full Text: DOI
Mitjana, F.; Cafieri, S.; Bugarin, F.; Segonds, S.; Castanie, F.; Duysinx, P. Topological gradient in structural optimization under stress and buckling constraints. (English) Zbl 1510.74102 Appl. Math. Comput. 409, Article ID 126032, 22 p. (2021). MSC: 74P15 49Q12 74G60 PDFBibTeX XMLCite \textit{F. Mitjana} et al., Appl. Math. Comput. 409, Article ID 126032, 22 p. (2021; Zbl 1510.74102) Full Text: DOI HAL
di Serafino, Daniela; Toraldo, Gerardo; Viola, Marco Using gradient directions to get global convergence of Newton-type methods. (English) Zbl 1510.65116 Appl. Math. Comput. 409, Article ID 125612, 14 p. (2021). MSC: 65K05 49M15 90C26 90C53 PDFBibTeX XMLCite \textit{D. di Serafino} et al., Appl. Math. Comput. 409, Article ID 125612, 14 p. (2021; Zbl 1510.65116) Full Text: DOI arXiv
Larson, Jeffrey; Menickelly, Matt; Zhou, Baoyu Manifold sampling for optimizing nonsmooth nonconvex compositions. (English) Zbl 1489.90214 SIAM J. Optim. 31, No. 4, 2638-2664 (2021). Reviewer: Aris Daniilidis (Vienna) MSC: 90C56 49J52 PDFBibTeX XMLCite \textit{J. Larson} et al., SIAM J. Optim. 31, No. 4, 2638--2664 (2021; Zbl 1489.90214) Full Text: DOI arXiv
Feng, Lihong; Benner, Peter On error estimation for reduced-order modeling of linear non-parametric and parametric systems. (English) Zbl 1480.37086 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561-594 (2021). Reviewer: Hendrik Ranocha (Hamburg) MSC: 37M05 65P99 65L80 49Q12 PDFBibTeX XMLCite \textit{L. Feng} and \textit{P. Benner}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561--594 (2021; Zbl 1480.37086) Full Text: DOI arXiv
Le Balc’h, Kévin; Tucsnak, Marius A penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system. (English) Zbl 1467.49025 ESAIM, Control Optim. Calc. Var. 27, Paper No. 17, 30 p. (2021). MSC: 49N10 93B05 PDFBibTeX XMLCite \textit{K. Le Balc'h} and \textit{M. Tucsnak}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 17, 30 p. (2021; Zbl 1467.49025) Full Text: DOI
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 PDFBibTeX XMLCite \textit{J. P. Eason} and \textit{L. T. Biegler}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1--31 (2021; Zbl 1471.35281) Full Text: DOI
Li, Xiaobo; Wang, Xianfu; Krishan Lal, Manish A nonmonotone trust region method for unconstrained optimization problems on Riemannian manifolds. (English) Zbl 1471.65053 J. Optim. Theory Appl. 188, No. 2, 547-570 (2021). MSC: 65K05 65K10 90C48 49J40 PDFBibTeX XMLCite \textit{X. Li} et al., J. Optim. Theory Appl. 188, No. 2, 547--570 (2021; Zbl 1471.65053) Full Text: DOI
Brown, Louis Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport. (English) Zbl 1462.05192 J. Fourier Anal. Appl. 27, No. 2, Paper No. 36, 27 p. (2021). MSC: 05C35 05C85 05C90 31B10 44A99 49Q20 PDFBibTeX XMLCite \textit{L. Brown}, J. Fourier Anal. Appl. 27, No. 2, Paper No. 36, 27 p. (2021; Zbl 1462.05192) Full Text: DOI arXiv
Achdou, Yves; Laurière, Mathieu; Lions, Pierre-Louis Optimal control of conditioned processes with feedback controls. (English. French summary) Zbl 1459.93188 J. Math. Pures Appl. (9) 148, 308-341 (2021). MSC: 93E20 93B52 93B60 49K20 PDFBibTeX XMLCite \textit{Y. Achdou} et al., J. Math. Pures Appl. (9) 148, 308--341 (2021; Zbl 1459.93188) Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 31, No. 1, 518--544 (2021; Zbl 1461.90107) Full Text: DOI arXiv
