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A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media
Harald Garcke, Sourav Mitra and Vanja Nikolić SIAM Journal on Control and Optimization 60(4) 2297 (2022) https://doi.org/10.1137/21M1449294
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach
Andrea Aspri, Elena Beretta, Cecilia Cavaterra, Elisabetta Rocca and Marco Verani Applied Mathematics & Optimization 86(3) (2022) https://doi.org/10.1007/s00245-022-09897-6
Fireshape: a shape optimization toolbox for Firedrake
Adaptive topology optimization under suitably graded THB‐spline refinement and coarsening
Xianda Xie, Aodi Yang, Ning Jiang, Wei Zhao, Zhaoshun Liang and Shuting Wang International Journal for Numerical Methods in Engineering 122(20) 5971 (2021) https://doi.org/10.1002/nme.6780
Mixed variational formulations for structural topology optimization based on the phase-field approach
Michele Marino, Ferdinando Auricchio, Alessandro Reali, Elisabetta Rocca and Ulisse Stefanelli Structural and Multidisciplinary Optimization 64(4) 2627 (2021) https://doi.org/10.1007/s00158-021-03017-8
A phase-field-based graded-material topology optimization with stress constraint
Ferdinando Auricchio, Elena Bonetti, Massimo Carraturo, Dietmar Hömberg, Alessandro Reali and Elisabetta Rocca Mathematical Models and Methods in Applied Sciences 30(08) 1461 (2020) https://doi.org/10.1142/S0218202520500281
Optimal structural pattern for maximal compliance using topology optimization based on phasefields: Application to improve skin graft meshing efficiency
Danas Sutula, Petr Henyš and Lukáš Čapek International Journal for Numerical Methods in Biomedical Engineering 36(12) (2020) https://doi.org/10.1002/cnm.3405
Graded-material design based on phase-field and topology optimization
Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering
Patrick Dondl, Patrina S. P. Poh, Martin Rumpf and Stefan Simon Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475(2227) 20180718 (2019) https://doi.org/10.1098/rspa.2018.0718
Optimization of a Multiphysics Problem in Semiconductor Laser Design
Lukáš Adam, Michael Hintermüller, Dirk Peschka and Thomas M. Surowiec SIAM Journal on Applied Mathematics 79(1) 257 (2019) https://doi.org/10.1137/18M1179183
A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
Martin Eigel, Johannes Neumann, Reinhold Schneider and Sebastian Wolf Computer Methods in Applied Mechanics and Engineering 334 470 (2018) https://doi.org/10.1016/j.cma.2018.02.003
Advances in Structural and Multidisciplinary Optimization
Grégoire Allaire, François Jouve and Georgios Michailidis Springer Optimization and Its Applications, Variational Analysis and Aerospace Engineering 116 1 (2016) https://doi.org/10.1007/978-3-319-45680-5_1
Sharp Interface Limit for a Phase Field Model in Structural Optimization
Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids
Harald Garcke, Claudia Hecht, Michael Hinze and Christian Kahle SIAM Journal on Scientific Computing 37(4) A1846 (2015) https://doi.org/10.1137/140969269
Trends in PDE Constrained Optimization
Luise Blank, M. Hassan Farshbaf-Shaker, Harald Garcke, Christoph Rupprecht and Vanessa Styles International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 231 (2014) https://doi.org/10.1007/978-3-319-05083-6_15