Torisaki, Mihiro; Shimoda, Masatoshi; Al Ali, Musaddiq Shape optimization method for strength design problem of microstructures in a multiscale structure. (English) Zbl 07769136 Int. J. Numer. Methods Eng. 124, No. 8, 1748-1772 (2023). MSC: 49Q10 49J35 65-XX PDF BibTeX XML Cite \textit{M. Torisaki} et al., Int. J. Numer. Methods Eng. 124, No. 8, 1748--1772 (2023; Zbl 07769136) Full Text: DOI
Liu, Chunxiao; Zhu, Shengfeng On finite element approximations to a shape gradient flow in shape optimization of elliptic problems. (English) Zbl 07750350 J. Comput. Math. 41, No. 5, 956-979 (2023). MSC: 65D15 65N30 49Q12 PDF BibTeX XML Cite \textit{C. Liu} and \textit{S. Zhu}, J. Comput. Math. 41, No. 5, 956--979 (2023; Zbl 07750350) Full Text: DOI
Chakib, Abdelkrim; Khalil, Ibrahim A new numerical approach for solving shape optimization fourth-order spectral problems among convex domains. (English) Zbl 07750315 Comput. Math. Appl. 149, 171-189 (2023). MSC: 65-XX 49-XX PDF BibTeX XML Cite \textit{A. Chakib} and \textit{I. Khalil}, Comput. Math. Appl. 149, 171--189 (2023; Zbl 07750315) Full Text: DOI
Li, Yingyuan; Yan, Wenjing; Zhu, Shengfeng; Jing, Feifei Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations. (English) Zbl 07710415 Appl. Numer. Math. 190, 220-253 (2023). MSC: 65Nxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Numer. Math. 190, 220--253 (2023; Zbl 07710415) Full Text: DOI
Bretin, Élie; Chapelat, Julien; Douanla-Lontsi, Charlie; Homolle, Thomas; Renard, Yves Shape sensitivity analysis of an elastic contact problem: convergence of the Nitsche based finite element approximation. (English) Zbl 07698254 Nonlinear Anal., Real World Appl. 72, Article ID 103836, 23 p. (2023). MSC: 74M15 74Pxx 74S05 PDF BibTeX XML Cite \textit{É. Bretin} et al., Nonlinear Anal., Real World Appl. 72, Article ID 103836, 23 p. (2023; Zbl 07698254) Full Text: DOI
Plotnikov, Pavel I.; Sokolowski, Jan Geometric aspects of shape optimization. (English) Zbl 1517.35112 J. Geom. Anal. 33, No. 7, Paper No. 206, 57 p. (2023). MSC: 35J62 35J25 35J57 PDF BibTeX XML Cite \textit{P. I. Plotnikov} and \textit{J. Sokolowski}, J. Geom. Anal. 33, No. 7, Paper No. 206, 57 p. (2023; Zbl 1517.35112) 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 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Zhu}, SIAM J. Sci. Comput. 45, No. 2, A798--A828 (2023; Zbl 1512.65254) Full Text: DOI
Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas Shape analysis via gradient flows on diffeomorphism groups. (English) Zbl 07641222 Nonlinearity 36, No. 2, 862-877 (2023). MSC: 58D05 35F25 68U10 PDF BibTeX XML Cite \textit{T. Balehowsky} et al., Nonlinearity 36, No. 2, 862--877 (2023; Zbl 07641222) Full Text: DOI arXiv
San, Bingbing; He, Haiyun; Feng, Dongming; Qiu, Ye; Huang, Yanting Constrained shape optimization of free-form shells considering material creep. (English) Zbl 07747894 Eng. Optim. 54, No. 10, 1787-1800 (2022). MSC: 74P10 49Q10 49M25 49M37 74P15 74S05 PDF BibTeX XML Cite \textit{B. San} et al., Eng. Optim. 54, No. 10, 1787--1800 (2022; Zbl 07747894) Full Text: DOI
Xiao, Qihang; Zhang, Guiyong; Chen, Zhigang; Hu, Huan; Wang, Shuangqiang; Xu, Youyun A novel virtual node selection scheme of cell-based smoothed radial point interpolation method (CS-RPIM) for mid-frequency acoustic problems. (English) Zbl 07714911 Int. J. Comput. Methods 19, No. 9, Article ID 2250015, 24 p. (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{Q. Xiao} et al., Int. J. Comput. Methods 19, No. 9, Article ID 2250015, 24 p. (2022; Zbl 07714911) Full Text: DOI
Romanov, A. V. A variational principle of Lagrange of the micropolar theory of elasticity in the case of transversely isotropic medium. (English. Russian original) Zbl 1511.74001 Mosc. Univ. Mech. Bull. 77, No. 4, 93-98 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 4, 35-39 (2022). MSC: 74A35 74B99 74S05 PDF BibTeX XML Cite \textit{A. V. Romanov}, Mosc. Univ. Mech. Bull. 77, No. 4, 93--98 (2022; Zbl 1511.74001); translation from Vestn. Mosk. Univ., Ser. I 77, No. 4, 35--39 (2022) Full Text: DOI
