Kadiri, Mostafa; Louaked, Mohammed; Mechkour, Houari Hydrodynamic design optimization using non stationary porous media model. (English) Zbl 07305134 J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021). MSC: 35Q35 35B45 76D55 49Q10 65M60 65M06 65N30 65M15 65M12 76M10 76M20 PDF BibTeX XML Cite \textit{M. Kadiri} et al., J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021; Zbl 07305134) Full Text: DOI
Ahmadvand, M.; Esmaeilbeigi, M.; Yaghoobi, F.; Kamandi, A. Performance evaluation of ORBIT algorithm to some effective parameters. (English) Zbl 07314267 J. Math. Ext. 14, No. 2, 91-112 (2020). MSC: 65D05 65K10 90C30 90C20 90C56 PDF BibTeX XML Cite \textit{M. Ahmadvand} et al., J. Math. Ext. 14, No. 2, 91--112 (2020; Zbl 07314267) Full Text: Link
Guo, Ruchi; Lin, Tao; Lin, Yanping Recovering elastic inclusions by shape optimization methods with immersed finite elements. (English) Zbl 1453.74073 J. Comput. Phys. 404, Article ID 109123, 24 p. (2020). MSC: 74P20 65N21 74S05 PDF BibTeX XML Cite \textit{R. Guo} et al., J. Comput. Phys. 404, Article ID 109123, 24 p. (2020; Zbl 1453.74073) Full Text: DOI
Tissot, Gilles; Billard, Robin; Gabard, Gwénaël Optimal cavity shape design for acoustic liners using Helmholtz equation with visco-thermal losses. (English) Zbl 1453.65143 J. Comput. Phys. 402, Article ID 109048, 16 p. (2020). MSC: 65K10 76M30 49Q10 PDF BibTeX XML Cite \textit{G. Tissot} et al., J. Comput. Phys. 402, Article ID 109048, 16 p. (2020; Zbl 1453.65143) Full Text: DOI
Sasaoka, Syuta; Kurahashi, Takahiko Optimization of texture shape to minimize the friction coefficient and consideration of update equations for design variables. (English) Zbl 07288698 JSIAM Lett. 12, 73-76 (2020). MSC: 65N21 65N30 49M41 PDF BibTeX XML Cite \textit{S. Sasaoka} and \textit{T. Kurahashi}, JSIAM Lett. 12, 73--76 (2020; Zbl 07288698) Full Text: DOI
Cavallina, Lorenzo; Yachimura, Toshiaki On a two-phase Serrin-type problem and its numerical computation. (English) Zbl 1450.35189 ESAIM, Control Optim. Calc. Var. 26, Paper No. 65, 21 p. (2020). MSC: 35N25 35B30 35J15 35Q93 65K10 PDF BibTeX XML Cite \textit{L. Cavallina} and \textit{T. Yachimura}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 65, 21 p. (2020; Zbl 1450.35189) Full Text: DOI
Shi, Yuying; Huo, Zhimei; Qin, Jing; Li, Yilin Automatic prior shape selection for image edge detection with modified Mumford-Shah model. (English) Zbl 07256681 Comput. Math. Appl. 79, No. 6, 1644-1660 (2020). MSC: 94A13 65K10 PDF BibTeX XML Cite \textit{Y. Shi} et al., Comput. Math. Appl. 79, No. 6, 1644--1660 (2020; Zbl 07256681) Full Text: DOI
Albuquerque, Yuri Flores; Laurain, Antoine; Sturm, Kevin A shape optimization approach for electrical impedance tomography with point measurements. (English) Zbl 1453.78005 Inverse Probl. 36, No. 9, Article ID 095006, 27 p. (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 78A45 78M50 65N21 65N22 65K10 49Q10 35J25 92C55 35R30 35Q60 PDF BibTeX XML Cite \textit{Y. F. Albuquerque} et al., Inverse Probl. 36, No. 9, Article ID 095006, 27 p. (2020; Zbl 1453.78005) Full Text: DOI
Abele, Daniel; Kleefeld, Andreas New numerical results for the optimization of Neumann eigenvalues. (English) Zbl 1448.65275 Constanda, Christian (ed.), Computational and analytic methods in science and engineering. Selected papers based on the presentations at the 19th international conference on computational and mathematical methods in science and engineering, CMMSE’19, Rota, Spain, June 30 – July 6, 2019. Cham: Birkhäuser. 1-20 (2020). MSC: 65R15 65K10 65F15 35P30 PDF BibTeX XML Cite \textit{D. Abele} and \textit{A. Kleefeld}, in: Computational and analytic methods in science and engineering. Selected papers based on the presentations at the 19th international conference on computational and mathematical methods in science and engineering, CMMSE'19, Rota, Spain, June 30 -- July 6, 2019. Cham: Birkhäuser. 1--20 (2020; Zbl 1448.65275) Full Text: DOI
Zhu, Shengfeng; Hu, Xianliang; Liao, Qifeng Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization. (English) Zbl 1446.65154 BIT 60, No. 3, 853-878 (2020). MSC: 65N25 65N30 65N15 35P30 PDF BibTeX XML Cite \textit{S. Zhu} et al., BIT 60, No. 3, 853--878 (2020; Zbl 1446.65154) Full Text: DOI
Luft, Daniel; Schulz, Volker H.; Welker, Kathrin Efficient techniques for shape optimization with variational inequalities using adjoints. (English) Zbl 1444.49014 SIAM J. Optim. 30, No. 3, 1922-1953 (2020). MSC: 49Q10 49M29 35Q93 35J86 49J40 65K15 PDF BibTeX XML Cite \textit{D. Luft} et al., SIAM J. Optim. 30, No. 3, 1922--1953 (2020; Zbl 1444.49014) Full Text: DOI
