Mazari, Idriss Some comparison results and a partial bang-bang property for two-phases problems in balls. (English) Zbl 07817645 Math. Eng. (Springfield) 5, No. 1, Paper No. 10, 23 p. (2023). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{I. Mazari}, Math. Eng. (Springfield) 5, No. 1, Paper No. 10, 23 p. (2023; Zbl 07817645) Full Text: DOI
Dapogny, Charles; Feppon, Florian Shape optimization using a level set based mesh evolution method: an overview and tutorial. (Une stratégie d’évolution de maillage basée sur la méthode des lignes de niveaux pour l’optimisation de formes: survol et mise en pratique.) (English. French summary) Zbl 07811798 C. R., Math., Acad. Sci. Paris 361, 1267-1332 (2023). MSC: 49Q10 49M41 65K05 65N50 74P05 74P10 90C90 PDFBibTeX XMLCite \textit{C. Dapogny} and \textit{F. Feppon}, C. R., Math., Acad. Sci. Paris 361, 1267--1332 (2023; Zbl 07811798) Full Text: DOI
Ftouhi, Ilias Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains. (English) Zbl 07741146 Commun. Contemp. Math. 25, No. 10, Article ID 2250054, 44 p. (2023). Reviewer: Flavia-Corina Mitroi-Symeonidis (Bucureşti) MSC: 52A40 52A05 65K15 52A10 52A38 PDFBibTeX XMLCite \textit{I. Ftouhi}, Commun. Contemp. Math. 25, No. 10, Article ID 2250054, 44 p. (2023; Zbl 07741146) Full Text: DOI
Rabago, Julius Fergy T. On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems. (English) Zbl 1522.49041 Math. Control Relat. Fields 13, No. 4, 1362-1398 (2023). MSC: 49Q10 49K20 65K10 PDFBibTeX XMLCite \textit{J. F. T. Rabago}, Math. Control Relat. Fields 13, No. 4, 1362--1398 (2023; Zbl 1522.49041) Full Text: DOI arXiv
Fallahpour, Merlin; Harbrecht, Helmut Shape optimization for composite materials in linear elasticity. (English) Zbl 1522.65207 Optim. Eng. 24, No. 3, 2115-2143 (2023). MSC: 65N30 65K10 74P10 74B10 74E30 74N15 49Q05 49Q12 35B27 35B36 74S05 35Q74 PDFBibTeX XMLCite \textit{M. Fallahpour} and \textit{H. Harbrecht}, Optim. Eng. 24, No. 3, 2115--2143 (2023; Zbl 1522.65207) Full Text: DOI
Attouch, Hedy; Boţ, Radu Ioan; Csetnek, Ernö Robert Fast optimization via inertial dynamics with closed-loop damping. (English) Zbl 1523.37103 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1985-2056 (2023). MSC: 37N40 46N10 49M15 65K05 65K10 90C25 PDFBibTeX XMLCite \textit{H. Attouch} et al., J. Eur. Math. Soc. (JEMS) 25, No. 5, 1985--2056 (2023; Zbl 1523.37103) Full Text: DOI arXiv
Ftouhi, Ilias; Zuazua, Enrique Optimal design of sensors via geometric criteria. (English) Zbl 1521.49029 J. Geom. Anal. 33, No. 8, Paper No. 253, 29 p. (2023). Reviewer: Giorgio Saracco (Firenze) MSC: 49Q10 52A40 65K99 49K21 PDFBibTeX XMLCite \textit{I. Ftouhi} and \textit{E. Zuazua}, J. Geom. Anal. 33, No. 8, Paper No. 253, 29 p. (2023; Zbl 1521.49029) Full Text: DOI
Birgin, E. G.; Fernandez, L.; Haeser, G.; Laurain, A. Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls. (English) Zbl 1514.35296 J. Geom. Anal. 33, No. 6, Paper No. 184, 28 p. (2023). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 35P15 35J25 49M41 49Q10 65H17 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Geom. Anal. 33, No. 6, Paper No. 184, 28 p. (2023; Zbl 1514.35296) Full Text: DOI