Beattie, Christopher; Gugercin, Serkan; Tomljanović, Zoran Sampling-free model reduction of systems with low-rank parameterization. (English) Zbl 1464.93010 Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020). MSC: 93B11 93C05 93C15 49J15 93D20 PDFBibTeX XMLCite \textit{C. Beattie} et al., Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020; Zbl 1464.93010) Full Text: DOI
Lieder, Felix Solving large-scale cubic regularization by a generalized eigenvalue problem. (English) Zbl 1458.90589 SIAM J. Optim. 30, No. 4, 3345-3358 (2020). MSC: 90C30 90-08 49M15 65K05 PDFBibTeX XMLCite \textit{F. Lieder}, SIAM J. Optim. 30, No. 4, 3345--3358 (2020; Zbl 1458.90589) Full Text: DOI
Peherstorfer, Benjamin Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. (English) Zbl 1453.65286 SIAM J. Sci. Comput. 42, No. 5, A2803-A2836 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M99 65F50 49M15 PDFBibTeX XMLCite \textit{B. Peherstorfer}, SIAM J. Sci. Comput. 42, No. 5, A2803--A2836 (2020; Zbl 1453.65286) Full Text: DOI arXiv
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Reduced order optimal control of the convective FitzHugh-Nagumo equations. (English) Zbl 1448.49038 Comput. Math. Appl. 79, No. 4, 982-995 (2020). MSC: 49M41 49J20 49M05 49M25 65K10 65M60 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Comput. Math. Appl. 79, No. 4, 982--995 (2020; Zbl 1448.49038) Full Text: DOI arXiv
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust nonlinear optimization. (English) Zbl 1448.90068 SIAM J. Optim. 30, No. 3, 1996-2025 (2020). MSC: 90C17 90C26 90C46 90C59 49M37 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 30, No. 3, 1996--2025 (2020; Zbl 1448.90068) Full Text: DOI
Erway, Jennifer B.; Griffin, Joshua; Marcia, Roummel F.; Omheni, Riadh Trust-region algorithms for training responses: machine learning methods using indefinite Hessian approximations. (English) Zbl 1440.90092 Optim. Methods Softw. 35, No. 3, 460-487 (2020). MSC: 90C53 15A06 90C06 65K05 65K10 49M15 PDFBibTeX XMLCite \textit{J. B. Erway} et al., Optim. Methods Softw. 35, No. 3, 460--487 (2020; Zbl 1440.90092) Full Text: DOI arXiv
Burkovska, Olena; Gunzburger, Max Affine approximation of parametrized kernels and model order reduction for nonlocal and fractional Laplace models. (English) Zbl 1434.65224 SIAM J. Numer. Anal. 58, No. 3, 1469-1494 (2020). MSC: 65N15 35R11 49K40 65N12 PDFBibTeX XMLCite \textit{O. Burkovska} and \textit{M. Gunzburger}, SIAM J. Numer. Anal. 58, No. 3, 1469--1494 (2020; Zbl 1434.65224) Full Text: DOI arXiv
Jing, Guoxian; Gao, Haifeng; Xiang, Jiawei A level-set topological optimization method to analyze two-dimensional thermal problem using BEM. (English) Zbl 1481.74617 Appl. Math. Modelling 78, 37-56 (2020). MSC: 74P15 49Q12 PDFBibTeX XMLCite \textit{G. Jing} et al., Appl. Math. Modelling 78, 37--56 (2020; Zbl 1481.74617) Full Text: DOI
Alla, Alessandro; Saluzzi, Luca An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) (English) Zbl 1437.49039 Appl. Numer. Math. 155, 192-207 (2020). MSC: 49L20 93B52 49N35 49M25 90C39 35F21 PDFBibTeX XMLCite \textit{A. Alla} and \textit{L. Saluzzi}, Appl. Numer. Math. 155, 192--207 (2020; Zbl 1437.49039) Full Text: DOI arXiv
