ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)

Geometric Partial Differential Equations - Part II

Grégoire Allaire, Charles Dapogny and François Jouve
Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 1 (2021)
DOI: 10.1016/bs.hna.2020.10.004
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Coupled optimization of macroscopic structures and lattice infill

Perle Geoffroy‐Donders, Grégoire Allaire, Georgios Michailidis and Olivier Pantz
International Journal for Numerical Methods in Engineering (2020)
DOI: 10.1002/nme.6392
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Design of thermoelastic multi-material structures with graded interfaces using topology optimization

A. Faure, G. Michailidis, G. Parry, N. Vermaak and R. Estevez
Structural and Multidisciplinary Optimization 56 (4) 823 (2017)
DOI: 10.1007/s00158-017-1688-2
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Additive manufacturing scanning paths optimization using shape optimization tools

M. Boissier, G. Allaire and C. Tournier
Structural and Multidisciplinary Optimization 61 (6) 2437 (2020)
DOI: 10.1007/s00158-020-02614-3
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Topological Optimization of Multi - material Structures Based on Level Set Method

Dongyue Qu, Chunhua Zhao, Xiuming Li and Haibing Zhang
IOP Conference Series: Materials Science and Engineering 274 012054 (2017)
DOI: 10.1088/1757-899X/274/1/012054
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Advances in Structural and Multidisciplinary Optimization

Andrzej Myśliński
Advances in Structural and Multidisciplinary Optimization 1069 (2018)
DOI: 10.1007/978-3-319-67988-4_81
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Uniform thickness control without pre-specifying the length scale target under the level set topology optimization framework

Jikai Liu, Lei Li and Yongsheng Ma
Advances in Engineering Software 115 204 (2018)
DOI: 10.1016/j.advengsoft.2017.09.013
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A new multi-material level set topology optimization method with the length scale control capability

Jikai Liu and Yongsheng Ma
Computer Methods in Applied Mechanics and Engineering 329 444 (2018)
DOI: 10.1016/j.cma.2017.10.011
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Multiple level set method for multi-material shape optimization in electromagnetic system

Kang Hyouk Lee, Kyung Sik Seo, Hong Soon Choi and Il Han Park
International Journal of Applied Electromagnetics and Mechanics 56 183 (2018)
DOI: 10.3233/JAE-172290
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Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures

G. Allaire and T. Yamada
Numerische Mathematik 140 (2) 265 (2018)
DOI: 10.1007/s00211-018-0972-4
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Layout Optimization of Ill-Loaded Multiphase Bi-Modulus Materials

Kun Cai, Jing Cao, Jiao Shi and Qing H. Qin
International Journal of Applied Mechanics 08 (03) 1650038 (2016)
DOI: 10.1142/S1758825116500381
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Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers

F. Feppon, G. Allaire, C. Dapogny and P. Jolivet
Computer Methods in Applied Mechanics and Engineering 376 113638 (2021)
DOI: 10.1016/j.cma.2020.113638
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Design of pipeline opening layout through level set topology optimization

Jikai Liu and Yongsheng Ma
Structural and Multidisciplinary Optimization 55 (5) 1613 (2017)
DOI: 10.1007/s00158-016-1602-3
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Level-set topology optimization for multimaterial and multifunctional mechanical metamaterials

Yu Wang, Jie Gao, Zhen Luo, Terry Brown and Nong Zhang
Engineering Optimization 49 (1) 22 (2017)
DOI: 10.1080/0305215X.2016.1164853
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Variational Analysis and Aerospace Engineering

Grégoire Allaire, François Jouve and Georgios Michailidis
Springer Optimization and Its Applications, Variational Analysis and Aerospace Engineering 116 1 (2016)
DOI: 10.1007/978-3-319-45680-5_1
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Optimal design of multiphase composites under elastodynamic loading

Rouhollah Tavakoli
Computer Methods in Applied Mechanics and Engineering 300 265 (2016)
DOI: 10.1016/j.cma.2015.11.026
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A level-set based multi-material topology optimization method using a reaction diffusion equation

Mingtao Cui, Hongfang Chen and Jingling Zhou
Computer-Aided Design 73 41 (2016)
DOI: 10.1016/j.cad.2015.12.002
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System Modeling and Optimization

Andrzej Myśliński
IFIP Advances in Information and Communication Technology, System Modeling and Optimization 494 380 (2016)
DOI: 10.1007/978-3-319-55795-3_36
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Topology optimization of shell–infill structures using an erosion-based interface identification method