Dendani, Yazid; Ghanem, Radouen A priori error estimates for obstacle optimal control problem, where the obstacle is the control itself. (English) Zbl 07661758 J. Comput. Math. 41, No. 4, 693-716 (2023). MSC: 65M60 49J20 35R35 PDFBibTeX XMLCite \textit{Y. Dendani} and \textit{R. Ghanem}, J. Comput. Math. 41, No. 4, 693--716 (2023; Zbl 07661758) Full Text: DOI
Geshkovski, Borjan; Zuazua, Enrique Turnpike in optimal control of PDEs, ResNets, and beyond. (English) Zbl 07674581 Acta Numerica 31, 135-263 (2022). MSC: 65Mxx 76-XX PDFBibTeX XMLCite \textit{B. Geshkovski} and \textit{E. Zuazua}, Acta Numerica 31, 135--263 (2022; Zbl 07674581) Full Text: DOI arXiv
Sun, Chunlong; Zhang, Zhidong Uniqueness and numerical inversion in the time-domain fluorescence diffuse optical tomography. (English) Zbl 1504.65194 Inverse Probl. 38, No. 10, Article ID 104001, 23 p. (2022). MSC: 65M32 65M30 65J20 65K10 65H10 65D07 78A46 92C55 35B65 35A02 44A10 49M41 35R30 35R25 35Q20 35Q60 35Q92 PDFBibTeX XMLCite \textit{C. Sun} and \textit{Z. Zhang}, Inverse Probl. 38, No. 10, Article ID 104001, 23 p. (2022; Zbl 1504.65194) Full Text: DOI arXiv
Gong, Wei; Li, Buyang; Yang, Huanhuan Optimal control in a bounded domain for wave propagating in the whole space: coupling through boundary integral equations. (English) Zbl 1502.65120 J. Sci. Comput. 92, No. 3, Paper No. 91, 52 p. (2022). MSC: 65M60 65M06 65N30 65N38 65R20 65D30 65M12 65M15 49M41 35B65 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{W. Gong} et al., J. Sci. Comput. 92, No. 3, Paper No. 91, 52 p. (2022; Zbl 1502.65120) Full Text: DOI
Duan, Xianbao; Li, Yichen; Tan, Hongxia; Li, Yangyang Adaptive level set method applied to drag minimization problems constrained by Stokes equations. (English) Zbl 07533168 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 2, 257-271 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{X. Duan} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 2, 257--271 (2022; Zbl 07533168) Full Text: DOI
Li, Jiajie; Zhu, Shengfeng On distributed \(H^1\) shape gradient flows in optimal shape design of Stokes flows: convergence analysis and numerical applications. (English) Zbl 1499.49099 J. Comput. Math. 40, No. 2, 231-257 (2022). MSC: 49Q10 49Q12 76D55 76M10 65K10 PDFBibTeX XMLCite \textit{J. Li} and \textit{S. Zhu}, J. Comput. Math. 40, No. 2, 231--257 (2022; Zbl 1499.49099) Full Text: DOI
Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas Optimal control strategies for the sterile mosquitoes technique. (English) Zbl 1480.92161 J. Differ. Equations 311, 229-266 (2022). MSC: 92D25 92D30 49K15 65K10 PDFBibTeX XMLCite \textit{L. Almeida} et al., J. Differ. Equations 311, 229--266 (2022; Zbl 1480.92161) Full Text: DOI arXiv
Mazari, Idriss; Nadin, Grégoire; Toledo Marrero, Ana Isis Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. (English) Zbl 1483.35304 Nonlinearity 34, No. 11, 7510-7539 (2021). MSC: 35Q93 35B30 35B65 35K15 35K57 37K58 49Q10 49M41 65K10 90C20 90C59 92D25 35C20 PDFBibTeX XMLCite \textit{I. Mazari} et al., Nonlinearity 34, No. 11, 7510--7539 (2021; Zbl 1483.35304) Full Text: DOI arXiv
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas Optimization of spatial control strategies for population replacement, application to Wolbachia. (English) Zbl 1471.92250 ESAIM, Control Optim. Calc. Var. 27, Paper No. 74, 30 p. (2021). MSC: 92D25 92D45 49K15 65K10 PDFBibTeX XMLCite \textit{M. Duprez} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 74, 30 p. (2021; Zbl 1471.92250) Full Text: DOI arXiv