Nguyen, Van-Bong; Nguyen, Thi Ngan; Sheu, Ruey-Lin Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere. (English) Zbl 1472.90082 J. Glob. Optim. 76, No. 1, 121-135 (2020). Reviewer: Paulo Mbunga (Kiel) MSC: 90C20 90C22 90C26 90C46 49M20 PDFBibTeX XMLCite \textit{V.-B. Nguyen} et al., J. Glob. Optim. 76, No. 1, 121--135 (2020; Zbl 1472.90082) Full Text: DOI
Barucq, Hélène; Bekkey, Chokri; Djellouli, Rabia Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides. (English) Zbl 1461.65052 Inverse Probl. Sci. Eng. 27, No. 8, 1081-1119 (2019). MSC: 65F18 65F22 49M15 74J25 PDFBibTeX XMLCite \textit{H. Barucq} et al., Inverse Probl. Sci. Eng. 27, No. 8, 1081--1119 (2019; Zbl 1461.65052) Full Text: DOI HAL
Grote, Marcus J.; Nahum, Uri Adaptive eigenspace for multi-parameter inverse scattering problems. (English) Zbl 1442.49032 Comput. Math. Appl. 77, No. 12, 3264-3280 (2019). MSC: 49K45 35J05 35J25 35P25 35R30 78A46 PDFBibTeX XMLCite \textit{M. J. Grote} and \textit{U. Nahum}, Comput. Math. Appl. 77, No. 12, 3264--3280 (2019; Zbl 1442.49032) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco Numerical approximation of orthogonal maps. (English) Zbl 1435.65195 SIAM J. Sci. Comput. 41, No. 6, B1341-B1367 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65K10 65D18 65N20 49M20 35F30 PDFBibTeX XMLCite \textit{A. Caboussat} et al., SIAM J. Sci. Comput. 41, No. 6, B1341--B1367 (2019; Zbl 1435.65195) Full Text: DOI
Amiri, Erfan A.; Craig, James R.; Hirmand, M. Reza A trust region approach for numerical modeling of non-isothermal phase change. (English) Zbl 1425.86019 Comput. Geosci. 23, No. 5, 911-923 (2019). MSC: 86A40 49M25 49M37 65Z05 PDFBibTeX XMLCite \textit{E. A. Amiri} et al., Comput. Geosci. 23, No. 5, 911--923 (2019; Zbl 1425.86019) Full Text: DOI
Nino-Ruiz, Elias D.; Ardila, Carlos; Estrada, Jesus; Capacho, Jose A reduced-space line-search method for unconstrained optimization via random descent directions. (English) Zbl 1428.90136 Appl. Math. Comput. 341, 15-30 (2019). MSC: 90C26 49K10 49M05 49M15 65K05 PDFBibTeX XMLCite \textit{E. D. Nino-Ruiz} et al., Appl. Math. Comput. 341, 15--30 (2019; Zbl 1428.90136) Full Text: DOI
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation. (English) Zbl 1425.35135 Appl. Math. Optim. 80, No. 3, 599-641 (2019). MSC: 35Q30 49J20 49N35 93D05 93D15 PDFBibTeX XMLCite \textit{T. Breiten} et al., Appl. Math. Optim. 80, No. 3, 599--641 (2019; Zbl 1425.35135) Full Text: DOI arXiv
Guan, Hongbo; Wang, Yong; Zhu, Huiqing Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs. (English) Zbl 1472.49046 Appl. Math. Lett. 98, 438-445 (2019). MSC: 49K20 49M25 35Q93 65N35 PDFBibTeX XMLCite \textit{H. Guan} et al., Appl. Math. Lett. 98, 438--445 (2019; Zbl 1472.49046) Full Text: DOI
Manzoni, Andrea; Pagani, Stefano A certified RB method for PDE-constrained parametric optimization problems. (English) Zbl 1422.49007 Commun. Appl. Ind. Math. 10, No. 1, 123-152 (2019). MSC: 49J20 65K10 65M15 65M60 65N12 93C20 PDFBibTeX XMLCite \textit{A. Manzoni} and \textit{S. Pagani}, Commun. Appl. Ind. Math. 10, No. 1, 123--152 (2019; Zbl 1422.49007) Full Text: DOI