Ugolotti, Matteo; Vaughan, Benjamin; Orkwis, Paul A conceptual alternative machine learning-based method for mesh sensitivities calculation in a turbomachinery blades optimisation framework. (English) Zbl 1516.76071 Int. J. Comput. Fluid Dyn. 36, No. 7, 520-537 (2022). MSC: 76N25 76F10 76N06 76U05 76M99 68T05 PDF BibTeX XML Cite \textit{M. Ugolotti} et al., Int. J. Comput. Fluid Dyn. 36, No. 7, 520--537 (2022; Zbl 1516.76071) Full Text: DOI
Kunštek, Petar; Vrdoljak, Marko A quasi-Newton method in shape optimization for a transmission problem. (English) Zbl 1504.49058 Optim. Methods Softw. 37, No. 6, 2273-2299 (2022). MSC: 49Q10 49M15 49K20 65N30 80M50 PDF BibTeX XML Cite \textit{P. Kunštek} and \textit{M. Vrdoljak}, Optim. Methods Softw. 37, No. 6, 2273--2299 (2022; Zbl 1504.49058) Full Text: DOI
Yan, Wenjing; Li, Yingyuan; Hou, Jiangyong Shape optimization for an obstacle located in incompressible Boussinesq flow. (English) Zbl 1521.76126 Comput. Fluids 240, Article ID 105431, 10 p. (2022). MSC: 76D55 76M10 76M30 PDF BibTeX XML Cite \textit{W. Yan} et al., Comput. Fluids 240, Article ID 105431, 10 p. (2022; Zbl 1521.76126) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Zhu}, Comput. Methods Appl. Mech. Eng. 400, Article ID 115531, 28 p. (2022; Zbl 1507.49038) Full Text: DOI
Audibert, Lorenzo; Haddar, Houssem; Liu, Xiaoli An accelerated level-set method for inverse scattering problems. (English) Zbl 1496.78007 SIAM J. Imaging Sci. 15, No. 3, 1576-1600 (2022). MSC: 78A46 35P25 PDF BibTeX XML Cite \textit{L. Audibert} et al., SIAM J. Imaging Sci. 15, No. 3, 1576--1600 (2022; Zbl 1496.78007) Full Text: DOI
Gong, Wei; Li, Jiajie; Zhu, Shengfeng Improved discrete boundary type shape gradients for PDE-constrained shape optimization. (English) Zbl 1495.49026 SIAM J. Sci. Comput. 44, No. 4, A2464-A2505 (2022). MSC: 49Q10 65D15 65K10 65N30 PDF BibTeX XML Cite \textit{W. Gong} et al., SIAM J. Sci. Comput. 44, No. 4, A2464--A2505 (2022; Zbl 1495.49026) Full Text: DOI
Fall, Boubacar; Santambrogio, Filippo; Seck, Diaraf Shape derivative for obstacles in crowd motion. (English) Zbl 1515.76015 Math. Eng. (Springfield) 4, No. 2, Paper No. 12, 16 p. (2022). MSC: 76A30 76M30 76S05 PDF BibTeX XML Cite \textit{B. Fall} et al., Math. Eng. (Springfield) 4, No. 2, Paper No. 12, 16 p. (2022; Zbl 1515.76015) Full Text: DOI
Dick, Thomas; Gauger, Nicolas R.; Schmidt, Stephan Combining Sobolev smoothing with parameterized shape optimization. (English) Zbl 1521.76284 Comput. Fluids 244, Article ID 105568, 18 p. (2022). MSC: 76G25 65K10 49Q10 PDF BibTeX XML Cite \textit{T. Dick} et al., Comput. Fluids 244, Article ID 105568, 18 p. (2022; Zbl 1521.76284) Full Text: DOI arXiv
Du, Honghui; Wu, Junchao; Wang, Dongdong; Chen, Jian A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity. (English) Zbl 1493.74117 Comput. Mech. 70, No. 1, 73-100 (2022). MSC: 74S99 74B99 PDF BibTeX XML Cite \textit{H. Du} et al., Comput. Mech. 70, No. 1, 73--100 (2022; Zbl 1493.74117) Full Text: DOI
Dixit, Shivsai Ajit; Gupta, Abhishek; Choudhary, Harish; Prabhakaran, Thara Universal scaling of mean skin friction in turbulent boundary layers and fully developed pipe and channel flows. (English) Zbl 1494.76048 J. Fluid Mech. 943, Paper No. A43, 28 p. (2022). MSC: 76F40 76F10 76M45 PDF BibTeX XML Cite \textit{S. A. Dixit} et al., J. Fluid Mech. 943, Paper No. A43, 28 p. (2022; Zbl 1494.76048) Full Text: DOI
Fang, Weifu Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative. (English) Zbl 1491.35452 J. Comput. Appl. Math. 413, Article ID 114376, 13 p. (2022). MSC: 35R30 35J25 65N21 PDF BibTeX XML Cite \textit{W. Fang}, J. Comput. Appl. Math. 413, Article ID 114376, 13 p. (2022; Zbl 1491.35452) Full Text: DOI
Tanzadeh, Hojat; Amoushahi, Hossein Buckling analysis of orthotropic nanoplates based on nonlocal strain gradient theory using the higher-order finite strip method (H-FSM). (English) Zbl 1491.74030 Eur. J. Mech., A, Solids 95, Article ID 104622, 16 p. (2022). MSC: 74G60 74K20 74M25 74S99 PDF BibTeX XML Cite \textit{H. Tanzadeh} and \textit{H. Amoushahi}, Eur. J. Mech., A, Solids 95, Article ID 104622, 16 p. (2022; Zbl 1491.74030) 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 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Zhu}, J. Comput. Math. 40, No. 2, 231--257 (2022; Zbl 1499.49099) Full Text: DOI
