Molinarolo, Riccardo Existence result for a nonlinear mixed boundary value problem for the heat equation. (English) Zbl 07946877 J. Math. Anal. Appl. 543, No. 1, Article ID 128878, 23 p. (2025). MSC: 35K60 35K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Birgin, Ernesto G.; Gardenghi, John L.; Laurain, Antoine Bounds on the optimal radius when covering a set with minimum radius identical disks. (English) Zbl 07940072 Math. Oper. Res. 49, No. 3, 1855-1889 (2024). MSC: 49Q10 49J52 49Q12 52Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Hay, Quintessa; Pak, Eunice; Gardner, Luke; Shaw, Anna; Roger, Liza M.; Lewinski, Nastassja A.; Segal, Rebecca A.; Reynolds, Angela M. A mathematical model for wound healing in the reef-building coral Pocillopora damicornis. (English) Zbl 07902705 J. Theor. Biol. 593, Article ID 111897, 13 p. (2024). MSC: 92C32 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Dölz, Jürgen; Ebert, David; Schöps, Sebastian; Ziegler, Anna Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities. (English) Zbl 07875043 Comput. Methods Appl. Mech. Eng. 428, Article ID 117108, 21 p. (2024). MSC: 78A99 78M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Afraites, Lekbir; Rabago, Julius Fergy T. Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements. (English) Zbl 07872436 Comput. Appl. Math. 43, No. 5, Paper No. 270, 37 p. (2024). MSC: 49Q10 35R25 35R30 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stamatelopoulos, Stamatios; Khan, Shahroz; Kaklis, Panagiotis Accelerating dimensionality reduction in wave-resistance problems through geometric operators. (English) Zbl 07867442 Comput. Methods Appl. Mech. Eng. 427, Article ID 117058, 28 p. (2024). MSC: 76M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Junqing; Jin, Bangti; Liu, Haibo Solving inverse obstacle scattering problem with latent surface representations. (English) Zbl 1544.49032 Inverse Probl. 40, No. 6, Article ID 065013, 30 p. (2024). MSC: 49N45 35J05 35R30 49Q10 49Q12 65K10 65N21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakib, Abdelkrim; Khalil, Ibrahim; Sadik, Azeddine An improved numerical approach for solving shape optimization problems on convex domains. (English) Zbl 1545.65258 Numer. Algorithms 96, No. 2, 621-663 (2024). MSC: 65K10 46N10 49Q10 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Guhr, Fabian; Barthold, Franz-Joseph Variational sensitivity analysis and shape optimisation applied to a non-local, ductile damage model. (English) Zbl 07850333 Comput. Mech. 73, No. 3, 507-531 (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Gufler, Veit; Zwölfer, Andreas; Wehrle, Erich Analytical derivatives of flexible multibody dynamics with the floating frame of reference formulation. (English) Zbl 07843091 Multibody Syst. Dyn. 60, No. 2, 257-288 (2024). MSC: 70E55 × Cite Format Result Cite Review PDF Full Text: DOI
Ekici, Ekrem; Falco, Stefano; Juniper, Matthew P. Shape sensitivity of thermoacoustic oscillations in an annular combustor with a 3D adjoint Helmholtz solver. (English) Zbl 1539.76196 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116572, 22 p. (2024). MSC: 76Q05 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Riva, Matteo Dalla; Luzzini, Paolo; Molinarolo, Riccardo; Musolino, Paolo Multi-parameter perturbations for the space-periodic heat equation. (English) Zbl 1534.35012 Commun. Pure Appl. Anal. 23, No. 2, 144-164 (2024). MSC: 35B20 35B30 35K20 31B10 47H30 45A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Fang; Yang, Hui; Zhu, Shengfeng Shape optimization with virtual element method. (English) Zbl 1533.65225 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107876, 20 p. (2024). MSC: 65N30 65N50 65K10 65N85 49Q10 49M41 49R05 49J20 49K40 35A15 35J25 76D07 76M21 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Arop, Martin; Kasumba, Henry; Kasozi, Juma; Berntsson, Fredrik Optimal actuator placement for control of vibrations induced by pedestrian-bridge interactions. (English) Zbl 1544.49034 Math. Appl. Sci. Eng. 4, No. 3, 172-195 (2023). MSC: 49Q10 49Q12 93C95 × Cite Format Result Cite Review PDF Full Text: DOI