Rabago, Julius Fergy T.; Azegami, Hideyuki A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional. (English) Zbl 1448.49035 Comput. Optim. Appl. 77, No. 1, 251-305 (2020). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49M05 49Q10 PDF BibTeX XML Cite \textit{J. F. T. Rabago} and \textit{H. Azegami}, Comput. Optim. Appl. 77, No. 1, 251--305 (2020; Zbl 1448.49035) Full Text: DOI
Jiang, Wei; Zhao, Quan; Bao, Weizhu Sharp-interface model for simulating solid-state dewetting in three dimensions. (English) Zbl 1440.74153 SIAM J. Appl. Math. 80, No. 4, 1654-1677 (2020). MSC: 74G65 74G15 74H15 49Q10 74P10 74S99 PDF BibTeX XML Cite \textit{W. Jiang} et al., SIAM J. Appl. Math. 80, No. 4, 1654--1677 (2020; Zbl 1440.74153) Full Text: DOI
Alexias, Pavlos; Giannakoglou, Kyriakos C. Optimization of a static mixing device using the continuous adjoint to a two-phase mixing model. (English) Zbl 1447.76028 Optim. Eng. 21, No. 2, 631-650 (2020). MSC: 76N25 76T06 76M99 65K10 PDF BibTeX XML Cite \textit{P. Alexias} and \textit{K. C. Giannakoglou}, Optim. Eng. 21, No. 2, 631--650 (2020; Zbl 1447.76028) Full Text: DOI
Bartels, Sören; Wachsmuth, Gerd Numerical approximation of optimal convex shapes. (English) Zbl 1440.49036 SIAM J. Sci. Comput. 42, No. 2, A1226-A1244 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49M25 49M41 49J52 49J45 49Q10 65N12 PDF BibTeX XML Cite \textit{S. Bartels} and \textit{G. Wachsmuth}, SIAM J. Sci. Comput. 42, No. 2, A1226--A1244 (2020; Zbl 1440.49036) Full Text: DOI
Etling, Tommy; Herzog, Roland; Loayza, Estefanía; Wachsmuth, Gerd First and second order shape optimization based on restricted mesh deformations. (English) Zbl 07206723 SIAM J. Sci. Comput. 42, No. 2, A1200-A1225 (2020). MSC: 90C30 90C46 65K05 PDF BibTeX XML Cite \textit{T. Etling} et al., SIAM J. Sci. Comput. 42, No. 2, A1200--A1225 (2020; Zbl 07206723) Full Text: DOI
Yang, Yunyun; Shu, Xiu; Wang, Ruofan; Feng, Chong; Jia, Wenjing Parallelizable and robust image segmentation model based on the shape prior information. (English) Zbl 07203954 Appl. Math. Modelling 83, 357-370 (2020). MSC: 90C47 65K10 49M37 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Modelling 83, 357--370 (2020; Zbl 07203954) Full Text: DOI
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles A variational formulation for computing shape derivatives of geometric constraints along rays. (English) Zbl 07201581 ESAIM, Math. Model. Numer. Anal. 54, No. 1, 181-228 (2020). MSC: 65K10 49Q10 PDF BibTeX XML Cite \textit{F. Feppon} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 1, 181--228 (2020; Zbl 07201581) Full Text: DOI
Zhang, Weisheng; Li, Dingding; Kang, Pilseong; Guo, Xu; Youn, Sung-Kie Explicit topology optimization using IGA-based moving morphable void (MMV) approach. (English) Zbl 1441.74182 Comput. Methods Appl. Mech. Eng. 360, Article ID 112685, 32 p. (2020). MSC: 74P15 74S99 65Z05 PDF BibTeX XML Cite \textit{W. Zhang} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112685, 32 p. (2020; Zbl 1441.74182) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Bonnet} et al., Adv. Comput. Math. 46, No. 2, Paper No. 18, 24 p. (2020; Zbl 1436.65198) 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 PDF BibTeX XML Cite \textit{A. A. Novotny} and \textit{J. Sokołowski}, An introduction to the topological derivative method. Cham: Springer (2020; Zbl 1444.49001) Full Text: DOI
Hiles, Alex J.; Dorn, Oliver Sparsity and level set regularization for near-field electromagnetic imaging in 3D. (English) Zbl 1433.78033 Inverse Probl. 36, No. 2, Article ID 025012, 24 p. (2020). MSC: 78M50 78A46 35R30 35Q60 78A45 65K10 35B65 92C55 PDF BibTeX XML Cite \textit{A. J. Hiles} and \textit{O. Dorn}, Inverse Probl. 36, No. 2, Article ID 025012, 24 p. (2020; Zbl 1433.78033) Full Text: DOI
Fröhlich, Benjamin; Geiger, Florian; Gade, Jan; Bischoff, Manfred; Eberhard, Peter Model order reduction of coupled, parameterized elastic bodies for shape optimization. (English) Zbl 1425.74374 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 151-163 (2020). MSC: 74P15 74S30 PDF BibTeX XML Cite \textit{B. Fröhlich} et al., IUTAM Bookser. 36, 151--163 (2020; Zbl 1425.74374) Full Text: DOI
Lebbe, N.; Dapogny, C.; Oudet, E.; Hassan, K.; Gliere, A. Robust shape and topology optimization of nanophotonic devices using the level set method. (English) Zbl 1452.65109 J. Comput. Phys. 395, 710-746 (2019). MSC: 65K10 49Q10 78A55 78A50 PDF BibTeX XML Cite \textit{N. Lebbe} et al., J. Comput. Phys. 395, 710--746 (2019; Zbl 1452.65109) 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 PDF BibTeX XML Cite \textit{T. Nakazawa} and \textit{C. Nakajima}, Interdiscip. Inf. Sci. 25, No. 2, 147--160 (2019; Zbl 1452.65245) Full Text: DOI