Yunfeng Luo, Quhao Li and Shutian Liu
Computer Methods in Applied Mechanics and Engineering 355 94 (2019)
DOI: 10.1016/j.cma.2019.05.017
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Geometric constraints for shape and topology optimization in architectural design

Charles Dapogny, Alexis Faure, Georgios Michailidis, et al.
Computational Mechanics 59 (6) 933 (2017)
DOI: 10.1007/s00466-017-1383-6
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Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity

Charles Dapogny and Michael S. Vogelius
Chinese Annals of Mathematics, Series B 38 (1) 293 (2017)
DOI: 10.1007/s11401-016-1072-3
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Paleo-tribology: development of wear measurement techniques and a three-dimensional model revealing how grinding dentitions self-wear to enable functionality

Gregory M Erickson, Mark A Sidebottom, John F Curry, et al.
Surface Topography: Metrology and Properties 4 (2) 024001 (2016)
DOI: 10.1088/2051-672X/4/2/024001
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Thickness control in structural optimization via a level set method

G. Allaire, F. Jouve and G. Michailidis
Structural and Multidisciplinary Optimization 53 (6) 1349 (2016)
DOI: 10.1007/s00158-016-1453-y
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Shape optimization with a level set based mesh evolution method

G. Allaire, C. Dapogny and P. Frey
Computer Methods in Applied Mechanics and Engineering 282 22 (2014)
DOI: 10.1016/j.cma.2014.08.028
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Multiple materials layout optimization in a layered structure

Jing Cao, Kun Cai, Peng Fei Wang, Dong Yan and Jiao Shi
Mechanics & Industry 17 (4) 404 (2016)
DOI: 10.1051/meca/2015066
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Structural optimization of contact problems using Cahn–Hilliard model

A. Myśliński and M. Wróblewski
Computers & Structures 180 52 (2017)
DOI: 10.1016/j.compstruc.2016.03.013
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A level set-based topology optimization method for simultaneous design of elastic structure and coupled acoustic cavity using a two-phase material model

Yuki Noguchi, Takashi Yamamoto, Takayuki Yamada, Kazuhiro Izui and Shinji Nishiwaki
Journal of Sound and Vibration 404 15 (2017)
DOI: 10.1016/j.jsv.2017.05.040
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Layout optimization for multi-bi-modulus materials system under multiple load cases

Jiao Shi, Jing Cao, Kun Cai, Zhenzhong Wang and Qing-Hua Qin
Engineering with Computers 32 (4) 745 (2016)
DOI: 10.1007/s00366-016-0450-5
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Optimal layout of multiple bi-modulus materials

Kun Cai, Jing Cao, Jiao Shi, Lingnan Liu and Qing H. Qin
Structural and Multidisciplinary Optimization 53 (4) 801 (2016)
DOI: 10.1007/s00158-015-1365-2
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Taking into Account Thermal Residual Stresses in Topology Optimization of Structures Built by Additive Manufacturing

Gregoire Allaire and Lukas Jakabcin
Mathematical Models and Methods in Applied Sciences (2018)
DOI: 10.1142/S0218202518500501
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Sharp Interface Limit for a Phase Field Model in Structural Optimization

Luise Blank, Harald Garcke, Claudia Hecht and Christoph Rupprecht
SIAM Journal on Control and Optimization 54 (3) 1558 (2016)
DOI: 10.1137/140989066
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A Pareto-Optimal Approach to Multimaterial Topology Optimization

Amir M. Mirzendehdel and Krishnan Suresh
Journal of Mechanical Design 137 (10) (2015)
DOI: 10.1115/1.4031088
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On the formulation and implementation of geometric and manufacturing constraints in node–based shape optimization

Oliver Schmitt, Jan Friederich, Stefan Riehl and Paul Steinmann
Structural and Multidisciplinary Optimization 53 (4) 881 (2016)
DOI: 10.1007/s00158-015-1359-0
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A level set-based structural optimization code using FEniCS

Antoine Laurain
Structural and Multidisciplinary Optimization 58 (3) 1311 (2018)
DOI: 10.1007/s00158-018-1950-2
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A meshless method for multi-material topology optimization based on the alternating active-phase algorithm

Mingtao Cui, Hongfang Chen, Jingling Zhou and Fanglin Wang
Engineering with Computers 33 (4) 871 (2017)
DOI: 10.1007/s00366-017-0503-4
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Multi-Material Heatsink Design Using Level-Set Topology Optimization

Mani Sekaran Santhanakrishnan, Tim Tilford and Chris Bailey
IEEE Transactions on Components, Packaging and Manufacturing Technology 9 (8) 1504 (2019)
DOI: 10.1109/TCPMT.2019.2929017
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Topological derivative for an acoustic-elastic coupled system based on two-phase material model