Silva, Olavo M.; Serafim, Luisa P.; Mareze, Paulo H.; Fonseca, William D’Andrea; Cardoso, Eduardo L. Discrete approach for shape optimization of 2D time-harmonic acoustic radiation problems solved by BEM using the fully-analytical adjoint method. (English) Zbl 1539.74504 Eng. Anal. Bound. Elem. 156, 548-571 (2023). MSC: 74S15 65N38 74P20 76Q05 76M15 × Cite Format Result Cite Review PDF Full Text: DOI
Lamberti, Pier Domenico; Zaccaron, Michele Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities. (English) Zbl 1535.35126 Math. Eng. (Springfield) 5, No. 1, Paper No. 18, 31 p. (2023). MSC: 35P15 35Q61 78M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui Shape reconstructions by using plasmon resonances with enhanced sensitivity. (English) Zbl 07788136 J. Comput. Phys. 486, Article ID 112131, 23 p. (2023). MSC: 35Rxx 78Axx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delfour, Michel C. Hadamard semidifferential of continuous convex functions. (English) Zbl 07774544 Pure Appl. Funct. Anal. 8, No. 5, 1341-1356 (2023). MSC: 26B25 58C25 46G05 46T20 26E15 26E20 49Q10 49Q12 58C20 × Cite Format Result Cite Review PDF Full Text: Link
Adly, Samir; Bourdin, Loïc; Caubet, Fabien; Jacob de Cordemoy, Aymeric Shape optimization for variational inequalities: the scalar Tresca friction problem. (English) Zbl 1523.49045 SIAM J. Optim. 33, No. 4, 2512-2541 (2023). MSC: 49Q10 49Q12 49J40 74M10 74M15 74P10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chunxiao; Zhu, Shengfeng On finite element approximations to a shape gradient flow in shape optimization of elliptic problems. (English) Zbl 1538.65532 J. Comput. Math. 41, No. 5, 956-979 (2023). MSC: 65N30 49Q12 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Birgin, E. G.; Laurain, A.; Menezes, T. C. Sensitivity analysis and tailored design of minimization diagrams. (English) Zbl 1520.49021 Math. Comput. 92, No. 344, 2715-2768 (2023). MSC: 49Q12 49J52 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noguchi, Yuki; Yamada, Takayuki Level set-based shape optimization of deformable structures for achieving desired sound transmission and reflective responses. (English) Zbl 1539.74356 Comput. Methods Appl. Mech. Eng. 414, Article ID 116190, 25 p. (2023). MSC: 74P20 76Q05 74P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gangl, P.; Gfrerer, M. H. A unified approach to shape and topological sensitivity analysis of discretized optimal design problems. (English) Zbl 1517.49026 Appl. Math. Optim. 88, No. 2, Paper No. 46, 52 p. (2023). MSC: 49Q12 49Q10 65K10 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakib, Abdelkrim; Khalil, Ibrahim; Ouaissa, Hamid; Sadik, Azeddine On an effective approach in shape optimization problem for Stokes equation. (English) Zbl 1527.49032 Optim. Lett. 17, No. 6, 1487-1494 (2023). MSC: 49Q10 49M41 49Q12 76D55 × Cite Format Result Cite Review PDF Full Text: DOI
Dhif, R.; Meftahi, H.; Rjaibi, B. Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques. (English) Zbl 1530.35214 Asymptotic Anal. 132, No. 1-2, 261-284 (2023). MSC: 35Q35 35R30 76S05 49Q10 49K20 49K40 49M41 35B40 35A01 65M32 65M60 76M21 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Delfour, Michel C. One-sided derivative of parametrized minima for shape and topological derivatives. (English) Zbl 1523.49029 SIAM J. Control Optim. 61, No. 3, 1322-1349 (2023). MSC: 49K40 49Q12 49R05 65K10 74P05 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jiajie; Zhu, Shengfeng Shape optimization of the Stokes eigenvalue problem. (English) Zbl 1512.65254 SIAM J. Sci. Comput. 45, No. 2, A798-A828 (2023). MSC: 65N25 49Q12 49R05 65K10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Bonnet, Marc; Liu, Ruowen; Veerapaneni, Shravan; Zhu, Hai Shape optimization of peristaltic pumps transporting rigid particles in Stokes flow. (English) Zbl 1524.76148 SIAM J. Sci. Comput. 