Zapletal, Jan; Bouchala, Jiří Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems. (English) Zbl 1443.65412 Comput. Math. Appl. 78, No. 9, 2911-2932 (2019). MSC: 65N38 65K10 PDF BibTeX XML Cite \textit{J. Zapletal} and \textit{J. Bouchala}, Comput. Math. Appl. 78, No. 9, 2911--2932 (2019; Zbl 1443.65412) Full Text: DOI
Li, Futuan; Hu, Xianliang A phase-field method for shape optimization of incompressible flows. (English) Zbl 1442.49052 Comput. Math. Appl. 77, No. 4, 1029-1041 (2019). MSC: 49Q10 35Q30 65K10 76D05 PDF BibTeX XML Cite \textit{F. Li} and \textit{X. Hu}, Comput. Math. Appl. 77, No. 4, 1029--1041 (2019; Zbl 1442.49052) Full Text: DOI
Bastl, Bohumír; Brandner, Marek; Egermaier, Jiří; Horníková, Hana; Michálková, Kristýna; Turnerová, Eva Gradient-free and gradient-based methods for shape optimization of water turbine blade. (English) Zbl 07236950 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-69-1). 15-26 (2019). Reviewer: Jan Chleboun (Praha) MSC: 76D55 76-04 76D05 90C26 65K10 65M60 PDF BibTeX XML Cite \textit{B. Bastl} et al., in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 15--26 (2019; Zbl 07236950) 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 PDF BibTeX XML Cite \textit{B. Zakaria} et al., J. Math. Study 52, No. 4, 425--447 (2019; Zbl 1449.49034) Full Text: DOI
Bauer, Martin; Charon, Nicolas; Younes, Laurent Metric registration of curves and surfaces using optimal control. (English) Zbl 1443.49046 Kimmel, Ron (ed.) et al., Processing, analyzing and learning of images, shapes, and forms. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 20, 613-646 (2019). MSC: 49Q10 49M05 94A08 PDF BibTeX XML Cite \textit{M. Bauer} et al., Handb. Numer. Anal. 20, 613--646 (2019; Zbl 1443.49046) Full Text: DOI
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte Incorporating knowledge on the measurement noise in electrical impedance tomography. (English) Zbl 1437.78003 ESAIM, Control Optim. Calc. Var. 25, Paper No. 84, 16 p. (2019). MSC: 78A46 78M50 49Q10 65K10 65R20 35R25 35R35 PDF BibTeX XML Cite \textit{M. Dambrine} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 84, 16 p. (2019; Zbl 1437.78003) Full Text: DOI
Fehrenbach, Jérôme; De Gournay, Frédéric Shape optimization via a levelset and a Gauss-Newton method. (English) Zbl 1437.49058 ESAIM, Control Optim. Calc. Var. 25, Paper No. 3, 23 p. (2019). MSC: 49Q10 49M15 49M29 74P05 74P10 74P20 PDF BibTeX XML Cite \textit{J. Fehrenbach} and \textit{F. De Gournay}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 3, 23 p. (2019; Zbl 1437.49058) Full Text: DOI
Hirschler, T.; Bouclier, R.; Duval, A.; Elguedj, T.; Morlier, J. The embedded isogeometric Kirchhoff-Love shell: from design to shape optimization of non-conforming stiffened multipatch structures. (English) Zbl 1441.74245 Comput. Methods Appl. Mech. Eng. 349, 774-797 (2019). MSC: 74S05 65N30 65D07 74P20 PDF BibTeX XML Cite \textit{T. Hirschler} et al., Comput. Methods Appl. Mech. Eng. 349, 774--797 (2019; Zbl 1441.74245) 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 PDF BibTeX XML Cite \textit{D. Kumar} et al., Comput. Methods Appl. Mech. Eng. 356, 16--43 (2019; Zbl 1441.74186) 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 PDF BibTeX XML Cite \textit{L. L. Chen} et al., Comput. Methods Appl. Mech. Eng. 355, 926--951 (2019; Zbl 1441.74290) Full Text: DOI
Hao, Peng; Liu, Xuanxiu; Wang, Yu; Liu, Dachuan; Wang, Bo; Li, Gang Collaborative design of fiber path and shape for complex composite shells based on isogeometric analysis. (English) Zbl 1441.74113 Comput. Methods Appl. Mech. Eng. 354, 181-212 (2019). MSC: 74K25 65D07 74S05 65N30 74P05 PDF BibTeX XML Cite \textit{P. Hao} et al., Comput. Methods Appl. Mech. Eng. 354, 181--212 (2019; Zbl 1441.74113) Full Text: DOI
Weeger, Oliver; Narayanan, Bharath; Dunn, Martin L. Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures. (English) Zbl 1440.74337 Comput. Methods Appl. Mech. Eng. 345, 26-51 (2019). MSC: 74P20 65D07 74S05 65N30 74K10 PDF BibTeX XML Cite \textit{O. Weeger} et al., Comput. Methods Appl. Mech. Eng. 345, 26--51 (2019; Zbl 1440.74337) Full Text: DOI
Dapogny, Charles; Estevez, Rafael; Faure, Alexis; Michailidis, Georgios Shape and topology optimization considering anisotropic features induced by additive manufacturing processes. (English) Zbl 1440.74289 Comput. Methods Appl. Mech. Eng. 344, 626-665 (2019). MSC: 74P15 65K10 74B05 74E10 74P05 PDF BibTeX XML Cite \textit{C. Dapogny} et al., Comput. Methods Appl. Mech. Eng. 344, 626--665 (2019; Zbl 1440.74289) Full Text: DOI