Sayag, Amit; Givoli, Dan Shape identification of scatterers using a time-dependent adjoint method. (English) Zbl 1507.74182 Comput. Methods Appl. Mech. Eng. 394, Article ID 114923, 32 p. (2022). MSC: 74J20 78A46 PDF BibTeX XML Cite \textit{A. Sayag} and \textit{D. Givoli}, Comput. Methods Appl. Mech. Eng. 394, Article ID 114923, 32 p. (2022; Zbl 1507.74182) Full Text: DOI
Tango, Shuichi; Azegami, Hideyuki Acceleration of shape optimization analysis using model order reduction by Karhunen-Loève expansion. (English) Zbl 1480.49042 Japan J. Ind. Appl. Math. 39, No. 1, 385-401 (2022). MSC: 49Q10 49M27 35Q93 15A18 94A11 PDF BibTeX XML Cite \textit{S. Tango} and \textit{H. Azegami}, Japan J. Ind. Appl. Math. 39, No. 1, 385--401 (2022; Zbl 1480.49042) Full Text: DOI
Zhang, Xue; Wang, Lei; Chen, Wei-Qin; Yao, Xue-Min; Wang, Xin; Zhao, Yin-Chuan Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms. (English) Zbl 1497.35396 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022). MSC: 35Q35 35Q53 35C08 76B25 37K35 37K40 PDF BibTeX XML Cite \textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022; Zbl 1497.35396) Full Text: DOI
Katamine, Eiji; Kawai, Ryuga; Takahashi, Minori Shape design for controlling displacement distribution of a geometrically nonlinear structure by considering fluid-structure interaction. (English) Zbl 1498.74016 JSIAM Lett. 13, 52-55 (2021). MSC: 74F10 74P10 74S05 74B99 76D05 PDF BibTeX XML Cite \textit{E. Katamine} et al., JSIAM Lett. 13, 52--55 (2021; Zbl 1498.74016) Full Text: DOI
Shoptrajanov, Martin; Shekutkovski, Nikita Semiflows and intrinsic shape in topological spaces. (English) Zbl 1491.37022 Glas. Mat., III. Ser. 56, No. 2, 375-390 (2021). MSC: 37B35 37B25 54C56 PDF BibTeX XML Cite \textit{M. Shoptrajanov} and \textit{N. Shekutkovski}, Glas. Mat., III. Ser. 56, No. 2, 375--390 (2021; Zbl 1491.37022) Full Text: DOI
El Yazidi, Youness; Ellabib, Abdellatif An iterative method for optimal control of bilateral free boundaries problem. (English) Zbl 1472.49059 Math. Methods Appl. Sci. 44, No. 14, 11664-11683 (2021). MSC: 49N45 49Q10 65J20 65L50 65L60 90C59 PDF BibTeX XML Cite \textit{Y. El Yazidi} and \textit{A. Ellabib}, Math. Methods Appl. Sci. 44, No. 14, 11664--11683 (2021; Zbl 1472.49059) Full Text: DOI
Blauth, Sebastian Nonlinear conjugate gradient methods for PDE constrained shape optimization based on Steklov-Poincaré-type metrics. (English) Zbl 1468.49046 SIAM J. Optim. 31, No. 3, 1658-1689 (2021). MSC: 49Q10 49M05 35Q93 PDF BibTeX XML Cite \textit{S. Blauth}, SIAM J. Optim. 31, No. 3, 1658--1689 (2021; Zbl 1468.49046) Full Text: DOI arXiv
Gong, Wei; Zhu, Shengfeng On discrete shape gradients of boundary type for PDE-constrained shape optimization. (English) Zbl 1466.49035 SIAM J. Numer. Anal. 59, No. 3, 1510-1541 (2021). MSC: 49Q10 65D15 65K10 65N30 PDF BibTeX XML Cite \textit{W. Gong} and \textit{S. Zhu}, SIAM J. Numer. Anal. 59, No. 3, 1510--1541 (2021; Zbl 1466.49035) Full Text: DOI
Buffa, A.; Hiptmair, R.; Panchal, P. Adaptive approximation of shapes. (English) Zbl 1461.49052 Numer. Funct. Anal. Optim. 42, No. 2, 132-154 (2021). MSC: 49Q10 65F55 PDF BibTeX XML Cite \textit{A. Buffa} et al., Numer. Funct. Anal. Optim. 42, No. 2, 132--154 (2021; Zbl 1461.49052) Full Text: DOI
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin Stochastic approximation for optimization in shape spaces. (English) Zbl 1458.49034 SIAM J. Optim. 31, No. 1, 348-376 (2021). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R60 60H15 60H30 60H35 35R15 PDF BibTeX XML Cite \textit{C. Geiersbach} et al., SIAM J. Optim. 31, No. 1, 348--376 (2021; Zbl 1458.49034) Full Text: DOI arXiv
González Acosta, José León; Vardon, Philip J.; Remmerswaal, Guido; Hicks, Michael A. An investigation of stress inaccuracies and proposed solution in the material point method. (English) Zbl 1477.74118 Comput. Mech. 65, No. 2, 555-581 (2020). MSC: 74S99 PDF BibTeX XML Cite \textit{J. L. González Acosta} et al., Comput. Mech. 65, No. 2, 555--581 (2020; Zbl 1477.74118) Full Text: DOI
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel Liquid crystals on deformable surfaces. (English) Zbl 1472.82040 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200313, 23 p. (2020). MSC: 82D30 76A15 PDF BibTeX XML Cite \textit{I. Nitschke} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200313, 23 p. (2020; Zbl 1472.82040) Full Text: DOI arXiv