45, No. 1, B78-B106 (2023). MSC: 76D07 65N38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laurain, Antoine; Lopes, Pedro T. P.; Nakasato, Jean C. An abstract Lagrangian framework for computing shape derivatives. (English) Zbl 1507.49036 ESAIM, Control Optim. Calc. Var. 29, Paper No. 5, 35 p. (2023). MSC: 49Q10 49Q12 35Q93 35R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belhachmi, Zakaria; Jacumin, Thomas Optimal interpolation data for PDE-based compression of images with noise. (English) Zbl 1537.94016 Commun. Nonlinear Sci. Numer. Simul. 109, Article ID 106278, 24 p. (2022). MSC: 94A08 68P30 35B27 49Q12 49J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Shiguang; Soderhjelm, Carl; Apelian, Diran; Suresh, Krishnan Second-order defeaturing estimator of manufacturing-induced porosity on structural elasticity. (English) Zbl 1534.74083 Int. J. Numer. Methods Eng. 123, No. 19, 4483-4517 (2022). MSC: 74S99 74S05 74S15 74F10 74B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaudur, Srivatsa Bhat; Patil, Mayuresh J. Shape optimization with immersed interface finite element method. (English) Zbl 1531.65241 Int. J. Numer. Methods Eng. 123, No. 23, 5907-5936 (2022). MSC: 65N30 49Q10 49Q12 74E30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Andrade, Giovanna C.; Santos, Sandra A. A level-set-based topology optimization strategy using radial basis functions and a Hilbertian velocity extension. (English) Zbl 1505.74178 Appl. Math. Modelling 111, 108-125 (2022). MSC: 74P15 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yong; Li, Qinfeng; Li, Qiuqi Stability analysis on two thermal insulation problems. (English. French summary) Zbl 1502.49032 J. Math. Pures Appl. (9) 168, 168-191 (2022). MSC: 49Q10 49K40 49R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riva, Matteo Dalla; Luzzini, Paolo; Musolino, Paolo Shape analyticity and singular perturbations for layer potential operators. (English) Zbl 1509.31009 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1889-1910 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 31B10 35J05 47H30 35J25 45A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiajie; Zhu, Shengfeng Shape optimization of Navier-Stokes flows by a two-grid method. (English) Zbl 1507.49038 Comput. Methods Appl. Mech. Eng. 400, Article ID 115531, 28 p. (2022). MSC: 49Q10 49Q12 76D55 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Najian Asl, Reza; Antonau, Ihar; Ghantasala, Aditya; Dettmer, Wulf G.; Wüchner, Roland; Bletzinger, Kai-Uwe A partitioned scheme for adjoint shape sensitivity analysis of fluid-structure interactions involving non-matching meshes. (English) Zbl 07595253 Optim. Methods Softw. 37, No. 2, 546-576 (2022). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kovtunenko, Victor A.; Ohtsuka, Kohji Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian. (English) Zbl 1492.35184 J. Inverse Ill-Posed Probl. 30, No. 4, 461-474 (2022). MSC: 35Q30 49Q10 49Q12 90C47 × Cite Format Result Cite Review PDF Full Text: DOI
Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum. (English) Zbl 1492.49040 Appl. Math. Optim. 86, No. 1, Paper No. 10, 34 p. (2022). MSC: 49Q10 35P15 49R05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Karnaev, Vyacheslav Mikhailovich Optimal control of thin elastic inclusion in an elastic body. (Russian. English summary) Zbl 1491.49038 Sib. Èlektron. Mat. Izv. 19, No. 1, 187-210 (2022). MSC: 49S05 49Q10 35Q74 74B05 49N45 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Privat, Yannick; Robin, Rémi; Sigalotti, Mario Optimal shape of stellarators for magnetic confinement fusion. (English. French summary) Zbl 1491.49031 J. Math. Pures Appl. (9) 163, 231-264 (2022). MSC: 49Q10 49Q12 78A25 65T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Son H.; Nguyen, Tan N.; Nguyen-Thoi, Trung A finite element level-set method for stress-based topology optimization of plate structures. (English) Zbl 1524.74438 Comput. Math. Appl. 115, 26-40 (2022). MSC: 74S05 74P15 74K20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Birgin, Ernesto G.; Laurain, Antoine; Massambone, Rafael; Santana, Arthur G. A shape-Newton approach to the problem of covering with identical balls. (English) Zbl 1486.49054 SIAM J. Sci. Comput. 