Ostermann, Alexander; Piazzola, Chiara; Walach, Hanna Convergence of a low-rank Lie-Trotter splitting for stiff matrix differential equations. (English) Zbl 1420.65072 SIAM J. Numer. Anal. 57, No. 4, 1947-1966 (2019). MSC: 65L04 65L20 65M12 65F30 49J20 PDFBibTeX XMLCite \textit{A. Ostermann} et al., SIAM J. Numer. Anal. 57, No. 4, 1947--1966 (2019; Zbl 1420.65072) Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P. Exploiting negative curvature in deterministic and stochastic optimization. (English) Zbl 1417.49036 Math. Program. 176, No. 1-2 (B), 69-94 (2019). MSC: 49M05 49M15 49M37 65K05 90C15 90C26 90C30 90C53 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{D. P. Robinson}, Math. Program. 176, No. 1--2 (B), 69--94 (2019; Zbl 1417.49036) Full Text: DOI arXiv
Peitz, Sebastian; Ober-Blöbaum, Sina; Dellnitz, Michael Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling. (English) Zbl 1415.76221 Acta Appl. Math. 161, 171-199 (2019). MSC: 76D55 35Q30 49K20 49M05 90C29 93C20 PDFBibTeX XMLCite \textit{S. Peitz} et al., Acta Appl. Math. 161, 171--199 (2019; Zbl 1415.76221) Full Text: DOI arXiv
Aravkin, Aleksandr Y.; Burke, James V.; Drusvyatskiy, Dmitry; Friedlander, Michael P.; Roy, Scott Level-set methods for convex optimization. (English) Zbl 1421.90111 Math. Program. 174, No. 1-2 (B), 359-390 (2019). MSC: 90C25 65K10 49M29 90-08 PDFBibTeX XMLCite \textit{A. Y. Aravkin} et al., Math. Program. 174, No. 1--2 (B), 359--390 (2019; Zbl 1421.90111) Full Text: DOI arXiv
Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty. (English) Zbl 1507.49020 Optim. Eng. 19, No. 3, 697-731 (2018). MSC: 49K20 35Q74 49K35 74P20 PDFBibTeX XMLCite \textit{P. Kolvenbach} et al., Optim. Eng. 19, No. 3, 697--731 (2018; Zbl 1507.49020) Full Text: DOI
Fehr, Jörg; Grunert, Dennis; Holzwarth, Philip; Fröhlich, Benjamin; Walker, Nadine; Eberhard, Peter Morembs – a model order reduction package for elastic multibody systems and beyond. (English) Zbl 1433.74004 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141-166 (2018). MSC: 74-04 65L60 65-04 74S99 34C20 74B20 65F15 65D05 41A05 49K15 PDFBibTeX XMLCite \textit{J. Fehr} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141--166 (2018; Zbl 1433.74004) Full Text: DOI
Bontinck, Zeger; Lass, Oliver; Rain, Oliver; Schöps, Sebastian Model order reduction for rotating electrical machines. (English) Zbl 1416.78022 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 121-140 (2018). MSC: 78M10 65N30 78A30 78A55 65N55 78M34 35H30 35Q93 49K20 93C20 78M50 PDFBibTeX XMLCite \textit{Z. Bontinck} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 121--140 (2018; Zbl 1416.78022) Full Text: DOI arXiv
Heinkenschloss, Matthias; Jando, Dörte Sequential reduced-order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1419.49036 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 73-98 (2018). MSC: 49M05 65F10 65F15 49N10 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 73--98 (2018; Zbl 1419.49036) Full Text: DOI
Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. (English) Zbl 1418.65165 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 47-72 (2018). MSC: 65N30 65M06 65N15 65K10 49K20 90C29 35K58 80A20 PDFBibTeX XMLCite \textit{D. Beermann} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 47--72 (2018; Zbl 1418.65165) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation. (English) Zbl 1407.65284 J. Sci. Comput. 77, No. 1, 53-78 (2018). MSC: 65N30 65K10 35J96 49M15 65M12 PDFBibTeX XMLCite \textit{A. Caboussat} et al., J. Sci. Comput. 77, No. 1, 53--78 (2018; Zbl 1407.65284) Full Text: DOI