Shoptrajanov, Martin; Shekutkovski, Nikita Shape-invariant neighborhoods of nonsaddle sets. (English) Zbl 1489.37022 Regul. Chaotic Dyn. 25, No. 6, 581-596 (2020). Reviewer: Corina Mohorianu (Iaşi) MSC: 37B25 37B35 37B02 37B10 54C56 54E45 PDF BibTeX XML Cite \textit{M. Shoptrajanov} and \textit{N. Shekutkovski}, Regul. Chaotic Dyn. 25, No. 6, 581--596 (2020; Zbl 1489.37022) Full Text: DOI
Dróżdż, Artur; Elsner, Witold; Niegodajew, Paweł; Vinuesa, Ricardo; Örlü, Ramis; Schlatter, Philipp A description of turbulence intensity profiles for boundary layers with adverse pressure gradient. (English) Zbl 1478.76040 Eur. J. Mech., B, Fluids 84, 470-477 (2020). MSC: 76F40 PDF BibTeX XML Cite \textit{A. Dróżdż} et al., Eur. J. Mech., B, Fluids 84, 470--477 (2020; Zbl 1478.76040) Full Text: DOI
Nachaoui, M.; Chakib, A.; Nachaoui, A. An efficient evolutionary algorithm for a shape optimization problem. (English) Zbl 1489.49026 Appl. Comput. Math. 19, No. 2, 220-244 (2020). MSC: 49Q10 65K10 65N30 65Y05 93C42 90C27 35R35 PDF BibTeX XML Cite \textit{M. Nachaoui} et al., Appl. Comput. Math. 19, No. 2, 220--244 (2020; Zbl 1489.49026) Full Text: Link
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 PDF BibTeX XML Cite \textit{M. Abdelbari} et al., Control Cybern. 49, No. 1, 11--40 (2020; Zbl 1464.49028)
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles Null space gradient flows for constrained optimization with applications to shape optimization. (English) Zbl 1464.65064 ESAIM, Control Optim. Calc. Var. 26, Paper No. 90, 45 p. (2020). MSC: 65K10 49Q10 65L05 PDF BibTeX XML Cite \textit{F. Feppon} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 90, 45 p. (2020; Zbl 1464.65064) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Liedmann} et al., Comput. Mech. 66, No. 6, 1275--1291 (2020; Zbl 1466.74032) Full Text: DOI
Kwak, Songhun; Kim, Kwanghun; Choe, Kwangnam; Yun, Kumchol A local gradient smoothing method for solving strong form governing equation. (English) Zbl 1472.74211 Eur. J. Mech., A, Solids 84, Article ID 104073, 15 p. (2020). MSC: 74S99 PDF BibTeX XML Cite \textit{S. Kwak} et al., Eur. J. Mech., A, Solids 84, Article ID 104073, 15 p. (2020; Zbl 1472.74211) Full Text: DOI
Su, Wenshan; Hu, Yunpeng; Li, Kebo; Chen, Lei Rigidity of similarity-based formation and formation shape stabilization. (English) Zbl 1448.93017 Automatica 121, Article ID 109183, 7 p. (2020). MSC: 93A16 93D05 93B27 PDF BibTeX XML Cite \textit{W. Su} et al., Automatica 121, Article ID 109183, 7 p. (2020; Zbl 1448.93017) 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 arXiv
Shekutkovski, Nikita; Shoptrajanov, Martin Intrinsic shape property of global attractors in metrizable spaces. (English) Zbl 1446.37018 Russ. J. Nonlinear Dyn. 16, No. 1, 181-194 (2020). MSC: 37B35 37B02 37B25 PDF BibTeX XML Cite \textit{N. Shekutkovski} and \textit{M. Shoptrajanov}, Russ. J. Nonlinear Dyn. 16, No. 1, 181--194 (2020; Zbl 1446.37018) Full Text: DOI MNR
Etling, Tommy; Herzog, Roland; Loayza, Estefanía; Wachsmuth, Gerd First and second order shape optimization based on restricted mesh deformations. (English) Zbl 1475.49050 SIAM J. Sci. Comput. 42, No. 2, A1200-A1225 (2020). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 49Q10 65N30 49M15 PDF BibTeX XML Cite \textit{T. Etling} et al., SIAM J. Sci. Comput. 42, No. 2, A1200--A1225 (2020; Zbl 1475.49050) Full Text: DOI arXiv
Kružík, Martin; Pelech, Petr; Schlömerkemper, Anja Gradient polyconvexity in evolutionary models of shape-memory alloys. (English) Zbl 1432.49016 J. Optim. Theory Appl. 184, No. 1, 5-20 (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 35B05 35Q74 49J10 74A30 PDF BibTeX XML Cite \textit{M. Kružík} et al., J. Optim. Theory Appl. 184, No. 1, 5--20 (2020; Zbl 1432.49016) Full Text: DOI
Zhu, Shengfeng; Hu, Xianliang; Wu, Qingbiao On accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimization. (English) Zbl 1477.65183 J. Comput. Appl. Math. 365, Article ID 112374, 15 p. (2020). MSC: 65N25 65N15 PDF BibTeX XML Cite \textit{S. Zhu} et al., J. Comput. Appl. Math. 365, Article ID 112374, 15 p. (2020; Zbl 1477.65183) Full Text: DOI
Shoptrajanov, M. Localization of the chain recurrent set using shape theory and symbolical dynamics. (English) Zbl 1483.37026 Topol. Algebra Appl. 7, 13-28 (2019). MSC: 37B20 37B35 37B25 54C56 PDF BibTeX XML Cite \textit{M. Shoptrajanov}, Topol. Algebra Appl. 7, 13--28 (2019; Zbl 1483.37026) Full Text: DOI