44, No. 2, A798-A824 (2022). MSC: 49Q10 49J52 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalla Riva, Matteo; Luzzini, Paolo; Musolino, Paolo Multi-parameter analysis of the obstacle scattering problem. (English) Zbl 1486.35318 Inverse Probl. 38, No. 5, Article ID 055004, 17 p. (2022). MSC: 35P25 35J05 35J25 78A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antunes, Pedro R. S.; Bogosel, Beniamin Parametric shape optimization using the support function. (English) Zbl 1490.90284 Comput. Optim. Appl. 82, No. 1, 107-138 (2022). MSC: 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui Shape reconstructions by using plasmon resonances. (English) Zbl 1486.65230 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 705-726 (2022). MSC: 65N21 65N20 35R30 35R25 78M30 78A46 62P10 62F15 65J20 35C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogosel, Beniamin; Oudet, Edouard Longest minimal length partitions. (English) Zbl 1486.49041 Interfaces Free Bound. 24, No. 1, 95-135 (2022). MSC: 49M20 49Q10 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amstutz, Samuel; Dapogny, Charles; Ferrer, Alex A consistent approximation of the total perimeter functional for topology optimization algorithms. (English) Zbl 1485.49050 ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022). MSC: 49Q10 49Q12 35J05 35J25 41A60 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Bam, Campbell; Wilke, Daniel N.; Kok, Schalk A generic strategy to obtain semi-analytical mesh sensitivities/velocities for tetrahedral mesh generators. (English) Zbl 07863879 Int. J. Numer. Methods Eng. 122, No. 18, 4944-4965 (2021). MSC: 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Najafi, Ahmad R.; Safdari, Masoud; Tortorelli, Daniel A.; Geubelle, Philippe H. Multiscale design of nonlinear materials using a Eulerian shape optimization scheme. (English) Zbl 07863783 Int. J. Numer. Methods Eng. 122, No. 12, 2981-3014 (2021). MSC: 74P20 65D07 74A45 × Cite Format Result Cite Review PDF Full Text: DOI
Furtsev, Alekseĭ Igorevich Energy derivative for a construction consisting of a Timoshenko plate and a thin beam. (Russian. English summary) Zbl 07821027 Mat. Zamet. SVFU 28, No. 2, 68-87 (2021). MSC: 74-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Gkaragkounis, Konstantinos T.; Papoutsis-Kiachagias, Evangelos M.; Tsolovikos, Alexandros G.; Giannakoglou, Kyriakos C. Effect of grid displacement models on sensitivity derivatives computed by the continuous adjoint method in aerodynamic and conjugate heat transfer shape optimization. (English) Zbl 1523.76076 Eng. Optim. 53, No. 8, 1398-1416 (2021). MSC: 76M99 49Q10 49M41 49Q12 74P20 76G25 × Cite Format Result Cite Review PDF Full Text: DOI
Schultes, Johanna; Stiglmayr, Michael; Klamroth, Kathrin; Hahn, Camilla Hypervolume scalarization for shape optimization to improve reliability and cost of ceramic components. (English) Zbl 1486.90180 Optim. Eng. 22, No. 2, 1203-1231 (2021). MSC: 90C29 90C31 90B50 90-01 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Haifeng; Wu, Baisheng; Li, Zhengguang The generalized flexibility matrix method for structural damage detection with incomplete mode shape data. (English) Zbl 07480122 Inverse Probl. Sci. Eng. 29, No. 12, 2019-2039 (2021). MSC: 70J10 15A29 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Van Chien; Ta, Thi Thanh Mai Constrained shape optimization problem in elastic mechanics. Dedicated to Professor Dinh Nho Hao on the occasion of his 60th birthday. (English) Zbl 1476.49053 Comput. Appl. Math. 40, No. 7, Paper No. 240, 23 p. (2021). MSC: 49Q12 74P05 65K10 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI
