Beniamin BOGOSEL
Assistant Professor
Centre de Mathématiques Appliquées
Ecole Polytechnique
UMR CNRS 7641
91128 Palaiseau, France
Contact
Office: 00 20 13, 1st Floor, CMAP
email: beniamin.bogosel_at_cmap.polytechnique.fr
phone: 01 69 33 46 10
Curriculum Vitae: English (last updated March 2023)
Research Interests:
- Calculus of variations, shape optimization
- Optimal design for additive manufacturing constraints
- Numerical shape optimization: $\Gamma$-convergence methods, relaxation, Level Set method
- Shape optimization for eigenvalue problems: Dirichlet Laplace eigenvalues, Steklov/Wentzell Eigenvalues
- Optimal partitioning problems, multiphase problems
- Meshless methods: fundamental solutions
Teaching:
- Numerical approximation and Optimization
- Shape optimization
- Some course materials available on the following: Teaching page
Recent and Upcoming talks
- ANR Shapo meeting - Autrans, near Grenoble, France, April 2022
- Institut Polytechnique de Paris, Optimization Meeting, April 2022
- Spectral Geometry in the Clouds - 9 May 2022
- SFB seminar, University of Bonn, Germany, May 2022
- Conference Shape Optimization, related topics and applications, Roscoff, France, June 2022
- Minisymposium "Geometric Variational Problems and Their Applications" as part of the Hybrid 2022 SIAM Annual Meeting (AN22), July 11-15
- International conference on difference equations and applications, July 18-22, 2022
- ANR Quamprocs Meeting Bordeaux, October 2022
- NANMAT 2022, Tiberiu Popoviciu Institute of Numerical Analysis (Romanian Academy), (online)
- GdT Calcul de Variations, Paris, October 2022
- Maths en herbe, Institut des Hautes Études Scientifiques, Université Paris-Saclay, 2023
- ANR Shapo Meeting, April 2023
- PGMO Days, November 2023
- NANMAT 2023, Tiberiu Popoviciu Institute of Numerical Analysis (Romanian Academy), (online)
Recent results and ongoing work
New preprint: Volume computation for Meissner polyhedra and applications, 2023
(submitted) (hal-04258055)
Abstract
(submitted) (hal-04258055)
Abstract
New preprint: On the Blaschke-Lebesgue theorem for the Cheeger constant via areas and perimeters of inner parallel sets, 2023
(submitted) (hal-04045140)
Abstract
(submitted) (hal-04045140)
Abstract
New preprint: in collaboration with D. Bucur and I. Fragala, The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities, 2023
(accepted in Mathematische Annalen) (hal-04001501)
Abstract
(accepted in Mathematische Annalen) (hal-04001501)
Abstract
New preprint: in collaboration with G. Buttazzo and E. Oudet, On the numerical approximation of Blaschke-Santalo diagrams using Centroidal Voronoi Tessellations, 2023
(submitted) (hal-03966754)
Abstract
(submitted) (hal-03966754)
Abstract
New preprint: in collaboration with G. Allaire, M. Bihr and M. Godoy, Accessibility constraints in structural optimization via distance
functions, 2022
(accepted in Journal of Computational Physics)
Abstract
(accepted in Journal of Computational Physics)
Abstract