Lieu, Qui X.; Lee, Jaehong An isogeometric multimesh design approach for size and shape optimization of multidirectional functionally graded plates. (English) Zbl 1440.74335 Comput. Methods Appl. Mech. Eng. 343, 407-437 (2019). MSC: 74P20 74S05 74K20 65D07 65N30 PDF BibTeX XML Cite \textit{Q. X. Lieu} and \textit{J. Lee}, Comput. Methods Appl. Mech. Eng. 343, 407--437 (2019; Zbl 1440.74335) Full Text: DOI
Li, Juncheng Planar cubic \({G^1}\) Hermite interpolant with minimal quadratic oscillation in average. (English) Zbl 1449.65011 Commun. Math. Res. 35, No. 3, 219-224 (2019). MSC: 65D05 PDF BibTeX XML Cite \textit{J. Li}, Commun. Math. Res. 35, No. 3, 219--224 (2019; Zbl 1449.65011) Full Text: DOI
Jahromi, Alireza Fakharzadeh; Alimorad, Hajar A review of theoretical measure approaches in optimal shape problems. (English) Zbl 1431.49049 Int. J. Numer. Anal. Model. 16, No. 4, 543-574 (2019). Reviewer: Yekini Shehu (Nsukka) MSC: 49Q10 49M20 49J20 90C90 49M25 PDF BibTeX XML Cite \textit{A. F. Jahromi} and \textit{H. Alimorad}, Int. J. Numer. Anal. Model. 16, No. 4, 543--574 (2019; Zbl 1431.49049) Full Text: Link
Alhejaili, Weaam; Kao, Chiu-Yen Numerical studies of the Steklov eigenvalue problem via conformal mappings. (English) Zbl 1428.35245 Appl. Math. Comput. 347, 785-802 (2019). MSC: 35P15 35J05 35J20 35J25 65N25 65N30 PDF BibTeX XML Cite \textit{W. Alhejaili} and \textit{C.-Y. Kao}, Appl. Math. Comput. 347, 785--802 (2019; Zbl 1428.35245) Full Text: DOI
Antunes, Pedro R. S. Extremal \(p\) -Laplacian eigenvalues. (English) Zbl 1425.35130 Nonlinearity 32, No. 12, 5087-5109 (2019). MSC: 35P30 49Q10 35P15 65N25 65N35 65D05 PDF BibTeX XML Cite \textit{P. R. S. Antunes}, Nonlinearity 32, No. 12, 5087--5109 (2019; Zbl 1425.35130) Full Text: DOI
Brust, Johannes; Burdakov, Oleg; Erway, Jennifer B.; Marcia, Roummel F. A dense initialization for limited-memory quasi-Newton methods. (English) Zbl 1427.90292 Comput. Optim. Appl. 74, No. 1, 121-142 (2019). MSC: 90C53 90C06 90C26 65K05 65K10 65F10 65F15 PDF BibTeX XML Cite \textit{J. Brust} et al., Comput. Optim. Appl. 74, No. 1, 121--142 (2019; Zbl 1427.90292) Full Text: DOI arXiv
Habbal, Abderrahmane; Kallel, Moez; Ouni, Marwa Nash strategies for the inverse inclusion Cauchy-Stokes problem. (English) Zbl 1419.49010 Inverse Probl. Imaging 13, No. 4, 827-862 (2019). MSC: 49J20 65K10 65N06 90C30 91A06 PDF BibTeX XML Cite \textit{A. Habbal} et al., Inverse Probl. Imaging 13, No. 4, 827--862 (2019; Zbl 1419.49010) Full Text: DOI
Alhejaili, Weaam; Kao, Chiu-Yen Maximal convex combinations of sequential Steklov eigenvalues. (English) Zbl 1420.49049 J. Sci. Comput. 79, No. 3, 2006-2026 (2019). MSC: 49R05 35P15 49Q10 65N25 35J05 PDF BibTeX XML Cite \textit{W. Alhejaili} and \textit{C.-Y. Kao}, J. Sci. Comput. 79, No. 3, 2006--2026 (2019; Zbl 1420.49049) Full Text: DOI
Crespo, Maria; Ivorra, Benjamin; Ramos, Angel Manuel; Rapaport, Alain Shape optimization of spatial chemostat models. (English) Zbl 1418.35347 Electron. J. Differ. Equ. 2019, Paper No. 84, 26 p. (2019). MSC: 35Q93 35K40 65K10 92E20 PDF BibTeX XML Cite \textit{M. Crespo} et al., Electron. J. Differ. Equ. 2019, Paper No. 84, 26 p. (2019; Zbl 1418.35347) Full Text: Link
Harness, Yuval Low-dimensional spatial embedding method for shape uncertainty quantification in acoustic scattering by 2D star shaped obstacles. (English) Zbl 1417.49058 J. Sci. Comput. 78, No. 3, 1601-1631 (2019). MSC: 49Q15 65C99 65N35 65R20 65Z05 PDF BibTeX XML Cite \textit{Y. Harness}, J. Sci. Comput. 78, No. 3, 1601--1631 (2019; Zbl 1417.49058) Full Text: DOI
Bernland, Anders; Wadbro, Eddie; Berggren, Martin Shape optimization of a compression driver phase plug. (English) Zbl 1416.65434 SIAM J. Sci. Comput. 41, No. 1, B181-B204 (2019). MSC: 65N30 65K10 35J05 65N85 PDF BibTeX XML Cite \textit{A. Bernland} et al., SIAM J. Sci. Comput. 41, No. 1, B181--B204 (2019; Zbl 1416.65434) 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 PDF BibTeX XML Cite \textit{A. A. Novotny} et al., J. Optim. Theory Appl. 180, No. 3, 683--710 (2019; Zbl 1414.49045) Full Text: DOI
Dalphin, Jeremy; Barros, Ricardo Optimal shape of an underwater moving bottom generating surface waves ruled by a forced Korteweg-de Vries equation. (English) Zbl 1409.49019 J. Optim. Theory Appl. 180, No. 2, 574-607 (2019). MSC: 49K20 35Q53 49M29 65M06 76B15 49J45 49J50 PDF BibTeX XML Cite \textit{J. Dalphin} and \textit{R. Barros}, J. Optim. Theory Appl. 180, No. 2, 574--607 (2019; Zbl 1409.49019) Full Text: DOI
