| Artigo em revista |
- Amstutz, Samuel; Bogosel, Beniamin. "Nonlocal approximation of the anisotropic perimeter and application to topology optimization".
ESAIM: Control, Optimisation and Calculus of Variations (2024): https://doi.org/10.1051/cocv/2024071.
Aceite para publicação • 10.1051/cocv/2024071
- Joubert, A.; Allaire, G.; Amstutz, S.; Diani, J.. "Damping optimization of viscoelastic thin structures, application and analysis".
Structural and Multidisciplinary Optimization 66 7 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85162027170&partnerID=MN8TOARS.
10.1007/s00158-023-03602-z
- Amstutz, S.; Van Goethem, N.. "A second-order model of small-strain incompatible elasticity". Mathematics and Mechanics
of Solids (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85174260579&partnerID=MN8TOARS.
10.1177/10812865231193427
- Novotny, A.A.; Giusti, S.M.; Amstutz, S.. "Guest editorial". Engineering Computations (Swansea, Wales) 39 1 (2022):
1-2. http://www.scopus.com/inward/record.url?eid=2-s2.0-85124370424&partnerID=MN8TOARS.
10.1108/EC-02-2022-759
- Amstutz, S.. "An introduction to the topological derivative". Engineering Computations (Swansea, Wales) 39 1 (2022):
3-33. http://www.scopus.com/inward/record.url?eid=2-s2.0-85115785202&partnerID=MN8TOARS.
10.1108/EC-07-2021-0433
- Amstutz, S.; Dapogny, C.; Ferrer, A.. "A consistent approximation of the total perimeter functional for topology optimization
algorithms". ESAIM - Control, Optimisation and Calculus of Variations 28 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85126046095&partnerID=MN8TOARS.
10.1051/cocv/2022005
- Joubert, A.; Allaire, G.; Amstutz, S.; Diani, J.. "Damping optimization of viscoelastic cantilever beams and plates under
free vibration". Computers and Structures 268 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85130314439&partnerID=MN8TOARS.
10.1016/j.compstruc.2022.106811
- Amstutz, S.; Gourion, D.; Zabiba, M.. "Variational approximation of interface energies and applications". Interfaces and
Free Boundaries 23 1 (2021): 59-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-85105366956&partnerID=MN8TOARS.
10.4171/ifb/450
- Amstutz, S.; van Goethem, N.. "Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity".
Discrete and Continuous Dynamical Systems - Series B 25 10 (2020): 3769-3805. http://www.scopus.com/inward/record.url?eid=2-s2.0-85091373171&partnerID=MN8TOARS.
10.3934/dcdsb.2020240
- Amstutz, S.; Gangl, P.. "Topological derivative for the nonlinear magnetostatic problem". Electronic Transactions on Numerical
Analysis 51 (2019): 169-218. http://www.scopus.com/inward/record.url?eid=2-s2.0-85071664651&partnerID=MN8TOARS.
10.1553/etna_vol51s169
- Amstutz, S.; Dapogny, C.; Ferrer, À.. "A consistent relaxation of optimal design problems for coupling shape and topological
derivatives". Numerische Mathematik 140 1 (2018): 35-94. http://www.scopus.com/inward/record.url?eid=2-s2.0-85044453235&partnerID=MN8TOARS.
10.1007/s00211-018-0964-4
- Amstutz, S.; Van Goethem, N.. "Incompatibility-governed elasto-plasticity for continua with dislocations". Proceedings
of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 2199 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85017587504&partnerID=MN8TOARS.
10.1098/rspa.2016.0734
- Amstutz, S.; Bonnafé, A.. "Topological derivatives for a class of quasilinear elliptic equations". Journal des Mathematiques
Pures et Appliquees 107 4 (2017): 367-408. http://www.scopus.com/inward/record.url?eid=2-s2.0-85014050247&partnerID=MN8TOARS.
10.1016/j.matpur.2015.11.015
- Gangl, P.; Amstutz, S.; Langer, U.. "Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics".
IEEE Transactions on Magnetics 52 3 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84962159696&partnerID=MN8TOARS.
10.1109/TMAG.2015.2496172
- Amstutz, S.; Ciligot-Travain, M.. "A notion of compliance robustness in topology optimization". ESAIM - Control, Optimisation
and Calculus of Variations 22 1 (2016): 64-87. http://www.scopus.com/inward/record.url?eid=2-s2.0-84959010304&partnerID=MN8TOARS.