López, Jorge; Anitescu, Cosmin; Rabczuk, Timon Isogeometric structural shape optimization using automatic sensitivity analysis. (English) Zbl 1481.74631 Appl. Math. Modelling 89, Part 2, 1004-1024 (2021). MSC: 74P20 74S22 49Q10 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Schiela, Anton; Ortiz, Julian Second order directional shape derivatives of integrals on submanifolds. (English) Zbl 1475.53016 Math. Control Relat. Fields 11, No. 3, 658-679 (2021). MSC: 53A07 49Q10 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Lamberti, Pier Domenico; Zaccaron, Michele Shape sensitivity analysis for electromagnetic cavities. (English) Zbl 1473.35538 Math. Methods Appl. Sci. 44, No. 13, 10477-10500 (2021). MSC: 35Q61 35Q60 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaudet-Dumas, Bastien; Deteix, Jean Shape derivatives for an augmented Lagrangian formulation of elastic contact problems. (English) Zbl 1468.35067 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S14, 23 p. (2021). MSC: 35J86 49K40 49Q10 74M15 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Birgin, E. G.; Laurain, A.; Massambone, R.; Santana, A. G. A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls. (English) Zbl 1467.49030 SIAM J. Sci. Comput. 43, No. 3, A2047-A2078 (2021). MSC: 49Q10 49J52 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh Shape derivative for some eigenvalue functionals in elasticity theory. (English) Zbl 1460.49032 SIAM J. Control Optim. 59, No. 2, 1218-1245 (2021). MSC: 49Q10 35P15 49R05 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Fuhang; Zhao, Wenchang; Chen, Leilei; Zheng, Changjun; Chen, Haibo Combined shape and topology optimization for sound barrier by using the isogeometric boundary element method. (English) Zbl 1464.76091 Eng. Anal. Bound. Elem. 124, 124-136 (2021). MSC: 76M15 65N38 65D07 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Brandyberry, David R.; Najafi, Ahmad R.; Geubelle, Philippe H. Multiscale design of three-dimensional nonlinear composites using an interface-enriched generalized finite element method. (English) Zbl 07841943 Int. J. Numer. Methods Eng. 121, No. 12, 2806-2825 (2020). MSC: 74E30 74S05 65M60 74P20 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Ziliang; James, Kai A. Thermomechanical topology optimization of shape-memory alloy structures using a transient bilevel adjoint method. (English) Zbl 07841931 Int. J. Numer. Methods Eng. 121, No. 11, 2558-2580 (2020). MSC: 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Esfandiari, Akbar Structural parameter estimation and damage detection using experimental transfer function data. (English) Zbl 1476.70055 Inverse Probl. Sci. Eng. 28, No. 1, 2-20 (2020). MSC: 70F17 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelbari, Merwan; Nachi, Khadra; Sokolowski, Jan; Szulc, Katarzyna Shape sensitivity of optimal control for the Stokes problem. (English) Zbl 1464.49028 Control Cybern. 49, No. 1, 11-40 (2020). MSC: 49Q10 49Q12 × Cite Format Result Cite Review PDF
Boulkhemair, A.; Chakib, A.; Nachaoui, A.; Niftiyev, A. A.; Sadik, A. On a numerical shape optimization approach for a class of free boundary problems. (English) Zbl 1469.49040 Comput. Optim. Appl. 77, No. 2, 509-537 (2020). MSC: 49Q10 49K20 49M25 49Q12 65K05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Sturm, Kevin Topological sensitivities via a Lagrangian approach for semilinear problems. (English) Zbl 1460.49034 Nonlinearity 33, No. 9, 4310-4337 (2020). MSC: 49Q10 49Q12 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liedmann, Jan; Gerke, Steffen; Barthold, Franz-Joseph; Brünig, Michael Shape optimization of the X0-specimen: theory, numerical simulation and experimental verification. (English) Zbl 1466.74032 Comput. Mech. 66, No. 6, 1275-1291 (2020). MSC: 74P10 74R99 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Kulkarni, Mandar D.; Canfield, Robert A.; Patil, Mayuresh J. Nonintrusive continuum sensitivity analysis for fluid applications. (English) Zbl 1453.76175 J. Comput. Phys. 403, Article ID 109066, 24 p. (2020). MSC: 76M30 76M12 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