Pegon, Paul; Santambrogio, Filippo; Xia, Qinglan A fractal shape optimization problem in branched transport. (English. French summary) Zbl 1408.49041 J. Math. Pures Appl. (9) 123, 244-269 (2019). MSC: 49Q10 49N60 65K10 28A80 49J52 PDF BibTeX XML Cite \textit{P. Pegon} et al., J. Math. Pures Appl. (9) 123, 244--269 (2019; Zbl 1408.49041) Full Text: DOI
Paganini, Alberto; Sturm, Kevin Weakly normal basis vector fields in RKHS with an application to shape Newton methods. (English) Zbl 1406.49050 SIAM J. Numer. Anal. 57, No. 1, 1-26 (2019). MSC: 49Q10 49M15 93B40 PDF BibTeX XML Cite \textit{A. Paganini} and \textit{K. Sturm}, SIAM J. Numer. Anal. 57, No. 1, 1--26 (2019; Zbl 1406.49050) Full Text: DOI arXiv
Younes, Laurent Shapes and diffeomorphisms. 2nd updated edition. (English) Zbl 1423.53002 Applied Mathematical Sciences 171. Berlin: Springer (ISBN 978-3-662-58495-8/hbk; 978-3-662-58496-5/ebook). xxiv, 558 p. (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 53-02 53A04 53A05 37C10 37E30 49-02 49K15 49Q10 65D18 68U05 68U07 58D05 PDF BibTeX XML Cite \textit{L. Younes}, Shapes and diffeomorphisms. 2nd updated edition. Berlin: Springer (2019; Zbl 1423.53002) Full Text: DOI
Kostas, K. V.; Fyrillas, M. M.; Politis, C. G.; Ginnis, A. I.; Kaklis, P. D. Shape optimization of conductive-media interfaces using an IGA-BEM solver. (English) Zbl 1440.74334 Comput. Methods Appl. Mech. Eng. 340, 600-614 (2018). MSC: 74P20 74S15 65D07 65N38 80A19 PDF BibTeX XML Cite \textit{K. V. Kostas} et al., Comput. Methods Appl. Mech. Eng. 340, 600--614 (2018; Zbl 1440.74334) Full Text: DOI
Wang, Cunfu; Xia, Songtao; Wang, Xilu; Qian, Xiaoping Isogeometric shape optimization on triangulations. (English) Zbl 1439.74474 Comput. Methods Appl. Mech. Eng. 331, 585-622 (2018). MSC: 74S05 65N30 65D07 74B05 74P20 PDF BibTeX XML Cite \textit{C. Wang} et al., Comput. Methods Appl. Mech. Eng. 331, 585--622 (2018; Zbl 1439.74474) Full Text: DOI
Chicco-Ruiz, Aníbal; Morin, Pedro; Pauletti, M. Sebastian The shape derivative of the Gauss curvature. (English) Zbl 07107447 Rev. Unión Mat. Argent. 59, No. 2, 311-337 (2018). MSC: 65K10 49M15 53A10 53A55 PDF BibTeX XML Cite \textit{A. Chicco-Ruiz} et al., Rev. Unión Mat. Argent. 59, No. 2, 311--337 (2018; Zbl 07107447)
Delfour, Michel C. Control, shape, and topological derivatives via minimax differentiability of Lagrangians. (English) Zbl 1416.49049 Falcone, Maurizio (ed.) et al., Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19–23, 2017. Cham: Springer. Springer INdAM Ser. 29, 137-164 (2018). MSC: 49Q12 49J35 49M30 49Q10 PDF BibTeX XML Cite \textit{M. C. Delfour}, Springer INdAM Ser. 29, 137--164 (2018; Zbl 1416.49049) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Kalise} et al., Math. Models Methods Appl. Sci. 28, No. 13, 2667--2717 (2018; Zbl 1411.49030) Full Text: DOI arXiv
Hamdi, Adel A non-iterative method for identifying multiple unknown time-dependent sources compactly supported occurring in a 2D parabolic equation. (English) Zbl 1409.65063 Inverse Probl. Sci. Eng. 26, No. 5, 744-772 (2018). MSC: 65M32 35K20 35R30 PDF BibTeX XML Cite \textit{A. Hamdi}, Inverse Probl. Sci. Eng. 26, No. 5, 744--772 (2018; Zbl 1409.65063) Full Text: DOI
Katamine, Eiji; Imai, Shinya; Ishii, Kohei Shape optimization of unsteady natural convection fields. (English) Zbl 07039139 Inverse Probl. Sci. Eng. 26, No. 5, 691-707 (2018). MSC: 65J22 65L09 PDF BibTeX XML Cite \textit{E. Katamine} et al., Inverse Probl. Sci. Eng. 26, No. 5, 691--707 (2018; Zbl 07039139) Full Text: DOI
Manzoni, Andrea; Ponti, Luca An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction. (English) Zbl 1407.49069 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1501-1532 (2018). MSC: 49Q10 49J20 49M05 65K10 65N30 74F10 76D55 PDF BibTeX XML Cite \textit{A. Manzoni} and \textit{L. Ponti}, ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1501--1532 (2018; Zbl 1407.49069) Full Text: DOI
Lüthen, Nora; Rumpf, Martin; Tölkes, Sascha; Vantzos, Orestis Branching structures in elastic shape optimization. (English) Zbl 1407.49068 Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 213-225 (2018). MSC: 49Q10 74B99 49M37 PDF BibTeX XML Cite \textit{N. Lüthen} et al., ISNM, Int. Ser. Numer. Math. 169, 213--225 (2018; Zbl 1407.49068) Full Text: DOI arXiv
Führ, Björn; Schulz, Volker; Welker, Kathrin Shape optimization for interface identification with obstacle problems. (English) Zbl 06996366 Vietnam J. Math. 46, No. 4, 967-985 (2018). MSC: 65K15 49Q10 57N25 PDF BibTeX XML Cite \textit{B. Führ} et al., Vietnam J. Math. 46, No. 4, 967--985 (2018; Zbl 06996366) Full Text: DOI
