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Reconstruction of Voronoi diagrams in inverse potential problems
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Bounds on the Optimal Radius When Covering a Set with Minimum Radius Identical Disks
Stress-based topological shape optimization for thick shells using the level set method and trimmed non-conforming multi-patch isogeometric analysis
Fernando Hübner Scherer, Malek Zarroug, Hakim Naceur and Andrei Constantinescu Structural and Multidisciplinary Optimization 67(10) (2024) https://doi.org/10.1007/s00158-024-03892-x
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions
On second-order tensor representation of derivatives in shape optimization
Antoine Laurain and Pedro T. P. Lopes Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 382(2277) (2024) https://doi.org/10.1098/rsta.2023.0300
Shape optimization for interface identification in nonlocal models
An abstract Lagrangian framework for computing shape derivatives
Antoine Laurain, Pedro T.P. Lopes and Jean C. Nakasato ESAIM: Control, Optimisation and Calculus of Variations 29 5 (2023) https://doi.org/10.1051/cocv/2022078
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
Caroline Geiersbach, Estefania Loayza-Romero and Kathrin Welker Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 1585 (2023) https://doi.org/10.1007/978-3-030-98661-2_120
Shape Optimization of the Stokes Eigenvalue Problem
Robust Level-Set-Based Topology Optimization Under Uncertainties Using Anchored ANOVA Petrov–Galerkin Method
Christophe Audouze, Aaron Klein, Adrian Butscher, Nigel Morris, Prasanth Nair and Masayuki Yano SIAM/ASA Journal on Uncertainty Quantification 11(3) 877 (2023) https://doi.org/10.1137/22M1524722
Computational Design of Flexible Planar Microstructures
Zhan Zhang, Christopher Brandt, Jean Jouve, Yue Wang, Tian Chen, Mark Pauly and Julian Panetta ACM Transactions on Graphics 42(6) 1 (2023) https://doi.org/10.1145/3618396
Numerical Reconstruction of a Discontinuous Diffusive Coefficient in Variable-Order Time-Fractional Subdiffusion
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
Caroline Geiersbach, Estefania Loayza-Romero and Kathrin Welker Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 1 (2022) https://doi.org/10.1007/978-3-030-03009-4_120-1
The strip method for shape derivatives
Sean Hardesty, Harbir Antil, Drew P. Kouri and Denis Ridzal International Journal for Numerical Methods in Engineering 123(7) 1606 (2022) https://doi.org/10.1002/nme.6908
Shape optimization in acoustic–structure interaction
A Shape-Newton Approach to the Problem of Covering with Identical Balls
Ernesto G. Birgin, Antoine Laurain, Rafael Massambone and Arthur G. Santana SIAM Journal on Scientific Computing 44(2) A798 (2022) https://doi.org/10.1137/21M1426067
Modeling, Simulation and Optimization in the Health- and Energy-Sector
Nicolas Dietrich, Thomas Marx and René Pinnau SEMA SIMAI Springer Series, Modeling, Simulation and Optimization in the Health- and Energy-Sector 14 105 (2022) https://doi.org/10.1007/978-3-030-99983-4_6
Non-Smooth and Complementarity-Based Distributed Parameter Systems
Volker H. Schulz and Kathrin Welker International Series of Numerical Mathematics, Non-Smooth and Complementarity-Based Distributed Parameter Systems 172 397 (2022) https://doi.org/10.1007/978-3-030-79393-7_16
A level set method for Laplacian eigenvalue optimization subject to geometric constraints
Modeling, Simulation and Optimization in the Health- and Energy-Sector
Thomas Marx, Nicolas Dietrich and René Pinnau SEMA SIMAI Springer Series, Modeling, Simulation and Optimization in the Health- and Energy-Sector 14 85 (2022) https://doi.org/10.1007/978-3-030-99983-4_5
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements
Andrea Aspri, Elena Beretta, Elisa Francini and Sergio Vessella SIAM Journal on Mathematical Analysis 54(5) 5182 (2022) https://doi.org/10.1137/22M1480550
A priori error analysis of shape derivatives of linear functionals in structural topology optimization
Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map
Elena Beretta, Elisa Francini and Sergio Vessella SIAM Journal on Mathematical Analysis 53(4) 4303 (2021) https://doi.org/10.1137/20M1369609
Mathematical Modeling, Simulation and Optimization for Power Engineering and Management
Christian Leithäuser and René Pinnau Mathematics in Industry, Mathematical Modeling, Simulation and Optimization for Power Engineering and Management 34 123 (2021) https://doi.org/10.1007/978-3-030-62732-4_6
Level Set--Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion
Yuri F. Albuquerque, Antoine Laurain and Irwin Yousept SIAM Journal on Applied Mathematics 81(3) 939 (2021) https://doi.org/10.1137/20M1378090
On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
First and Second Order Shape Optimization Based on Restricted Mesh Deformations
Tommy Etling, Roland Herzog, Estefanía Loayza and Gerd Wachsmuth SIAM Journal on Scientific Computing 42(2) A1200 (2020) https://doi.org/10.1137/19M1241465
Gradient based biobjective shape optimization to improve reliability and cost of ceramic components
The Shifted Interface Method: A flexible approach to embedded interface computations
Kangan Li, Nabil M. Atallah, G. Alex Main and Guglielmo Scovazzi International Journal for Numerical Methods in Engineering 121(3) 492 (2020) https://doi.org/10.1002/nme.6231
On accuracy of approximate boundary and distributed H1 shape gradient flows for eigenvalue optimization
An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations
Two-Dimensional Shape Optimization with Nearly Conformal Transformations
José A. Iglesias, Kevin Sturm and Florian Wechsung SIAM Journal on Scientific Computing 40(6) A3807 (2018) https://doi.org/10.1137/17M1152711
Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators
Matteo Giacomini, Olivier Pantz and Karim Trabelsi ESAIM: Control, Optimisation and Calculus of Variations 23(3) 977 (2017) https://doi.org/10.1051/cocv/2016021
A cut finite element method for the Bernoulli free boundary value problem
Erik Burman, Daniel Elfverson, Peter Hansbo, Mats G. Larson and Karl Larsson Computer Methods in Applied Mechanics and Engineering 317 598 (2017) https://doi.org/10.1016/j.cma.2016.12.021
Fréchet Differentiability of Unsteady Incompressible Navier--Stokes Flow with Respect to Domain Variations of Low Regularity by Using a General Analytical Framework
Michael Fischer, Florian Lindemann, Michael Ulbrich and Stefan Ulbrich SIAM Journal on Control and Optimization 55(5) 3226 (2017) https://doi.org/10.1137/16M1089563
Shape Optimization with Nonsmooth Cost Functions: From Theory to Numerics