Zhu, Shengfeng; Gao, Zhiming Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation. (English) Zbl 1440.76093 Comput. Methods Appl. Mech. Eng. 343, 127-150 (2019). MSC: 76M10 65N30 65N12 76D07 PDF BibTeX XML Cite \textit{S. Zhu} and \textit{Z. Gao}, Comput. Methods Appl. Mech. Eng. 343, 127--150 (2019; Zbl 1440.76093) Full Text: DOI
Chen, Liming; Qiu, Haobo; Gao, Liang; Jiang, Chen; Yang, Zan A screening-based gradient-enhanced Kriging modeling method for high-dimensional problems. (English) Zbl 1470.74069 Appl. Math. Modelling 69, 15-31 (2019). MSC: 74S99 74P10 76N25 PDF BibTeX XML Cite \textit{L. Chen} et al., Appl. Math. Modelling 69, 15--31 (2019; Zbl 1470.74069) Full Text: DOI
Luft, Daniel; Welker, Kathrin Computational investigations of an obstacle-type shape optimization problem in the space of smooth shapes. (English) Zbl 1458.49035 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 579-588 (2019). MSC: 49Q10 49J40 90C53 58D29 PDF BibTeX XML Cite \textit{D. Luft} and \textit{K. Welker}, Lect. Notes Comput. Sci. 11712, 579--588 (2019; Zbl 1458.49035) 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 PDF BibTeX XML Cite \textit{M. Hrizi} et al., Math. Methods Appl. Sci. 42, No. 18, 6083--6100 (2019; Zbl 1434.35220) Full Text: DOI
Gottschalk, Hanno; Saadi, Mohamed Shape gradients for the failure probability of a mechanic component under cyclic loading: a discrete adjoint approach. (English) Zbl 1466.74040 Comput. Mech. 64, No. 4, 895-915 (2019). MSC: 74R99 74S60 62N05 PDF BibTeX XML Cite \textit{H. Gottschalk} and \textit{M. Saadi}, Comput. Mech. 64, No. 4, 895--915 (2019; Zbl 1466.74040) Full Text: DOI arXiv
Rabago, Julius Fergy T.; Azegami, Hideyuki A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem. (English) Zbl 1423.35468 Evol. Equ. Control Theory 8, No. 4, 785-824 (2019). MSC: 35R35 35N25 49K20 49Q10 PDF BibTeX XML Cite \textit{J. F. T. Rabago} and \textit{H. Azegami}, Evol. Equ. Control Theory 8, No. 4, 785--824 (2019; Zbl 1423.35468) Full Text: DOI
García Calcines, J. M.; Hernández Paricio, L. J.; Marañón Grandes, M.; Rivas Rodríguez, M. T. Regions of attraction, limits and end points of an exterior discrete semi-flow. (English) Zbl 1426.37014 Homology Homotopy Appl. 21, No. 2, 83-106 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37B25 37B35 37C10 37C25 55P55 55P57 PDF BibTeX XML Cite \textit{J. M. García Calcines} et al., Homology Homotopy Appl. 21, No. 2, 83--106 (2019; Zbl 1426.37014) Full Text: DOI arXiv
Li, Jiajie; Zhu, Shengfeng Shape identification in Stokes flow with distributed shape gradients. (English) Zbl 1448.76070 Appl. Math. Lett. 95, 165-171 (2019). MSC: 76D07 76D55 76M20 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Zhu}, Appl. Math. Lett. 95, 165--171 (2019; Zbl 1448.76070) Full Text: DOI
Yan, Wenjing; Liu, Meng; Jing, Feifei Shape inverse problem for Stokes-Brinkmann equations. (English) Zbl 1445.76057 Appl. Math. Lett. 88, 222-229 (2019). MSC: 76M21 76S05 76D05 PDF BibTeX XML Cite \textit{W. Yan} et al., Appl. Math. Lett. 88, 222--229 (2019; Zbl 1445.76057) Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Applications of the topological derivative method. (English) Zbl 1460.74001 Studies in Systems, Decision and Control 188. Cham: Springer (ISBN 978-3-030-05431-1/hbk; 978-3-030-05432-8/ebook). xiv, 212 p. (2019). Reviewer: Teodor Atanacković (Novi Sad) MSC: 74-02 74P15 74S99 74K99 65K10 PDF BibTeX XML Cite \textit{A. A. Novotny} et al., Applications of the topological derivative method. Cham: Springer (2019; Zbl 1460.74001) 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 PDF BibTeX XML Cite \textit{K. Afef}, Electron. J. Math. Anal. Appl. 7, No. 1, 289--313 (2019; Zbl 1394.35207)
Wang, Jing; Xie, Fangfang; Zheng, Yao; Zhang, Jifa; Yang, Bowei; Ji, Tingwei Virtual Stackelberg game coupled with the adjoint method for aerodynamic shape optimization. (English) Zbl 07636641 Eng. Optim. 50, No. 10, 1733-1754 (2018). MSC: 74P20 91A65 PDF BibTeX XML Cite \textit{J. Wang} et al., Eng. Optim. 50, No. 10, 1733--1754 (2018; Zbl 07636641) Full Text: DOI