Garcke, Harald; Hinze, Michael; Kahle, Christian; Lam, Kei Fong A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. (English) Zbl 1406.35274 Adv. Comput. Math. 44, No. 5, 1345-1383 (2018). MSC: 35Q35 35Q56 35R35 49Q10 49Q12 65M22 65M60 76S05 35B65 76D05 PDF BibTeX XML Cite \textit{H. Garcke} et al., Adv. Comput. Math. 44, No. 5, 1345--1383 (2018; Zbl 1406.35274) Full Text: DOI
Rodrigues, S. S.; Marta, A. C. Adjoint formulation of a steady multistage turbomachinery interface using automatic differentiation. (English) Zbl 1410.76133 Comput. Fluids 176, 182-192 (2018). MSC: 76G25 65K05 76U05 PDF BibTeX XML Cite \textit{S. S. Rodrigues} and \textit{A. C. Marta}, Comput. Fluids 176, 182--192 (2018; Zbl 1410.76133) Full Text: DOI
Iglesias, José A.; Sturm, Kevin; Wechsung, Florian Two-dimensional shape optimization with nearly conformal transformations. (English) Zbl 1403.49043 SIAM J. Sci. Comput. 40, No. 6, A3807-A3830 (2018). MSC: 49Q10 93B40 65D99 46E22 PDF BibTeX XML Cite \textit{J. A. Iglesias} et al., SIAM J. Sci. Comput. 40, No. 6, A3807--A3830 (2018; Zbl 1403.49043) Full Text: DOI
Charon, N.; Charlier, B.; Trouvé, A. Metamorphoses of functional shapes in Sobolev spaces. (English) Zbl 1403.49021 Found. Comput. Math. 18, No. 6, 1535-1596 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 49M25 49Q20 58E50 58J90 65K10 68U05 49Q10 PDF BibTeX XML Cite \textit{N. Charon} et al., Found. Comput. Math. 18, No. 6, 1535--1596 (2018; Zbl 1403.49021) Full Text: DOI
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro Optimal partitions for Robin Laplacian eigenvalues. (English) Zbl 1403.49046 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 122, 18 p. (2018). Reviewer: Mariana Vega Smit (Essen) MSC: 49R05 49Q10 49K40 65N25 35R35 PDF BibTeX XML Cite \textit{D. Bucur} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 122, 18 p. (2018; Zbl 1403.49046) Full Text: DOI arXiv
Le Louër, Frédérique; Rapún, María-Luisa Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. II: Iterative method. (English) Zbl 1401.35346 SIAM J. Imaging Sci. 11, No. 1, 734-769 (2018). MSC: 35R30 49Q12 65N21 65K10 78A25 78A40 78A46 PDF BibTeX XML Cite \textit{F. Le Louër} and \textit{M.-L. Rapún}, SIAM J. Imaging Sci. 11, No. 1, 734--769 (2018; Zbl 1401.35346) Full Text: DOI
Allen, Christian B.; Poole, Daniel J.; Rendall, Thomas C. S. Wing aerodynamic optimization using efficient mathematically-extracted modal design variables. (English) Zbl 1397.74159 Optim. Eng. 19, No. 2, 453-477 (2018). MSC: 74P10 76G25 74F10 PDF BibTeX XML Cite \textit{C. B. Allen} et al., Optim. Eng. 19, No. 2, 453--477 (2018; Zbl 1397.74159) Full Text: DOI
Tong, Jiajun; Shelley, Michael J. Directed migration of microscale swimmers by an array of shaped obstacles: modeling and shape optimization. (English) Zbl 1404.49029 SIAM J. Appl. Math. 78, No. 5, 2370-2392 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 49Q10 49N45 35Q93 65K10 74F10 82C21 82C70 49M30 PDF BibTeX XML Cite \textit{J. Tong} and \textit{M. J. Shelley}, SIAM J. Appl. Math. 78, No. 5, 2370--2392 (2018; Zbl 1404.49029) Full Text: DOI arXiv
Martínez-Frutos, Jesús; Periago Esparza, Francisco Optimal control of PDEs under uncertainty. An introduction with application to optimal shape design of structures. (English) Zbl 1426.49001 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-98209-0/pbk; 978-3-319-98210-6/ebook). xix, 123 p. (2018). Reviewer: Stefan Balint (Timişoara) MSC: 49-02 49J20 49Q10 49K20 49M25 PDF BibTeX XML Cite \textit{J. Martínez-Frutos} and \textit{F. Periago Esparza}, Optimal control of PDEs under uncertainty. An introduction with application to optimal shape design of structures. Cham: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics (2018; Zbl 1426.49001) Full Text: DOI
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut Solving a free boundary problem with nonconstant coefficients. (English) Zbl 1397.35082 Math. Methods Appl. Sci. 41, No. 10, 3653-3671 (2018). MSC: 35J20 49Q10 65K10 65M60 PDF BibTeX XML Cite \textit{R. Brügger} et al., Math. Methods Appl. Sci. 41, No. 10, 3653--3671 (2018; Zbl 1397.35082) Full Text: DOI
Sun, S. H.; Yu, Tian Tang; Nguyen, T. T.; Atroshchenko, E.; Bui, T. Q. Structural shape optimization by IGABEM and particle swarm optimization algorithm. (English) Zbl 1403.74234 Eng. Anal. Bound. Elem. 88, 26-40 (2018). MSC: 74S15 74P10 65N38 49M25 65D07 90C59 PDF BibTeX XML Cite \textit{S. H. Sun} et al., Eng. Anal. Bound. Elem. 88, 26--40 (2018; Zbl 1403.74234) Full Text: DOI