10.1051/cocv/2014066
- Amstutz, S.; Van Goethem, N.. "Analysis of the incompatibility operator and application in intrinsic elasticity with dislocations".
SIAM Journal on Mathematical Analysis 48 1 (2016): 320-348. http://www.scopus.com/inward/record.url?eid=2-s2.0-84960155847&partnerID=MN8TOARS.
10.1137/15M1020113
- Amstutz, S.; Fehrenbach, J.. "Edge Detection Using Topological Gradients: A Scale-Space Approach". Journal of Mathematical
Imaging and Vision 52 2 (2015): 249-266. http://www.scopus.com/inward/record.url?eid=2-s2.0-84939946829&partnerID=MN8TOARS.
10.1007/s10851-015-0558-z
- Amstutz, S.; Novotny, A.A.; Van Goethem, N.. "Minimal partitions and image classification using a gradient-free perimeter
approximation". Inverse Problems and Imaging 8 2 (2014): 361-387. http://www.scopus.com/inward/record.url?eid=2-s2.0-84900444100&partnerID=MN8TOARS.
10.3934/ipi.2014.8.361
- Amstutz, S.; Novotny, A.A.; Van Goethem, N.. "Topological sensitivity analysis for elliptic differential operators of order
2m". Journal of Differential Equations 256 4 (2014): 1735-1770. http://www.scopus.com/inward/record.url?eid=2-s2.0-84890890135&partnerID=MN8TOARS.
10.1016/j.jde.2013.12.005
- Amstutz, S.. "Regularized perimeter for topology optimization". SIAM Journal on Control and Optimization 51 3 (2013):
2176-2199. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884844289&partnerID=MN8TOARS.
10.1137/100816997
- Amstutz, S.; Laurain, A.. "A semismooth Newton method for a class of semilinear optimal control problems with box and volume
constraints". Computational Optimization and Applications 56 2 (2013): 369-403. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884816902&partnerID=MN8TOARS.
10.1007/s10589-013-9555-6
- Amstutz, S.; Novotny, A.A.; De Souza Neto, E.A.. "Topological derivative-based topology optimization of structures subject
to Drucker-Prager stress constraints". Computer Methods in Applied Mechanics and Engineering 233-236 (2012): 123-136.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84861657288&partnerID=MN8TOARS.
10.1016/j.cma.2012.04.004
- Amstutz, S.; Van Goethem, N.. "Topology optimization methods with gradient-free perimeter approximation". Interfaces and
Free Boundaries 14 3 (2012): 401-430. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872483347&partnerID=MN8TOARS.
10.4171/IFB/286
- Amstutz, S.. "Analysis of a level set method for topology optimization". Optimization Methods and Software 26 4-5 (2011):
555-573. http://www.scopus.com/inward/record.url?eid=2-s2.0-80053286906&partnerID=MN8TOARS.
10.1080/10556788.2010.521557
- Amstutz, S.. "Augmented Lagrangian for cone constrained topology optimization". Computational Optimization and Applications
49 1 (2011): 101-122. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956140223&partnerID=MN8TOARS.
10.1007/s10589-009-9272-3
- Amstutz, S.. "Connections between topological sensitivity analysis and material interpolation schemes in topology optimization".
Structural and Multidisciplinary Optimization 43 6 (2011): 755-765. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958101338&partnerID=MN8TOARS.
10.1007/s00158-010-0607-6
- Amstutz, S.; Novotny, A.A.. "Topological asymptotic analysis of the Kirchhoff plate bending problem". ESAIM - Control,
Optimisation and Calculus of Variations 17 3 (2011): 705-721. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051981543&partnerID=MN8TOARS.
10.1051/cocv/2010010
- Amstutz, S.; Ciligot-Trava, M.. "Optimality conditions for shape and topology optimization subject to a cone constraint".
SIAM Journal on Control and Optimization 48 6 (2010): 4056-4077. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957319471&partnerID=MN8TOARS.
10.1137/080722874
- De Souza Neto, E.A.; Amstutz, S.; Giusti, S.M.; Novotny, A.A.. "Topological derivative-based optimization of micro-structures
considering different multi-scale models". CMES - Computer Modeling in Engineering and Sciences 62 1 (2010): 23-54.
http://www.scopus.com/inward/record.url?eid=2-s2.0-77957577819&partnerID=MN8TOARS.