Crasmareanu, Mircea A new approach to gradient Ricci solitons and generalizations. (English) Zbl 1499.53216 Filomat 32, No. 9, 3337-3346 (2018). MSC: 53C25 53C21 53E10 PDF BibTeX XML Cite \textit{M. Crasmareanu}, Filomat 32, No. 9, 3337--3346 (2018; Zbl 1499.53216) Full Text: DOI arXiv
Chancharoen, Wares; Azegami, Hideyuki Shape optimization for a linear elastic fish robot. (English) Zbl 1408.49040 JSIAM Lett. 10, 65-68 (2018). MSC: 49Q10 49N90 74P10 PDF BibTeX XML Cite \textit{W. Chancharoen} and \textit{H. Azegami}, JSIAM Lett. 10, 65--68 (2018; Zbl 1408.49040) Full Text: DOI
Hayashi, Takuya; Azegami, Hideyuki Shape optimization of bodies of musical instruments. (English) Zbl 1409.74036 JSIAM Lett. 10, 29-32 (2018). MSC: 74P15 49Q10 PDF BibTeX XML Cite \textit{T. Hayashi} and \textit{H. Azegami}, JSIAM Lett. 10, 29--32 (2018; Zbl 1409.74036) Full Text: DOI
Belhachmi, Zakaria; Meftahi, Belhassen; Meftahi, Houcine Optimal heat distributions by a gradient-based shape optimization method. (English) Zbl 1417.80001 Control Cybern. 47, No. 1, 33-53 (2018). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A20 80M50 90C31 90C52 90C56 PDF BibTeX XML Cite \textit{Z. Belhachmi} et al., Control Cybern. 47, No. 1, 33--53 (2018; Zbl 1417.80001)
Dehghan, Mehdi; Narimani, Niusha Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation. (English) Zbl 1413.65381 Comput. Appl. Math. 37, No. 5, 6955-6971 (2018). MSC: 65M70 65L06 35Q92 92C15 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{N. Narimani}, Comput. Appl. Math. 37, No. 5, 6955--6971 (2018; Zbl 1413.65381) Full Text: DOI
Quéau, Yvain; Durou, Jean-Denis; Aujol, Jean-François Variational methods for normal integration. (English) Zbl 1420.94019 J. Math. Imaging Vis. 60, No. 4, 609-632 (2018). MSC: 94A08 49M20 PDF BibTeX XML Cite \textit{Y. Quéau} et al., J. Math. Imaging Vis. 60, No. 4, 609--632 (2018; Zbl 1420.94019) Full Text: DOI arXiv Link
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
Doğan, Günay An efficient Lagrangian algorithm for an anisotropic geodesic active contour model. (English) Zbl 1489.65038 Lauze, François (ed.) et al., Scale space and variational methods in computer vision. 6th international conference, SSVM 2017, Kolding, Denmark, June 4–8, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10302, 408-420 (2017). MSC: 65D18 PDF BibTeX XML Cite \textit{G. Doğan}, Lect. Notes Comput. Sci. 10302, 408--420 (2017; Zbl 1489.65038) Full Text: DOI
Wang, Wenjia; Clausen, Peter M.; Bletzinger, Kai-Uwe Efficient adjoint sensitivity analysis of isotropic hardening elastoplasticity via load steps reduction approximation. (English) Zbl 1439.74069 Comput. Methods Appl. Mech. Eng. 325, 612-644 (2017). MSC: 74C05 65N30 74S05 PDF BibTeX XML Cite \textit{W. Wang} et al., Comput. Methods Appl. Mech. Eng. 325, 612--644 (2017; Zbl 1439.74069) 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 Link
Bonnaillie-Noël, Virginie; Léna, Corentin Spectral minimal partitions for a family of tori. (English) Zbl 1379.49039 Exp. Math. 26, No. 4, 381-395 (2017). MSC: 49Q10 35J05 65K10 65N06 65N25 49R05 PDF BibTeX XML Cite \textit{V. Bonnaillie-Noël} and \textit{C. Léna}, Exp. Math. 26, No. 4, 381--395 (2017; Zbl 1379.49039) Full Text: DOI arXiv
Kraft, D. Self-consistent gradient flow for shape optimization. (English) Zbl 1379.49040 Optim. Methods Softw. 32, No. 4, 790-812 (2017). MSC: 49Q10 65D18 65J22 65K10 PDF BibTeX XML Cite \textit{D. Kraft}, Optim. Methods Softw. 32, No. 4, 790--812 (2017; Zbl 1379.49040) Full Text: DOI
Afef, Kallekh A geometric inverse problem for the detection of an anomaly using topological sensitivity analysis method. (English) Zbl 1455.74073 J. Abstr. Differ. Equ. Appl. 8, No. 1, 84-98 (2017). MSC: 74P10 74P15 74G75 74L15 PDF BibTeX XML Cite \textit{K. Afef}, J. Abstr. Differ. Equ. Appl. 8, No. 1, 84--98 (2017; Zbl 1455.74073) Full Text: Link
Blank, Luise; Rupprecht, Christoph An extension of the projected gradient method to a Banach space setting with application in structural topology optimization. (English) Zbl 1366.49032 SIAM J. Control Optim. 55, No. 3, 1481-1499 (2017). MSC: 49M05 49M15 65K10 65K15 74P05 90C30 90C48 PDF BibTeX XML Cite \textit{L. Blank} and \textit{C. Rupprecht}, SIAM J. Control Optim. 55, No. 3, 1481--1499 (2017; Zbl 1366.49032) Full Text: DOI arXiv