Laurain, Antoine Analyzing smooth and singular domain perturbations in level set methods. (English) Zbl 1396.49042 SIAM J. Math. Anal. 50, No. 4, 4327-4370 (2018). MSC: 49Q10 49Q12 65K10 49J50 93C70 PDF BibTeX XML Cite \textit{A. Laurain}, SIAM J. Math. Anal. 50, No. 4, 4327--4370 (2018; Zbl 1396.49042) Full Text: DOI
Bogosel, Beniamin; Bonnaillie-Noël, Virginie Minimal partitions for \(p\)-norms of eigenvalues. (English) Zbl 1394.49039 Interfaces Free Bound. 20, No. 1, 129-163 (2018). MSC: 49Q10 65N06 35J05 65N25 PDF BibTeX XML Cite \textit{B. Bogosel} and \textit{V. Bonnaillie-Noël}, Interfaces Free Bound. 20, No. 1, 129--163 (2018; Zbl 1394.49039) Full Text: DOI
Shi-Dong, Doug; Nadarajah, Siva Approximate Hessian for accelerated convergence of aerodynamic shape optimization problems in an adjoint-based framework. (English) Zbl 1390.74161 Comput. Fluids 168, 265-284 (2018). MSC: 74P15 65K10 49Q10 76G25 PDF BibTeX XML Cite \textit{D. Shi-Dong} and \textit{S. Nadarajah}, Comput. Fluids 168, 265--284 (2018; Zbl 1390.74161) Full Text: DOI
Nguyen Quan; Nguyen Hoai Son; Nguyen Quoc Tuan Minimum volume of the longitudinal fin with rectangular and triangular profiles by a modified Newton-Raphson method. (English) Zbl 1404.74141 Int. J. Comput. Methods 15, No. 5, Article ID 1850034, 12 p. (2018). MSC: 74P15 74F05 74S30 80M50 65H10 80A20 PDF BibTeX XML Cite \textit{Nguyen Quan} et al., Int. J. Comput. Methods 15, No. 5, Article ID 1850034, 12 p. (2018; Zbl 1404.74141) Full Text: DOI
Bogosel, Beniamin; Bonnaillie-Noël, Virginie Optimal partitions for the sum and the maximum of eigenvalues. (English) Zbl 06872720 López de Silanes, M. C. (ed.) et al., Fourteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 12–15, 2016. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-17358-00-6/pbk). Monografías Matemáticas “García de Galdeano” 41, 41-53 (2018). MSC: 65K10 PDF BibTeX XML Cite \textit{B. Bogosel} and \textit{V. Bonnaillie-Noël}, Monogr. Mat. García Galdeano 41, 41--53 (2018; Zbl 06872720)
Giacomini, Matteo An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations. (English) Zbl 1388.49046 J. Sci. Comput. 75, No. 1, 560-595 (2018). MSC: 49Q10 65M60 65N15 65N21 PDF BibTeX XML Cite \textit{M. Giacomini}, J. Sci. Comput. 75, No. 1, 560--595 (2018; Zbl 1388.49046) Full Text: DOI
Schmidt, Stephan; Schütte, Maria; Walther, Andrea Efficient numerical solution of geometric inverse problems involving Maxwell’s equations using shape derivatives and automatic code generation. (English) Zbl 1402.65104 SIAM J. Sci. Comput. 40, No. 2, B405-B428 (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 65M32 65M25 65K10 68N19 35Q61 35R30 78M50 49Q10 78A25 PDF BibTeX XML Cite \textit{S. Schmidt} et al., SIAM J. Sci. Comput. 40, No. 2, B405--B428 (2018; Zbl 1402.65104) Full Text: DOI
Schmidt, Stephan Weak and strong form shape hessians and their automatic generation. (English) Zbl 1448.49036 SIAM J. Sci. Comput. 40, No. 2, C210-C233 (2018). MSC: 49M15 65D18 68T35 68Q42 68U05 68U15 PDF BibTeX XML Cite \textit{S. Schmidt}, SIAM J. Sci. Comput. 40, No. 2, C210--C233 (2018; Zbl 1448.49036) Full Text: DOI
Zhu, Shengfeng Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives. (English) Zbl 1453.65400 J. Optim. Theory Appl. 176, No. 1, 17-34 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N30 49J20 49R05 PDF BibTeX XML Cite \textit{S. Zhu}, J. Optim. Theory Appl. 176, No. 1, 17--34 (2018; Zbl 1453.65400) Full Text: DOI
Wang, Yong; Fani, Shabnam Nonparametric maximum likelihood computation of a \(U\)-shaped hazard function. (English) Zbl 1384.62120 Stat. Comput. 28, No. 1, 187-200 (2018). MSC: 62G05 62N02 62N05 62G07 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Fani}, Stat. Comput. 28, No. 1, 187--200 (2018; Zbl 1384.62120) Full Text: DOI
Beretta, Elena; Micheletti, Stefano; Perotto, Simona; Santacesaria, Matteo Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT. (English) Zbl 1380.65038 J. Comput. Phys. 353, 264-280 (2018). MSC: 65D18 78M50 92C55 49Q10 PDF BibTeX XML Cite \textit{E. Beretta} et al., J. Comput. Phys. 353, 264--280 (2018; Zbl 1380.65038) Full Text: DOI
Fernández Bonder, Julián; Spedaletti, Juan F. Some nonlocal optimal design problems. (English) Zbl 1387.49062 J. Math. Anal. Appl. 459, No. 2, 906-931 (2018). Reviewer: Costică Moroşanu (Iaşi) MSC: 49Q10 49K20 49J20 65K10 PDF BibTeX XML Cite \textit{J. Fernández Bonder} and \textit{J. F. Spedaletti}, J. Math. Anal. Appl. 459, No. 2, 906--931 (2018; Zbl 1387.49062) Full Text: DOI
Wang, Zhen-Pei; Poh, Leong Hien; Dirrenberger, Justin; Zhu, Yilin; Forest, Samuel Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization. (English) Zbl 1439.74318 Comput. Methods Appl. Mech. Eng. 323, 250-271 (2017). MSC: 74P20 65D07 74Q05 PDF BibTeX XML Cite \textit{Z.-P. Wang} et al., Comput. Methods Appl. Mech. Eng. 323, 250--271 (2017; Zbl 1439.74318) Full Text: DOI