Khan, Kamil A.; Larson, Jeffrey; Wild, Stefan M. Manifold sampling for optimization of nonconvex functions that are piecewise linear compositions of smooth components. (English) Zbl 1407.90351 SIAM J. Optim. 28, No. 4, 3001-3024 (2018). MSC: 90C56 49J52 PDFBibTeX XMLCite \textit{K. A. Khan} et al., SIAM J. Optim. 28, No. 4, 3001--3024 (2018; Zbl 1407.90351) Full Text: DOI
Janon, Alexandre; Nodet, Maëlle; Prieur, Christophe; Prieur, Clémentine Goal-oriented error estimation for parameter-dependent nonlinear problems. (English) Zbl 1401.49040 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 705-728 (2018). MSC: 49M30 49M25 62F12 65C20 82C80 35Q53 90C15 PDFBibTeX XMLCite \textit{A. Janon} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 2, 705--728 (2018; Zbl 1401.49040) Full Text: DOI
Stillfjord, Tony Singular value decay of operator-valued differential Lyapunov and Riccati equations. (English) Zbl 06950098 SIAM J. Control Optim. 56, No. 5, 3598-3618 (2018). MSC: 47A62 47A11 49N10 PDFBibTeX XMLCite \textit{T. Stillfjord}, SIAM J. Control Optim. 56, No. 5, 3598--3618 (2018; Zbl 06950098) Full Text: DOI arXiv
Sun, Ju; Qu, Qing; Wright, John A geometric analysis of phase retrieval. (English) Zbl 1401.94049 Found. Comput. Math. 18, No. 5, 1131-1198 (2018). MSC: 94A12 49K45 65K05 90C26 90C90 PDFBibTeX XMLCite \textit{J. Sun} et al., Found. Comput. Math. 18, No. 5, 1131--1198 (2018; Zbl 1401.94049) Full Text: DOI arXiv
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max Survey of multifidelity methods in uncertainty propagation, inference, and optimization. (English) Zbl 1458.65003 SIAM Rev. 60, No. 3, 550-591 (2018). MSC: 65-02 62-02 49-02 PDFBibTeX XMLCite \textit{B. Peherstorfer} et al., SIAM Rev. 60, No. 3, 550--591 (2018; Zbl 1458.65003) Full Text: DOI arXiv
Schmidt, Andreas; Haasdonk, Bernard Reduced basis approximation of large scale parametric algebraic Riccati equations. (English) Zbl 1396.49030 ESAIM, Control Optim. Calc. Var. 24, No. 1, 129-151 (2018). MSC: 49M30 49N05 93B36 34K35 93B52 65G99 PDFBibTeX XMLCite \textit{A. Schmidt} and \textit{B. Haasdonk}, ESAIM, Control Optim. Calc. Var. 24, No. 1, 129--151 (2018; Zbl 1396.49030) Full Text: DOI
Barucq, Hélène; Faucher, Florian; Pham, Ha Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion. (English) Zbl 1398.65275 J. Comput. Phys. 370, 1-24 (2018). MSC: 65N21 65K10 49M15 35J05 PDFBibTeX XMLCite \textit{H. Barucq} et al., J. Comput. Phys. 370, 1--24 (2018; Zbl 1398.65275) Full Text: DOI HAL
Benner, Peter; Goyal, Pawan; Gugercin, Serkan \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. (English) Zbl 1418.93048 SIAM J. Matrix Anal. Appl. 39, No. 2, 983-1032 (2018). MSC: 93B11 93A15 93C10 49L99 35Q93 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 983--1032 (2018; Zbl 1418.93048) Full Text: DOI arXiv
Mena, Hermann; Ostermann, Alexander; Pfurtscheller, Lena-Maria; Piazzola, Chiara Numerical low-rank approximation of matrix differential equations. (English) Zbl 1432.65090 J. Comput. Appl. Math. 340, 602-614 (2018). MSC: 65L05 49J20 65L10 65F45 PDFBibTeX XMLCite \textit{H. Mena} et al., J. Comput. Appl. Math. 340, 602--614 (2018; Zbl 1432.65090) Full Text: DOI arXiv