Courtais, Alexis; Latifi, Abderrazak M.; Lesage, François; Privat, Yannick Shape optimization of fixed-bed reactors in process engineering. (English) Zbl 1467.49043 SIAM J. Appl. Math. 81, No. 3, 1141-1165 (2021). MSC: 49S05 49M05 65K10 35Q30 49Q10 PDFBibTeX XMLCite \textit{A. Courtais} et al., SIAM J. Appl. Math. 81, No. 3, 1141--1165 (2021; Zbl 1467.49043) Full Text: DOI
Oksanen, Lauri; Salo, Mikko Inverse problems in imaging and engineering science. (English) Zbl 07511702 Math. Eng. (Springfield) 2, No. 2, 287-289 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L. Oksanen} and \textit{M. Salo}, Math. Eng. (Springfield) 2, No. 2, 287--289 (2020; Zbl 07511702) Full Text: DOI
Ghanem, Radouen; Zireg, Billel Numerical solution of bilateral obstacle optimal control problem, where the controls and the obstacles coincide. (English) Zbl 1477.65099 Numer. Algebra Control Optim. 10, No. 3, 275-300 (2020). MSC: 65K15 49J40 49M05 49M25 PDFBibTeX XMLCite \textit{R. Ghanem} and \textit{B. Zireg}, Numer. Algebra Control Optim. 10, No. 3, 275--300 (2020; Zbl 1477.65099) Full Text: DOI
Castro, P.; De los Reyes, J. C. A bilevel learning approach for optimal observation placement in variational data assimilation. (English) Zbl 1473.35608 Inverse Probl. 36, No. 3, Article ID 035020, 32 p. (2020). MSC: 35Q93 49K20 49J20 49M15 49M41 65J22 90C06 90C53 68T05 PDFBibTeX XMLCite \textit{P. Castro} and \textit{J. C. De los Reyes}, Inverse Probl. 36, No. 3, Article ID 035020, 32 p. (2020; Zbl 1473.35608) Full Text: DOI arXiv
Boyer, Franck; Hernández-Santamaría, Víctor Carleman estimates for time-discrete parabolic equations and applications to controllability. (English) Zbl 1442.93006 ESAIM, Control Optim. Calc. Var. 26, Paper No. 12, 43 p. (2020). MSC: 93B05 35K20 65M06 93B07 93C55 PDFBibTeX XMLCite \textit{F. Boyer} and \textit{V. Hernández-Santamaría}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 12, 43 p. (2020; Zbl 1442.93006) Full Text: DOI HAL
Sabrine, Chebbi; Makram, Hamouda Discrete energy behavior of a damped Timoshenko system. (English) Zbl 1449.65257 Comput. Appl. Math. 39, No. 1, Paper No. 4, 19 p. (2020). MSC: 65M60 65M06 35B35 58J45 35Q74 PDFBibTeX XMLCite \textit{C. Sabrine} and \textit{H. Makram}, Comput. Appl. Math. 39, No. 1, Paper No. 4, 19 p. (2020; Zbl 1449.65257) Full Text: DOI arXiv
Liu, Jun; Pearson, John W. Parameter-robust preconditioning for the optimal control of the wave equation. (English) Zbl 07171737 Numer. Algorithms 83, No. 3, 1171-1203 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. W. Pearson}, Numer. Algorithms 83, No. 3, 1171--1203 (2020; Zbl 07171737) Full Text: DOI Link
Touboul, Jonathan Erratum on: “Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain”. (English) Zbl 1428.35646 Math. Control Relat. Fields 9, No. 1, 221-222 (2019). MSC: 35Q93 35A35 35K05 93B03 65M06 PDFBibTeX XMLCite \textit{J. Touboul}, Math. Control Relat. Fields 9, No. 1, 221--222 (2019; Zbl 1428.35646) Full Text: DOI
Frederick, Christina; Ren, Kui; Vallélian, Sarah Image reconstruction in quantitative photoacoustic tomography with the simplified \(P_2\) approximation. (English) Zbl 1423.35441 SIAM J. Imaging Sci. 11, No. 4, 2847-2876 (2018). MSC: 35R30 65M32 65Z05 74J25 78A60 78A70 80A23 PDFBibTeX XMLCite \textit{C. Frederick} et al., SIAM J. Imaging Sci. 11, No. 4, 2847--2876 (2018; Zbl 1423.35441) Full Text: DOI arXiv