Li, Tianyi; Marigo, Jean-Jacques Crack tip equation of motion in dynamic gradient damage models. (English) Zbl 1362.74030 J. Elasticity 127, No. 1, 25-57 (2017). MSC: 74R10 49J40 47J30 PDF BibTeX XML Cite \textit{T. Li} and \textit{J.-J. Marigo}, J. Elasticity 127, No. 1, 25--57 (2017; Zbl 1362.74030) Full Text: DOI HAL
Yan, Wenjing; Gao, Zhiming The application of adjoint method for shape optimization in Stokes-Oseen flow. (English) Zbl 1362.49023 Math. Methods Appl. Sci. 40, No. 4, 1114-1125 (2017). MSC: 49Q10 49K40 49J35 76D55 49M30 PDF BibTeX XML Cite \textit{W. Yan} and \textit{Z. Gao}, Math. Methods Appl. Sci. 40, No. 4, 1114--1125 (2017; Zbl 1362.49023) Full Text: DOI
Flores, M. J.; Gual-Arnau, X.; Ibáñez, M. V.; Simó, A. Intrinsic sample mean in the space of planar shapes. (English) Zbl 1414.68093 Pattern Recognition 60, 164-176 (2016). MSC: 68T10 68U05 PDF BibTeX XML Cite \textit{M. J. Flores} et al., Pattern Recognition 60, 164--176 (2016; Zbl 1414.68093) Full Text: DOI
Auricchio, Ferdinando; Boatti, Elisa; Reali, Alessandro; Stefanelli, Ulisse Gradient structures for the thermomechanics of shape-memory materials. (English) Zbl 1423.80011 Comput. Methods Appl. Mech. Eng. 299, 440-469 (2016). MSC: 80A17 74D10 74F05 PDF BibTeX XML Cite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 299, 440--469 (2016; Zbl 1423.80011) Full Text: DOI
Satake, Masayoshi; Azegami, Hideyuki Shape optimization of waveguide filter. (English) Zbl 1421.78021 JSIAM Lett. 8, 33-36 (2016). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A50 78M50 PDF BibTeX XML Cite \textit{M. Satake} and \textit{H. Azegami}, JSIAM Lett. 8, 33--36 (2016; Zbl 1421.78021) Full Text: DOI
Shintani, Kohei; Azegami, Hideyuki Bead shape optimization in frequency response problem. (English) Zbl 1461.74064 JSIAM Lett. 8, 13-16 (2016). MSC: 74P05 74K25 PDF BibTeX XML Cite \textit{K. Shintani} and \textit{H. Azegami}, JSIAM Lett. 8, 13--16 (2016; Zbl 1461.74064) Full Text: DOI
Satake, Masayoshi; Maeda, Noboru; Fukui, Shinji; Azegami, Hideyuki Shape optimization of an electrostatic capacitive sensor. (English) Zbl 1367.35163 Japan J. Ind. Appl. Math. 33, No. 3, 599-619 (2016). MSC: 35Q60 78A30 78M50 49Q10 78M10 90C52 35Q93 93B30 PDF BibTeX XML Cite \textit{M. Satake} et al., Japan J. Ind. Appl. Math. 33, No. 3, 599--619 (2016; Zbl 1367.35163) Full Text: DOI
Grasedyck, Lars; Wang, Lu; Xu, Jinchao A nearly optimal multigrid method for general unstructured grids. (English) Zbl 1356.65241 Numer. Math. 134, No. 3, 637-666 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N30 65F08 35J25 65N50 65N12 PDF BibTeX XML Cite \textit{L. Grasedyck} et al., Numer. Math. 134, No. 3, 637--666 (2016; Zbl 1356.65241) Full Text: DOI arXiv
Dostál, Zdeněk; Kozubek, Tomáš; Sadowská, Marie; Vondrák, Vít Scalable algorithms for contact problems. (English) Zbl 1383.74002 Advances in Mechanics and Mathematics 36. New York, NY: Springer (ISBN 978-1-4939-6832-9/hbk; 978-1-4939-6834-3/ebook). xix, 340 p. (2016). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 74-02 65-02 74M15 74M10 74S30 35J57 74B05 PDF BibTeX XML Cite \textit{Z. Dostál} et al., Scalable algorithms for contact problems. New York, NY: Springer (2016; Zbl 1383.74002) Full Text: DOI
Caubet, Fabien; Conca, Carlos; Godoy, Matías On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. (English) Zbl 1350.49050 Inverse Probl. Imaging 10, No. 2, 327-367 (2016). MSC: 49N45 49Q10 49Q12 49M30 35R30 76D55 PDF BibTeX XML Cite \textit{F. Caubet} et al., Inverse Probl. Imaging 10, No. 2, 327--367 (2016; Zbl 1350.49050) Full Text: DOI
Jaïem, Emna Shape derivative of an energy error functional for voids detection from sub-Cauchy data. (English) Zbl 1348.35320 Electron. J. Differ. Equ. 2016, Paper No. 265, 13 p. (2016). MSC: 35R30 74B05 PDF BibTeX XML Cite \textit{E. Jaïem}, Electron. J. Differ. Equ. 2016, Paper No. 265, 13 p. (2016; Zbl 1348.35320) Full Text: EMIS
Charpiat, Guillaume; Nardi, Giacomo; Peyré, Gabriel; Vialard, François-Xavier Piecewise rigid curve deformation via a Finsler steepest descent. (English) Zbl 1344.49046 Interfaces Free Bound. 18, No. 1, 1-44 (2016). MSC: 49M25 49Q20 49J45 65K10 68U05 PDF BibTeX XML Cite \textit{G. Charpiat} et al., Interfaces Free Bound. 18, No. 1, 1--44 (2016; Zbl 1344.49046) Full Text: DOI arXiv