Yuki NOGUCHI, Takayuki YAMADA, Takashi YAMAMOTO, Kazuhiro IZUI and Shinji NISHIWAKI
Mechanical Engineering Letters 2 16-00246 (2016)
DOI: 10.1299/mel.16-00246
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Material interface effects on the topology optimizationof multi-phase structures using a level set method

Natasha Vermaak, Georgios Michailidis, Guillaume Parry, et al.
Structural and Multidisciplinary Optimization 50 (4) 623 (2014)
DOI: 10.1007/s00158-014-1074-2
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Multi-material plastic part design via the level set shape and topology optimization method

Jikai Liu, Kajsa Duke and Yongsheng Ma
Engineering Optimization 48 (11) 1910 (2016)
DOI: 10.1080/0305215X.2016.1141203
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A novel CACD/CAD/CAE integrated design framework for fiber-reinforced plastic parts

Jikai Liu, Yongsheng Ma, Junyu Fu and Kajsa Duke
Advances in Engineering Software 87 13 (2015)
DOI: 10.1016/j.advengsoft.2015.04.013
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Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation

Wenbo Zhang and Zhan Kang
International Journal for Numerical Methods in Engineering 110 (1) 31 (2017)
DOI: 10.1002/nme.5344
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A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets

Hao Li, Zhen Luo, Mi Xiao, Liang Gao and Jie Gao
Computer Methods in Applied Mechanics and Engineering 356 116 (2019)
DOI: 10.1016/j.cma.2019.07.020
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Structural shape and topology optimization of cast parts using level set method

Yaguang Wang and Zhan Kang
International Journal for Numerical Methods in Engineering 111 (13) 1252 (2017)
DOI: 10.1002/nme.5503
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Integrated design optimization of structural topology and heat source layout

Yaguang Wang, Yangjun Luo and Zhan Kang
International Journal of Heat and Mass Transfer 169 120943 (2021)
DOI: 10.1016/j.ijheatmasstransfer.2021.120943
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Shape and topology optimization considering anisotropic features induced by additive manufacturing processes

Charles Dapogny, Rafael Estevez, Alexis Faure and Georgios Michailidis
Computer Methods in Applied Mechanics and Engineering 344 626 (2019)
DOI: 10.1016/j.cma.2018.09.036
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Design of shell-infill structures by a multiscale level set topology optimization method

Junjian Fu, Hao Li, Liang Gao and Mi Xiao
Computers & Structures 212 162 (2019)
DOI: 10.1016/j.compstruc.2018.10.006
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Efficient Steady-State Computation for Wear of Multimaterial Composites

Florian Feppon, Mark A. Sidebottom, Georgios Michailidis, Brandon A. Krick and Natasha Vermaak
Journal of Tribology 138 (3) 031602 (2016)
DOI: 10.1115/1.4031993
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A Geometric Approach to Dynamical Model Order Reduction

Florian Feppon and Pierre F. J. Lermusiaux
SIAM Journal on Matrix Analysis and Applications 39 (1) 510 (2018)
DOI: 10.1137/16M1095202
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Structural optimization under internal porosity constraints using topological derivatives

J. Martínez-Frutos, G. Allaire, C. Dapogny and F. Periago
Computer Methods in Applied Mechanics and Engineering 345 1 (2019)
DOI: 10.1016/j.cma.2018.10.036
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Robust topology optimization of multi-material structures considering uncertain graded interface

Zhan Kang, Chunlei Wu, Yangjun Luo and Ming Li
Composite Structures 208 395 (2019)
DOI: 10.1016/j.compstruct.2018.10.034
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Topology optimization of frequency dependent viscoelastic structures via a level-set method

G. Delgado and M. Hamdaoui
Applied Mathematics and Computation 347 522 (2019)
DOI: 10.1016/j.amc.2018.11.014
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Design of multi-layer materials using inverse homogenization and a level set method

Grigor Nika and Andrei Constantinescu
Computer Methods in Applied Mechanics and Engineering 346 388 (2019)
DOI: 10.1016/j.cma.2018.11.029
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Topology optimization of shell-infill structures using a distance regularized parametric level-set method

Junjian Fu, Hao Li, Mi Xiao, Liang Gao and Sheng Chu
Structural and Multidisciplinary Optimization 59 (1) 249 (2019)
DOI: 10.1007/s00158-018-2064-6
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Topology optimization in acoustics and elasto-acoustics via a level-set method