Baumann, Manuel; Benner, Peter; Heiland, Jan Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. (English) Zbl 1392.35323 SIAM J. Sci. Comput. 40, No. 3, A1611-A1641 (2018). MSC: 35Q93 65L60 49M25 65M22 93C20 PDFBibTeX XMLCite \textit{M. Baumann} et al., SIAM J. Sci. Comput. 40, No. 3, A1611--A1641 (2018; Zbl 1392.35323) Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza Complexity analysis of a trust funnel algorithm for equality constrained optimization. (English) Zbl 1391.49056 SIAM J. Optim. 28, No. 2, 1533-1563 (2018). MSC: 49M15 49M37 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 28, No. 2, 1533--1563 (2018; Zbl 1391.49056) Full Text: DOI arXiv
Benner, Peter; Mena, Hermann Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. (English) Zbl 1444.65032 J. Numer. Math. 26, No. 1, 1-20 (2018). MSC: 65L06 65N12 49N05 93C20 93D15 PDFBibTeX XMLCite \textit{P. Benner} and \textit{H. Mena}, J. Numer. Math. 26, No. 1, 1--20 (2018; Zbl 1444.65032) Full Text: DOI Link
Caboussat, Alexandre; Glowinski, Roland An alternating direction method of multipliers for the numerical solution of a fully nonlinear partial differential equation involving the Jacobian determinant. (English) Zbl 1380.65363 SIAM J. Sci. Comput. 40, No. 1, A52-A80 (2018). MSC: 65N30 65K10 49M20 35F30 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{R. Glowinski}, SIAM J. Sci. Comput. 40, No. 1, A52--A80 (2018; Zbl 1380.65363) Full Text: DOI
Heinkenschloss, Matthias; Jando, Dörte Reduced order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1386.49041 SIAM J. Sci. Comput. 40, No. 1, A22-A51 (2018). MSC: 49M05 65F10 65F15 93A15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, SIAM J. Sci. Comput. 40, No. 1, A22--A51 (2018; Zbl 1386.49041) Full Text: DOI
Wick, Thomas Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation. (English) Zbl 1439.74375 Comput. Methods Appl. Mech. Eng. 325, 577-611 (2017). MSC: 74R10 35Q74 49M15 74S05 65M60 74F10 PDFBibTeX XMLCite \textit{T. Wick}, Comput. Methods Appl. Mech. Eng. 325, 577--611 (2017; Zbl 1439.74375) Full Text: DOI
Alkilayh, Maged; Reichel, Lothar; Yuan, Jin Yun New zero-finders for trust-region computations. (English) Zbl 1394.65040 Numer. Algorithms 76, No. 2, 361-375 (2017). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 49M15 49M37 PDFBibTeX XMLCite \textit{M. Alkilayh} et al., Numer. Algorithms 76, No. 2, 361--375 (2017; Zbl 1394.65040) Full Text: DOI
Lass, Oliver; Ulbrich, Stefan Model order reduction techniques with a posteriori error control for nonlinear robust optimization governed by partial differential equations. (English) Zbl 1428.35644 SIAM J. Sci. Comput. 39, No. 5, S112-S139 (2017). MSC: 35Q93 49J20 49K20 90C31 93C20 PDFBibTeX XMLCite \textit{O. Lass} and \textit{S. Ulbrich}, SIAM J. Sci. Comput. 39, No. 5, S112--S139 (2017; Zbl 1428.35644) Full Text: DOI
Alla, A.; Falcone, M.; Volkwein, S. Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. (English) Zbl 1378.49025 SIAM J. Control Optim. 55, No. 5, 3091-3115 (2017). MSC: 49L20 90C39 35K20 49L25 49J20 65N99 49M25 PDFBibTeX XMLCite \textit{A. Alla} et al., SIAM J. Control Optim. 55, No. 5, 3091--3115 (2017; Zbl 1378.49025) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. The use of quadratic regularization with a cubic descent condition for unconstrained optimization. (English) Zbl 1370.90260 SIAM J. Optim. 27, No. 2, 1049-1074 (2017). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, SIAM J. Optim. 27, No. 2, 1049--1074 (2017; Zbl 1370.90260) Full Text: DOI