Quéau, Yvain; Durou, Jean-Denis Edge-preserving integration of a normal field: weighted least-squares, TV and \(L^1\) approaches. (English) Zbl 1453.94016 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 576-588 (2015). MSC: 94A08 49M25 68U10 PDF BibTeX XML Cite \textit{Y. Quéau} and \textit{J.-D. Durou}, Lect. Notes Comput. Sci. 9087, 576--588 (2015; Zbl 1453.94016) Full Text: DOI
Doğan, Günay Fast minimization of region-based active contours using the shape Hessian of the energy. (English) Zbl 1444.94010 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 307-319 (2015). MSC: 94A08 49Q10 65D18 PDF BibTeX XML Cite \textit{G. Doğan}, Lect. Notes Comput. Sci. 9087, 307--319 (2015; Zbl 1444.94010) Full Text: DOI
Najafi, Ahmad R.; Safdari, Masoud; Tortorelli, Daniel A.; Geubelle, Philippe H. A gradient-based shape optimization scheme using an interface-enriched generalized FEM. (English) Zbl 1423.74781 Comput. Methods Appl. Mech. Eng. 296, 1-17 (2015). MSC: 74P20 74S05 65N30 PDF BibTeX XML Cite \textit{A. R. Najafi} et al., Comput. Methods Appl. Mech. Eng. 296, 1--17 (2015; Zbl 1423.74781) Full Text: DOI
Druet, Pierre-Étienne Some mathematical problems related to the second order optimal shape of a crystallisation interface. (English) Zbl 1334.49132 Discrete Contin. Dyn. Syst. 35, No. 6, 2443-2463 (2015). MSC: 49Q10 49K20 74F10 53A10 35J25 80A22 PDF BibTeX XML Cite \textit{P.-É. Druet}, Discrete Contin. Dyn. Syst. 35, No. 6, 2443--2463 (2015; Zbl 1334.49132) Full Text: DOI
Yan, Wenjing; Duan, Xianbao; Guan, Guoxing Discontinuity identification for heat conduction problem based on the adjoint method. (English) Zbl 1340.49006 Chin. J. Eng. Math. 32, No. 4, 623-632 (2015). MSC: 49J20 49Q10 PDF BibTeX XML Cite \textit{W. Yan} et al., Chin. J. Eng. Math. 32, No. 4, 623--632 (2015; Zbl 1340.49006) Full Text: DOI
Fotouhi, H.; Golalizadeh, M. Highly resistant gradient descent algorithm for computing intrinsic mean shape on similarity shape spaces. (English) Zbl 1364.62122 Stat. Pap. 56, No. 2, 391-410 (2015). MSC: 62H11 PDF BibTeX XML Cite \textit{H. Fotouhi} and \textit{M. Golalizadeh}, Stat. Pap. 56, No. 2, 391--410 (2015; Zbl 1364.62122) Full Text: DOI
Liu, Yang; Shimoda, Masatoshi Two-step shape optimization methodology for designing free-form shells. (English) Zbl 1308.35320 Inverse Probl. Sci. Eng. 23, No. 1, 1-15 (2015). MSC: 35Q93 35Q74 74K25 49Q10 93C20 90C52 65K10 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{M. Shimoda}, Inverse Probl. Sci. Eng. 23, No. 1, 1--15 (2015; Zbl 1308.35320) Full Text: DOI
Lu, Lizheng Planar quintic \(G^2\) Hermite interpolation with minimum strain energy. (English) Zbl 1296.65017 J. Comput. Appl. Math. 274, 109-117 (2015). MSC: 65D05 PDF BibTeX XML Cite \textit{L. Lu}, J. Comput. Appl. Math. 274, 109--117 (2015; Zbl 1296.65017) Full Text: DOI
Shintani, Kouhei; Azegami, Hideyuki Shape optimization of a rubber bushing. (English) Zbl 1409.74037 JSIAM Lett. 6, 89-92 (2014). MSC: 74P15 49Q10 49M25 PDF BibTeX XML Cite \textit{K. Shintani} and \textit{H. Azegami}, JSIAM Lett. 6, 89--92 (2014; Zbl 1409.74037) Full Text: DOI
Azegami, Hideyuki; Ohtsuka, Kohji; Kimura, Masato Shape derivative of cost function for singular point: evaluation by the generalized J integral. (English) Zbl 1410.49048 JSIAM Lett. 6, 29-32 (2014). MSC: 49Q10 35Q93 PDF BibTeX XML Cite \textit{H. Azegami} et al., JSIAM Lett. 6, 29--32 (2014; Zbl 1410.49048) Full Text: DOI
Su, Jian; Chen, Zhangxin; Wang, Zhiheng; Xi, Guang An adaptive finite element method for shape optimization in stationary incompressible flow with damping. (English) Zbl 1463.65377 Int. J. Numer. Anal. Model., Ser. B 5, No. 1-2, 79-96 (2014). MSC: 65N30 49J20 65N50 49Q10 65N15 35B65 76M10 35Q35 PDF BibTeX XML Cite \textit{J. Su} et al., Int. J. Numer. Anal. Model., Ser. B 5, No. 1--2, 79--96 (2014; Zbl 1463.65377)
Blank, Luise; Farshbaf-Shaker, M. Hassan; Garcke, Harald; Rupprecht, Christoph; Styles, Vanessa Multi-material phase field approach to structural topology optimization. (English) Zbl 1327.49068 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 231-246 (2014). MSC: 49Q10 74P05 74P15 90C52 65K15 PDF BibTeX XML Cite \textit{L. Blank} et al., ISNM, Int. Ser. Numer. Math. 165, 231--246 (2014; Zbl 1327.49068) Full Text: DOI arXiv