Escapil-Inchauspé, Paul; Jerez-Hanckes, Carlos Helmholtz scattering by random domains: first-order sparse boundary element approximation. (English) Zbl 07271922 SIAM J. Sci. Comput. 42, No. 5, A2561-A2592 (2020). MSC: 47A40 35J25 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hrizi, Mourad Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body. (English) Zbl 1439.49077 Taiwanese J. Math. 24, No. 2, 439-482 (2020). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R30 49Q12 74P15 74B05 49N45 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Bonnet, Marc; Liu, Ruowen; Veerapaneni, Shravan Shape optimization of Stokesian peristaltic pumps using boundary integral methods. (English) Zbl 1436.65198 Adv. Comput. Math. 46, No. 2, Paper No. 18, 24 p. (2020). MSC: 65N38 65N80 65R20 49Q10 49Q12 76D07 76Z05 92C35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Michał; Sokołowski, Jan; Żochowski, Antoni Biomimetic approach to compliance optimization and multiple load cases. (English) Zbl 1432.74184 J. Optim. Theory Appl. 184, No. 1, 210-225 (2020). MSC: 74P10 35C20 35J15 35S05 49J40 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan An introduction to the topological derivative method. (English) Zbl 1444.49001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-36914-9/pbk; 978-3-030-36915-6/ebook). x, 114 p. (2020). Reviewer: Andrew Bucki (Edmond) MSC: 49-01 49Q10 49J20 35J20 90-01 65-01 49-02 54C56 94A08 74A45 49Q12 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Laurain, Antoine Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains. (English. French summary) Zbl 1431.49050 J. Math. Pures Appl. (9) 134, 328-368 (2020). MSC: 49Q10 49J52 49Q12 35Q93 35R37 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelwahed, M.; Chorfi, N.; Malek, R. Reconstruction of Tesla micro-valve using topological sensitivity analysis. (English) Zbl 1416.76032 Adv. Nonlinear Anal. 9, 567-590 (2020). MSC: 76D05 35Q30 76D55 49Q10 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Sheng; Xiao, Mi; Gao, Liang; Li, Hao A level set-based method for stress-constrained multimaterial topology optimization of minimizing a global measure of stress. (English) Zbl 07865238 Int. J. Numer. Methods Eng. 117, No. 7, 800-818 (2019). MSC: 74P15 49Q12 74A10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Ying; Zhang, Weihong; Zhu, Jihong Concurrent shape and topology optimization involving design-dependent pressure loads using implicit B-spline curves. (English) Zbl 07865231 Int. J. Numer. Methods Eng. 118, No. 9, 495-518 (2019). MSC: 74P15 49Q12 65D07 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelwahed, Mohamed; Al Salem, Azhar; Chorfi, Nejmeddine; Hassine, Maatoug Topological sensitivity analysis of a time-dependent nonlinear problem. (English) Zbl 1524.49033 Bound. Value Probl. 2019, Paper No. 23, 12 p. (2019). MSC: 49K20 49K40 49Q12 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Nakazawa, Takashi; Nakajima, Chihiro Optimal design by adaptive mesh refinement on shape optimization of flow fields considering proper orthogonal decomposition. (English) Zbl 1452.65245 Interdiscip. Inf. Sci. 25, No. 2, 147-160 (2019). MSC: 65M60 65N30 65N50 65M06 68M99 65K10 65H10 65F15 65F50 49Q10 49Q12 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Zakaria, Belhachmi; Belhassen, Meftahi; Houcine, Meftahi Optimization of current carrying multicables using topological and shape sensitivity. (English) Zbl 1449.49034 J. Math. Study 52, No. 4, 425-447 (2019). MSC: 49Q10 49Q12 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Deepak; Wang, Zhen-Pei; Poh, Leong Hien; Quek, Ser Tong Isogeometric shape optimization of smoothed petal auxetics with prescribed nonlinear deformation. (English) Zbl 1441.74186 Comput. Methods Appl. Mech. Eng. 356, 16-43 (2019). MSC: 74P20 49Q10 65D07 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, L. L.; Lian, H.; Liu, Z.; Chen, H. B.; Atroshchenko, E.; Bordas, S. P. A. Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. (English) Zbl 1441.74290 Comput. Methods Appl. Mech. Eng. 355, 926-951 (2019). MSC: 74S15 65N38 65D07 74H45 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Martínez-Frutos, J.; Allaire, G.; Dapogny, C.; Periago, F. Structural optimization under internal porosity constraints using topological derivatives. (English) Zbl 1440.74273 Comput. Methods Appl. Mech. Eng. 345, 1-25 (2019). MSC: 74P10 49Q10 49Q12 74B05 90C90 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Zhang, Lixuan; Yang, Gang; Hu, Dean; Han, Xu An approach based on level set method for void identification of continuum structure with time-domain dynamic response. (English) Zbl 1481.74612 Appl. Math. Modelling 75, 446-480 (2019). MSC: 74P10 31B20 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Hrizi, Mourad; Hassine, Maatoug; Abdelwahed, Mohamed; Chorfi, Nejmeddine Fast and accurate algorithm for cavities reconstruction in an elasticity problem. (English) Zbl 1434.35220 Math. Methods Appl. Sci. 42, No. 18, 6083-6100 (2019). MSC: 35Q74 49Q12 74B10 35B36 35R30 35C20 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Méjri, Bochra Shape sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity. (English) Zbl 1419.35250 J. Inverse Ill-Posed Probl. 27, No. 3, 385-400 (2019). MSC: 35R30 74B05 49Q12 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Caubet, Fabien; Kateb, Djalil; Le Louër, Frédérique Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. (English) Zbl 1428.35573 J. Elasticity 136, No. 1, 17-53 (2019). Reviewer: Dongbing Zha (Shanghai) MSC: 35Q74 35C20 49Q10 49Q12 74B05 74P05 35B40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source. (English) Zbl 1417.49057 Appl. Math. Optim. 79, No. 3, 743-768 (2019). MSC: 49Q12 49K40 × Cite Format Result Cite Review PDF Full Text: DOI
Dambrine, M.; Lamboley, J. Stability in shape optimization with second variation. (English) Zbl 1416.49046 J. Differ. Equations 267, No. 5, 3009-3045 (2019). MSC: 49Q10 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gonçalves da Silva Pinto, Wagner José; Margnat, Florent A shape optimization procedure for cylinders aeolian tone. (English) Zbl 1411.76156 Comput. Fluids 182, 37-51 (2019). MSC: 76Q05 76D55 49Q12 90C59 74F10 74P10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Rabago, Julius Fergy T.; Azegami, Hideyuki Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement. (English) Zbl 1410.49050 Japan J. Ind. Appl. Math. 36, No. 1, 131-176 (2019). MSC: 49Q10 49Q12 34A55 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Topological derivatives of shape functionals. II: First-order method and applications. (English) Zbl 1414.49045 J. Optim. Theory Appl. 180, No. 3, 683-710 (2019). MSC: 49Q10 35Q74 49J20 49M05 × Cite Format Result Cite Review PDF Full Text: DOI
Afef, K. Shape and topology design of heat conduction using topological sensitivity analysis method. (English) Zbl 1394.35207 Electron. J. Math. Anal. Appl. 7, No. 1, 289-313 (2019). MSC: 35K05 35Q74 49Q10 49Q12 74P10 74P15 × Cite Format Result Cite Review PDF
Allaire, Grégoire; Michailidis, Georgios Modal basis approaches in shape and topology optimization of frequency response problems. (English) Zbl 07874752 Int. J. Numer. Methods Eng. 113, No. 8, 1258-1299 (2018). MSC: 74S05 65N25 49Q12 65N30 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Bernland, Anders; Wadbro, Eddie; Berggren, Martin Acoustic shape optimization using cut finite elements. (English) Zbl 07874303 Int. J. Numer. Methods Eng. 113, No. 3, 432-449 (2018). MSC: 74S05 65N30 49Q10 74P20 76Q05 78M99 × Cite Format Result Cite Review PDF Full Text: DOI
Esfandiari, Akbar; Vahedi, Maryam Enhanced sensitivity for structural damage detection using incomplete modal data. (English) Zbl 1535.74601 Int. J. Struct. Stab. Dyn. 18, No. 4, Article ID 1850054, 26 p. (2018). MSC: 74R05 62N05 × Cite Format Result Cite Review PDF Full Text: DOI