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza A trust region algorithm with a worst-case iteration complexity of \(\mathcal{O}(\epsilon ^{-3/2})\) for nonconvex optimization. (English) Zbl 1360.49020 Math. Program. 162, No. 1-2 (A), 1-32 (2017). MSC: 49M15 49M37 58C15 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 162, No. 1--2 (A), 1--32 (2017; Zbl 1360.49020) Full Text: DOI
Kao, Chiu-Yen; Lai, Rongjie; Osting, Braxton Maximization of Laplace-Beltrami eigenvalues on closed Riemannian surfaces. (English) Zbl 1362.35199 ESAIM, Control Optim. Calc. Var. 23, No. 2, 685-720 (2017). MSC: 35P15 49Q10 65N25 58J50 58C40 35A15 35R01 PDFBibTeX XMLCite \textit{C.-Y. Kao} et al., ESAIM, Control Optim. Calc. Var. 23, No. 2, 685--720 (2017; Zbl 1362.35199) Full Text: DOI arXiv
Adachi, Satoru; Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko Solving the trust-region subproblem by a generalized eigenvalue problem. (English) Zbl 1359.49009 SIAM J. Optim. 27, No. 1, 269-291 (2017). MSC: 49M37 65K10 90C25 90C30 PDFBibTeX XMLCite \textit{S. Adachi} et al., SIAM J. Optim. 27, No. 1, 269--291 (2017; Zbl 1359.49009) Full Text: DOI
Dolgov, Sergey; Pearson, John W.; Savostyanov, Dmitry V.; Stoll, Martin Fast tensor product solvers for optimization problems with fractional differential equations as constraints. (English) Zbl 1410.49018 Appl. Math. Comput. 273, 604-623 (2016). MSC: 49K20 35R11 49M25 PDFBibTeX XMLCite \textit{S. Dolgov} et al., Appl. Math. Comput. 273, 604--623 (2016; Zbl 1410.49018) Full Text: DOI Link
Schaeffer, Hayden; Hou, Thomas Y. An accelerated method for nonlinear elliptic PDE. (English) Zbl 1368.65004 J. Sci. Comput. 69, No. 2, 556-580 (2016). MSC: 65B05 65N06 65M22 49L25 35J60 35B51 35J70 PDFBibTeX XMLCite \textit{H. Schaeffer} and \textit{T. Y. Hou}, J. Sci. Comput. 69, No. 2, 556--580 (2016; Zbl 1368.65004) Full Text: DOI
Singler, John; Kramer, Boris A POD projection method for large-scale algebraic Riccati equations. (English) Zbl 1355.49027 Numer. Algebra Control Optim. 6, No. 4, 413-435 (2016). MSC: 49M27 93A15 93B11 PDFBibTeX XMLCite \textit{J. Singler} and \textit{B. Kramer}, Numer. Algebra Control Optim. 6, No. 4, 413--435 (2016; Zbl 1355.49027) Full Text: DOI
Sepulveda, Lilian S.; Vasilieva, Olga Optimal control approach to dengue reduction and prevention in Cali, Colombia. (English) Zbl 1353.92100 Math. Methods Appl. Sci. 39, No. 18, 5475-5496 (2016). MSC: 92D30 49M05 49N90 PDFBibTeX XMLCite \textit{L. S. Sepulveda} and \textit{O. Vasilieva}, Math. Methods Appl. Sci. 39, No. 18, 5475--5496 (2016; Zbl 1353.92100) Full Text: DOI
Akman, Tuğba Sensitivity analysis approach for reduced-order approximations of optimal control problems governed by Burgers equation. (English) Zbl 1353.49043 Optim. Control Appl. Methods 37, No. 6, 1175-1192 (2016). MSC: 49M27 49J20 35Q53 PDFBibTeX XMLCite \textit{T. Akman}, Optim. Control Appl. Methods 37, No. 6, 1175--1192 (2016; Zbl 1353.49043) Full Text: DOI
Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez On the controllability of diffusion processes on a sphere: a numerical study. (English) Zbl 1353.49042 ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054-1077 (2016). MSC: 49M25 93B05 49K20 65K10 65M60 93C20 58E25 PDFBibTeX XMLCite \textit{D. A. L. Velasco} et al., ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054--1077 (2016; Zbl 1353.49042) Full Text: DOI