- Amstutz, S.. "A penalty method for topology optimization subject to a pointwise state constraint". ESAIM - Control, Optimisation
and Calculus of Variations 16 3 (2010): 523-544. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954327953&partnerID=MN8TOARS.
10.1051/cocv/2009013
- Amstutz, S.; Novotny, A.A.. "Topological optimization of structures subject to Von Mises stress constraints". Structural
and Multidisciplinary Optimization 41 3 (2010): 407-420. http://www.scopus.com/inward/record.url?eid=2-s2.0-78649620337&partnerID=MN8TOARS.
10.1007/s00158-009-0425-x
- Amstutz, S.. "A semismooth Newton method for topology optimization". Nonlinear Analysis, Theory, Methods and Applications
73 6 (2010): 1585-1595. http://www.scopus.com/inward/record.url?eid=2-s2.0-77953960347&partnerID=MN8TOARS.
10.1016/j.na.2010.04.065
- Amstutz, S.; Giusti, S.M.; Novotny, A.A.; De Souza Neto, E.A.. "Topological derivative for multi-scale linear elasticity models
applied to the synthesis of microstructures". International Journal for Numerical Methods in Engineering 84 6 (2010):
733-756. http://www.scopus.com/inward/record.url?eid=2-s2.0-77958584718&partnerID=MN8TOARS.
10.1002/nme.2922
- Amstutz, S.; Takahashi, T.; Vexler, B.. "Topological sensitivity analysis for time-dependent problems". ESAIM - Control,
Optimisation and Calculus of Variations 14 3 (2008): 427-455. http://www.scopus.com/inward/record.url?eid=2-s2.0-46749084357&partnerID=MN8TOARS.
10.1051/cocv:2007059
- Amstutz, S.; Dominguez, N.. "Topological sensitivity analysis in the context of ultrasonic non-destructive testing". Engineering
Analysis with Boundary Elements 32 11 (2008): 936-947. http://www.scopus.com/inward/record.url?eid=2-s2.0-53249084474&partnerID=MN8TOARS.
10.1016/j.enganabound.2007.09.008
- Amstutz, S.; Andrä, H.. "A new algorithm for topology optimization using a level-set method". Journal of Computational
Physics 216 2 (2006): 573-588. http://www.scopus.com/inward/record.url?eid=2-s2.0-33646921203&partnerID=MN8TOARS.
10.1016/j.jcp.2005.12.015
- Amstutz, S.. "Sensitivity analysis with respect to a local perturbation of the material property". Asymptotic Analysis
49 1-2 (2006): 87-108. http://www.scopus.com/inward/record.url?eid=2-s2.0-33748482208&partnerID=MN8TOARS.
- Andrhä, H.; Amstutz, S.; Matei, I.; Teichmann, E.. "A new algorithm for three-dimensional topology optimisation in structural
mechanics using a level-set method". Civil-Comp Proceedings 83 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-84893931952&partnerID=MN8TOARS.
- Amstutz, S.. "Topological sensitivity analysis for some nonlinear PDE systems". Journal des Mathematiques Pures et Appliquees
85 4 (2006): 540-557. http://www.scopus.com/inward/record.url?eid=2-s2.0-33644932758&partnerID=MN8TOARS.
10.1016/j.matpur.2005.10.008
- Amstutz, S.; Horchani, I.; Masmoudi, M.. "Crack detection by the topological gradient method". Control and Cybernetics
34 1 (2005): 81-101. http://www.scopus.com/inward/record.url?eid=2-s2.0-25844433396&partnerID=MN8TOARS.
- Amstutz, S.. "The topological asymptotic for the navier-stokes equations". ESAIM - Control, Optimisation and Calculus of
Variations 11 3 (2005): 401-425. http://www.scopus.com/inward/record.url?eid=2-s2.0-30944440921&partnerID=MN8TOARS.
10.1051/cocv:2005012
- Samet, B.; Amstutz, S.; Masmoudi, M.. "The topological asymptotic for the Helmholtz equation". SIAM Journal on Control
and Optimization 42 5 (2003): 1523-1544. http://www.scopus.com/inward/record.url?eid=2-s2.0-4944259639&partnerID=MN8TOARS.
10.1137/S0363012902406801
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