New perspective on Shape and Topology Optimization

Over the past decade, the optimal design of materials and structures has been the subject of a tremendous interest for the scientific community, spanning from mathematicians to physicists, engineers, and materials scientists. Whether one is thinking about applications to physics, energy conversion, in which so-called metamaterials play a crucial role, or to other fields such as medicine and mechatronics, new construction processes (3d-printing) and new applications to other scientific fields. These numerous applications have called for the development of innovative mathematical techniques and methodologies, designed to make such novel materials and technologies amenable to a rigorous mathematical modeling.

By their very nature, these queries require two different types of mathematical efforts. The first one is in the direction of the variational formulation of mechanical processes, with a specific focus on metamaterials, in order to derive suitable, reliable mathematical descriptions. The second one concerns the shape and topology optimization of materials, so as to tailor the manifacturing of the objects at hand in such a way that some desired material properties (e.g., compliance) are enhanced.

The goal of this workshop is to bridge these two perspectives by bringing together active members of both the community of Calculus of Variations and that of Shape and Topology Optimization.

This workshop is organized and financed by the ESI. 

Dec. 11, 2023
09:45 — 10:15
Registration &Welcome
10:15 — 11:00
11:00 — 11:30
Coffee break
11:30 — 12:15
13:00 — 14:15
Lunch break
14:15 — 15:00
15:00 — 15:30
Coffee Break
15:30 — 16:15
Dec. 12, 2023
10:30 — 11:00
Coffee break
11:00 — 11:45
Giuseppe Tomassetti (U Roma Tre)
Shape programming of a magnetic elastica
11:45 — 12:30
12:30 — 13:45
Lunch break
14:30 — 15:00
Coffee break
15:00 — 15:45
Marc Dambrine (University of Pau)
Towards robustness in shape optimization
Dec. 13, 2023
09:45 — 10:30
10:30 — 11:00
Coffee break
11:00 — 11:45
12:30 — 13:45
Lunch break
13:45 — 14:30
14:30 — 15:00
Coffee Break
15:00 — 15:45
18:00 — 22:00
Conference Dinner
Dec. 14, 2023
09:45 — 10:30
10:30 — 11:00
Coffee break
12:30 — 13:45
Lunch break
13:45 — 14:30
Kathrin Welker (Technische Universität Bergakademie Freiberg)
Optimization of piecewise-smooth shapes
14:30 — 15:00
Coffee break
15:00 — 15:45
Raphael Prunier (CEREMADE, Paris)
Stability in shape optimization with regularity theory
Dec. 15, 2023
10:15 — 10:45
Coffee break
10:45 — 11:30
Nicolas Van Goethem (Universidad de Lisboa)
Some fracture evolution problems by topological sensitivty analysis
11:30 — 11:45
Concluding remarks

Organizers

Name Affiliation
Elisa Davoli Technical University of Vienna
Idriss Mazari-Fouquer CEREMADE University Paris Dauphine
Kevin Sturm Technical University of Vienna

Attendees

Name Affiliation
Stefano Almi University Federico II of Napoli
Samuel Amstutz Avignon University
Annika Bach Technical University Eindhoven
Phillip Baumann Technical University of Vienna
Elvise Berchio Politecnico di Torino
Giacomo Bertazzoni University of Modena and Reggio Emilia
Elise Bonhomme University Paris Sud
Stefano Buccheri University of Vienna
Davide Buoso University of Eastern Piedmont Amedeo Avogadro
Giuseppe Buttazzo University of Pisa
Alessio Cesarano Radon Institute, RICAM
Théodore Cherrière Radon Institute, RICAM
Andrea Chiesa University of Vienna
Marc Dambrine Université de Pau et des Pays de l'Adour
Charles Dapogny Université Grenoble Alpes
Lorenza D'Elia Technical University of Vienna
Jakob Deutsch Technical University of Vienna
Raphael Fernandes University of Leicester
Matteo Fornoni University of Pavia
Peter Gangl Johann Radon Institute for Computational and Applied Mathematics
Chiara Gavioli Technical University of Vienna
Rossella Giorgio Technical University of Vienna
Leon Happ Technical University of Vienna
Flaviana Iurlano Università di Genova
Shokhrukh Kholmatov University of Vienna
Anna Kubin Technical University of Vienna
Antoine Laurain University Duisburg-Essen
Ilaria Lucardesi University of Pisa
Anastasia Molchanova University of Vienna
Katerina Nik University of Vienna
Antonio André Novotny National Laboratory for Scientific Computing
Raphael Prunier CEREMADE University Paris Dauphine
Dario Reggiani Scuola Normale Meridionale
Samuele Riccò Technical University of Vienna
Chiara Rigoni University of Vienna
Rémi Robin MINES ParisTech
Fabian Rupp University of Vienna
Manuel Seitz University of Vienna
Ulisse Stefanelli University of Vienna
Emanuele Tasso Technical University of Vienna
Farzad Tatar University of Parma
Giuseppe Tomassetti University Roma Tre
Cristina Trombetti University Federico II of Napoli
Maximilian Urmann Universität Regensburg
Nicolas Van Goethem Universidad de Lisboa
Riccardo Voso University of Vienna
Kathrin Welker Technische Universität Bergakademie Freiberg
Huidong Yang University of Vienna
Elvira Zappale La Sapienza University of Rome
Caterina Zeppieri Westfälische Wilhelms-Universität Münster
Preview of Cristina Trombetti - On the Rearrangement of a function  and its applications
Cristina Trombetti (U Napoli): On the Rearrangement of a function  and its applications
Dec. 11, 2023 10:15 — 11:00
Preview of Giuseppe Buttazzo - Antagonistic cost functionals in shape optimization.
Giuseppe Buttazzo (U Pisa): Antagonistic cost functionals in shape optimization.
Dec. 11, 2023 11:30 — 12:15
Preview of Elvise Berchio - Some optimization problems in mathematical models for suspension bridges
Elvise Berchio (Politecnico, Torino): Some optimization problems in mathematical models for suspension bridges
Dec. 11, 2023 12:15 — 13:00
Preview of Raphael Fernandes - Level set shape optimisation on aggregated polytopic meshes
Raphael Fernandes (U Leicester): Level set shape optimisation on aggregated polytopic meshes
Dec. 11, 2023 14:15 — 15:00
Preview of Antoine Laurain - Sensitivity analysis and tailored design of minimization diagrams
Antoine Laurain (University Duisburg-Essen): Sensitivity analysis and tailored design of minimization diagrams
Dec. 11, 2023 15:30 — 16:15
Preview of Ilaria Lucardesi - On Blaschke-Santaló diagrams in shape optimization
Ilaria Lucardesi (U Pisa): On Blaschke-Santaló diagrams in shape optimization
Dec. 13, 2023 09:45 — 10:30
Preview of Davide Buoso - Inequalities and asymptotics for polyharmonic eigenvalues
Davide Buoso (UEP, Amedeo Avogadro): Inequalities and asymptotics for polyharmonic eigenvalues
Dec. 13, 2023 13:45 — 14:30
At a glance
Type:
Workshop
When:
Dec. 11, 2023 — Dec. 15, 2023
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Elisa Davoli (TU Vienna)
Idriss Mazari-Fouquer (CEREMADE, Paris)
Kevin Sturm (TU Vienna)