Kalise, Dante; Kunisch, Karl; Sturm, Kevin Optimal actuator design based on shape calculus. (English) Zbl 1411.49030 Math. Models Methods Appl. Sci. 28, No. 13, 2667-2717 (2018). MSC: 49Q10 49M05 93B40 65D99 93C20 49N35 PDFBibTeX XMLCite \textit{D. Kalise} et al., Math. Models Methods Appl. Sci. 28, No. 13, 2667--2717 (2018; Zbl 1411.49030) Full Text: DOI arXiv
Ta, Thi Thanh Mai; Le, Van Chien; Pham, Ha Thanh Corrigendum to: “Shape optimization for Stokes flows using sensitivity analysis and finite element method”. (English) Zbl 1466.65204 Appl. Numer. Math. 129, 192 (2018). MSC: 65N30 76D07 49Q10 49Q12 76M10 PDFBibTeX XMLCite \textit{T. T. M. Ta} et al., Appl. Numer. Math. 129, 192 (2018; Zbl 1466.65204) Full Text: DOI
Haltmeier, Markus; Neumann, Lukas; Nguyen, Linh; Rabanser, Simon Analysis of the linearized problem of quantitative photoacoustic tomography. (English) Zbl 1383.65013 SIAM J. Appl. Math. 78, No. 1, 457-478 (2018). MSC: 65D18 94A08 65M32 35L05 PDFBibTeX XMLCite \textit{M. Haltmeier} et al., SIAM J. Appl. Math. 78, No. 1, 457--478 (2018; Zbl 1383.65013) Full Text: DOI arXiv
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
Duan, Xianbao; Qin, Xinqiang Optimality criteria coupled adaptive mesh method for optimal shape design of Stokes flow. (English) Zbl 1344.49067 Math. Methods Appl. Sci. 39, No. 13, 3910-3920 (2016). MSC: 49Q10 49M25 49M05 49Q12 65K10 76D07 76D55 PDFBibTeX XMLCite \textit{X. Duan} and \textit{X. Qin}, Math. Methods Appl. Sci. 39, No. 13, 3910--3920 (2016; Zbl 1344.49067) Full Text: DOI
Alla, Alessandro; Falcone, Maurizio; Kalise, Dante A HJB-POD feedback synthesis approach for the wave equation. (English) Zbl 1338.49063 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 51-64 (2016). MSC: 49M27 49L20 49N35 49J20 90C39 93B52 35L05 65K10 78M34 PDFBibTeX XMLCite \textit{A. Alla} et al., Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 51--64 (2016; Zbl 1338.49063) 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
Li, Buyang; Liu, Jun; Xiao, Mingqing A fast and stable preconditioned iterative method for optimal control problem of wave equations. (English) Zbl 1327.49052 SIAM J. Sci. Comput. 37, No. 6, A2508-A2534 (2015). MSC: 49M25 49M05 49K20 35L05 65N06 65N12 65N22 65F08 65F10 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Sci. Comput. 37, No. 6, A2508--A2534 (2015; Zbl 1327.49052) Full Text: DOI
Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. (English) Zbl 1303.49017 J. Sci. Comput. 60, No. 3, 537-563 (2014). MSC: 49Q10 49J20 65K10 65N30 76D55 PDFBibTeX XMLCite \textit{F. Ballarin} et al., J. Sci. Comput. 60, No. 3, 537--563 (2014; Zbl 1303.49017) Full Text: DOI
Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. (English) Zbl 1284.93039 J. Differ. Equations 256, No. 11, 3524-3551 (2014). MSC: 93B05 81Q93 93C20 35Q41 65M60 PDFBibTeX XMLCite \textit{U. Boscain} et al., J. Differ. Equations 256, No. 11, 3524--3551 (2014; Zbl 1284.93039) Full Text: DOI arXiv
Henrot, Antoine; Privat, Yannick Shape minimization of dendritic attenuation. (English) Zbl 1133.92003 Appl. Math. Optimization 57, No. 1, 1-16 (2008). MSC: 92C20 35Q92 65K10 49N90 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, Appl. Math. Optim. 57, No. 1, 1--16 (2008; Zbl 1133.92003) Full Text: DOI arXiv