Simoncini, V. Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. (English) Zbl 06655499 SIAM J. Matrix Anal. Appl. 37, No. 4, 1655-1674 (2016). MSC: 47J20 65F30 49M99 49N35 93B52 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1655--1674 (2016; Zbl 06655499) Full Text: DOI arXiv
Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N. Sparse sensor placement optimization for classification. (English) Zbl 1350.49037 SIAM J. Appl. Math. 76, No. 5, 2099-2122 (2016). MSC: 49M30 49N30 94A13 94A20 94A08 PDFBibTeX XMLCite \textit{B. W. Brunton} et al., SIAM J. Appl. Math. 76, No. 5, 2099--2122 (2016; Zbl 1350.49037) Full Text: DOI
Gratton, S.; Royer, C. W.; Vicente, L. N. A second-order globally convergent direct-search method and its worst-case complexity. (English) Zbl 1338.90463 Optimization 65, No. 6, 1105-1128 (2016). MSC: 90C56 90C60 49M05 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optimization 65, No. 6, 1105--1128 (2016; Zbl 1338.90463) Full Text: DOI Link
Amstutz, Samuel; Ciligot-Travain, Marc A notion of compliance robustness in topology optimization. (English) Zbl 1335.49069 ESAIM, Control Optim. Calc. Var. 22, No. 1, 64-87 (2016). MSC: 49Q10 49M29 74P05 74P10 74P15 90C20 PDFBibTeX XMLCite \textit{S. Amstutz} and \textit{M. Ciligot-Travain}, ESAIM, Control Optim. Calc. Var. 22, No. 1, 64--87 (2016; Zbl 1335.49069) Full Text: DOI Link
Heiland, Jan A differential-algebraic Riccati equation for applications in flow control. (English) Zbl 1335.49006 SIAM J. Control Optim. 54, No. 2, 718-739 (2016). MSC: 49J15 49J21 49M30 34H05 PDFBibTeX XMLCite \textit{J. Heiland}, SIAM J. Control Optim. 54, No. 2, 718--739 (2016; Zbl 1335.49006) Full Text: DOI Link
Suwartadi, Eka; Krogstad, Stein; Foss, Bjarne Adjoint-based surrogate optimization of oil reservoir water flooding. (English) Zbl 1365.90244 Optim. Eng. 16, No. 2, 441-481 (2015). MSC: 90C30 49M37 49J20 PDFBibTeX XMLCite \textit{E. Suwartadi} et al., Optim. Eng. 16, No. 2, 441--481 (2015; Zbl 1365.90244) Full Text: DOI
Zahr, Matthew J.; Farhat, Charbel Progressive construction of a parametric reduced-order model for PDE-constrained optimization. (English) Zbl 1352.49029 Int. J. Numer. Methods Eng. 102, No. 5, 1111-1135 (2015). MSC: 49M25 65N30 PDFBibTeX XMLCite \textit{M. J. Zahr} and \textit{C. Farhat}, Int. J. Numer. Methods Eng. 102, No. 5, 1111--1135 (2015; Zbl 1352.49029) Full Text: DOI arXiv
Gejadze, I. Yu.; Shutyaev, V. On Gauss-verifiability of optimal solutions in variational data assimilation problems with nonlinear dynamics. (English) Zbl 1349.49037 J. Comput. Phys. 280, 439-456 (2015). MSC: 49M27 49N90 PDFBibTeX XMLCite \textit{I. Yu. Gejadze} and \textit{V. Shutyaev}, J. Comput. Phys. 280, 439--456 (2015; Zbl 1349.49037) Full Text: DOI HAL
Kunisch, Karl; Müller, Markus Uniform convergence of the POD method and applications to optimal control. (English) Zbl 1337.65053 Discrete Contin. Dyn. Syst. 35, No. 9, 4477-4501 (2015). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 65K10 35K20 49J20 49M27 PDFBibTeX XMLCite \textit{K. Kunisch} and \textit{M. Müller}, Discrete Contin. Dyn. Syst. 35, No. 9, 4477--4501 (2015; Zbl 1337.65053) Full Text: DOI