López, J. I.; Brovka, M.; Escobar, J. M.; Montenegro, R.; Socorro, G. V. Spline parameterization method for 2D and 3D geometries based on T-mesh optimization. (English) Zbl 1439.65015 Comput. Methods Appl. Mech. Eng. 322, 460-482 (2017). MSC: 65D07 PDF BibTeX XML Cite \textit{J. I. López} et al., Comput. Methods Appl. Mech. Eng. 322, 460--482 (2017; Zbl 1439.65015) Full Text: DOI
Lian, H.; Kerfriden, P.; Bordas, S. P. A. Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. (English) Zbl 1439.74486 Comput. Methods Appl. Mech. Eng. 317, 1-41 (2017). MSC: 74S15 65N30 65D07 74P20 PDF BibTeX XML Cite \textit{H. Lian} et al., Comput. Methods Appl. Mech. Eng. 317, 1--41 (2017; Zbl 1439.74486) Full Text: DOI
Antunes, Pedro R. S. Is it possible to tune a drum? (English) Zbl 1415.65143 J. Comput. Phys. 338, 91-106 (2017). MSC: 65K10 49Q10 35J05 35B30 35P15 PDF BibTeX XML Cite \textit{P. R. S. Antunes}, J. Comput. Phys. 338, 91--106 (2017; Zbl 1415.65143) Full Text: DOI
Liu, Cheng; Chen, Leilei; Zhao, Wenchang; Chen, Haibo Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions. (English) Zbl 1403.76092 Eng. Anal. Bound. Elem. 85, 142-157 (2017). MSC: 76M15 65N38 65D07 76Q05 PDF BibTeX XML Cite \textit{C. Liu} et al., Eng. Anal. Bound. Elem. 85, 142--157 (2017; Zbl 1403.76092) Full Text: DOI
Jaïm, Emna; Khalfallah, Sinda An energy-gap cost functional for cavities identification. (English) Zbl 1448.65206 Nonlinear Stud. 24, No. 4, 745-756 (2017). MSC: 65N21 65N20 35J05 35J15 35J20 49Q10 35Q30 41A60 PDF BibTeX XML Cite \textit{E. Jaïm} and \textit{S. Khalfallah}, Nonlinear Stud. 24, No. 4, 745--756 (2017; Zbl 1448.65206) Full Text: Link
Zhang, Weisheng; Li, Dong; Yuan, Jie; Song, Junfu; Guo, Xu A new three-dimensional topology optimization method based on moving morphable components (MMCs). (English) Zbl 1398.74258 Comput. Mech. 59, No. 4, 647-665 (2017). MSC: 74P15 74S30 74S05 49Q10 PDF BibTeX XML Cite \textit{W. Zhang} et al., Comput. Mech. 59, No. 4, 647--665 (2017; Zbl 1398.74258) Full Text: DOI
Fischer, Michael Analysis and numerical approximation of shape optimization problems governed by the Navier-Stokes and the Boussinesq equations. (English) Zbl 1393.35143 München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8439-3268-4/pbk). xi, 236 p. (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 49Q10 65K10 65N30 35-02 PDF BibTeX XML Cite \textit{M. Fischer}, Analysis and numerical approximation of shape optimization problems governed by the Navier-Stokes and the Boussinesq equations. München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2017; Zbl 1393.35143)
Hedges, Lester O.; Kim, H. Alicia; Jack, Robert L. Stochastic level-set method for shape optimisation. (English) Zbl 1380.65111 J. Comput. Phys. 348, 82-107 (2017). MSC: 65K10 49Q10 49M25 65C20 PDF BibTeX XML Cite \textit{L. O. Hedges} et al., J. Comput. Phys. 348, 82--107 (2017; Zbl 1380.65111) Full Text: DOI
Kraft, Daniel Geometric constraints in descent methods for shape optimisation. (English) Zbl 1382.49046 ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2193-2212 (2017). MSC: 49Q10 65D18 65J22 65K10 94A08 PDF BibTeX XML Cite \textit{D. Kraft}, ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2193--2212 (2017; Zbl 1382.49046) Full Text: DOI
Le Louër, Frédérique; Rapún, María-Luisa Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. I: One step method. (English) Zbl 1391.35423 SIAM J. Imaging Sci. 10, No. 3, 1291-1321 (2017). MSC: 35R30 49Q12 65N21 65K10 78A25 78A40 78A46 PDF BibTeX XML Cite \textit{F. Le Louër} and \textit{M.-L. Rapún}, SIAM J. Imaging Sci. 10, No. 3, 1291--1321 (2017; Zbl 1391.35423) Full Text: DOI
Siebenborn, Martin; Welker, Kathrin Algorithmic aspects of multigrid methods for optimization in shape spaces. (English) Zbl 1380.49062 SIAM J. Sci. Comput. 39, No. 6, B1156-B1177 (2017). MSC: 49Q10 35Q93 57N25 65M55 65Y05 49M25 49M15 PDF BibTeX XML Cite \textit{M. Siebenborn} and \textit{K. Welker}, SIAM J. Sci. Comput. 39, No. 6, B1156--B1177 (2017; Zbl 1380.49062) Full Text: DOI arXiv
Tai, Xue-Cheng; Duan, Jinming A simple fast algorithm for minimization of the elastica energy combining binary and level set representations. (English) Zbl 1378.65133 Int. J. Numer. Anal. Model. 14, No. 6, 809-821 (2017). MSC: 65K10 65D19 PDF BibTeX XML Cite \textit{X.-C. Tai} and \textit{J. Duan}, Int. J. Numer. Anal. Model. 14, No. 6, 809--821 (2017; Zbl 1378.65133) Full Text: Link