J. Desai, A. Faure, G. Michailidis, G. Parry and R. Estevez
Journal of Sound and Vibration 420 73 (2018)
DOI: 10.1016/j.jsv.2018.01.032
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Design and testing of 3D-printed micro-architectured polymer materials exhibiting a negative Poisson’s ratio

Filippo Agnelli, Andrei Constantinescu and Grigor Nika
Continuum Mechanics and Thermodynamics 32 (2) 433 (2020)
DOI: 10.1007/s00161-019-00851-6
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Deposition path planning-integrated structural topology optimization for 3D additive manufacturing subject to self-support constraint

Jikai Liu and Albert C. To
Computer-Aided Design 91 27 (2017)
DOI: 10.1016/j.cad.2017.05.003
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Level set-based heterogeneous object modeling and optimization

Jikai Liu, Qian Chen, Yufan Zheng, et al.
Computer-Aided Design 110 50 (2019)
DOI: 10.1016/j.cad.2019.01.002
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Optimizing supports for additive manufacturing

Grégoire Allaire and Beniamin Bogosel
Structural and Multidisciplinary Optimization 58 (6) 2493 (2018)
DOI: 10.1007/s00158-018-2125-x
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Stacking sequence and shape optimization of laminated composite plates via a level-set method

G. Allaire and G. Delgado
Journal of the Mechanics and Physics of Solids 97 168 (2016)
DOI: 10.1016/j.jmps.2016.06.014
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Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model

Yaguang Wang and Zhan Kang
Computer Methods in Applied Mechanics and Engineering 347 340 (2019)
DOI: 10.1016/j.cma.2018.12.018
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Architectured Materials in Nature and Engineering

N. Vermaak, G. Michailidis, A. Faure, et al.
Springer Series in Materials Science, Architectured Materials in Nature and Engineering 282 173 (2019)
DOI: 10.1007/978-3-030-11942-3_6
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A consistent relaxation of optimal design problems for coupling shape and topological derivatives

Samuel Amstutz, Charles Dapogny and Àlex Ferrer
Numerische Mathematik 140 (1) 35 (2018)
DOI: 10.1007/s00211-018-0964-4
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Piecewise length scale control for topology optimization with an irregular design domain

Jikai Liu
Computer Methods in Applied Mechanics and Engineering 351 744 (2019)
DOI: 10.1016/j.cma.2019.04.014
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A projection‐based method for topology optimization of structures with graded surfaces

Yunfeng Luo, Quhao Li and Shutian Liu
International Journal for Numerical Methods in Engineering 118 (11) 654 (2019)
DOI: 10.1002/nme.6031
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Multi-material structural topology optimization considering material interfacial stress constraints

Pai Liu, Litao Shi and Zhan Kang
Computer Methods in Applied Mechanics and Engineering 363 112887 (2020)
DOI: 10.1016/j.cma.2020.112887
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Topology optimization of connections in mechanical systems

L. Rakotondrainibe, G. Allaire and P. Orval
Structural and Multidisciplinary Optimization 61 (6) 2253 (2020)
DOI: 10.1007/s00158-020-02511-9
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A survey of design methods for material extrusion polymer 3D printing

Jiaqi Huang, Qian Chen, Hao Jiang, et al.
Virtual and Physical Prototyping 15 (2) 148 (2020)
DOI: 10.1080/17452759.2019.1708027
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A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm

A.A. Romero Onco and S.M. Giusti
Computer Methods in Applied Mechanics and Engineering 366 113044 (2020)
DOI: 10.1016/j.cma.2020.113044
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Multi-material topology optimization of viscoelastically damped structures using a parametric level set method

Max van der Kolk, Gijs J van der Veen, Jan de Vreugd and Matthijs Langelaar
Journal of Vibration and Control 23 (15) 2430 (2017)
DOI: 10.1177/1077546315617333
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Topological design for mechanical metamaterials using a multiphase level set method

Yu Wang, Zhen Luo, Nong Zhang and Tao Wu
Structural and Multidisciplinary Optimization 54 (4) 937 (2016)
DOI: 10.1007/s00158-016-1458-6
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Introducing a level-set based shape and topology optimization method for the wear of composite materials with geometric constraints

F. Feppon, G. Michailidis, M. A. Sidebottom, et al.
Structural and Multidisciplinary Optimization 55 (2) 547 (2017)
DOI: 10.1007/s00158-016-1512-4
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Multi-Material Topology Optimization Using Neural Networks

Aaditya Chandrasekhar and Krishnan Suresh
Computer-Aided Design 103017 (2021)
DOI: 10.1016/j.cad.2021.103017
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