Publications

B. Bogosel, D. Bucur Polygonal Faber-Krahn inequality: Local minimality via validated computing, 2024
(submitted) (arxiv:2406.11575)
Abstract Bibtex Numerics
B. Bogosel, A reverse isoperimetric inequality for convex shapes with inclusion constraint , 2024
(accepted in Journal of Mathematical Analysis and Applications) (arxiv:2402.05648)
Abstract Bibtex
B. Bogosel, A. Henrot, M. Michetti, Optimization of Neumann eigenvalues under convexity and geometric constraints, 2024
(submitted) (arxiv:2402.04117)
Abstract Bibtex
S. Amstutz, B. Bogosel, Nonlocal approximation of the anisotropic perimeter and application to topology optimization, 2023
(submitted) (hal-04332547)
Abstract Bibtex
B. Bogosel, Mixed volumes and the Blaschke-Lebesgue theorem, 2023
(accepted in Acta Mathematica Hungarica) (hal-04306123)
Abstract Bibtex
B. Bogosel, Volume computation for Meissner polyhedra and applications, 2023
(submitted) (hal-04258055)
Abstract Bibtex
B. Bogosel, A geometric proof of the Blaschke-Lebesgue theorem for the Cheeger constant, 2023
(accepted in Annales de l'Institut Fourier) (hal-04045140)
Abstract Bibtex
B. Bogosel, D. Bucur, I. Fragala, The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz Inequalities, 2023
(accepted in Mathematische Annalen) (hal-04001501)
Abstract Bibtex
B. Bogosel, G. Buttazzo, E. Oudet, On the numerical approximation of Blaschke-Santalo diagrams using Centroidal Voronoi Tessellations, 2023
(to appear in ESAIM: Mathematical Modelling and Numerical Analysis) (hal-03966754)
Abstract Bibtex
G. Allaire, M. Bihr, B. Bogosel, M. Godoy, Accessibility constraints in structural optimization via distance functions, 2022
(accepted in Journal of Computational Physics) (hal-03864841)
Abstract Bibtex
Pedro R.S. Antunes, B. Bogosel, Optimization of the Steklov-Lamé eigenvalues with respect to the domain, 2022
(submitted) (hal-03676230) (arxiv:2205.11364)
Abstract Bibtex
B. Bogosel, D. Bucur, On the polygonal Faber-Krahn inequality, 2022
(accepted in Journal de l’École polytechnique — Mathématiques) (hal-03625471) (arxiv:2203.16409)
Abstract Bibtex Details
B. Bogosel Numerical shape optimization among convex sets, 2022
(accepted in Applied Mathematics and Optimization) (hal-03607776) (arxiv:2203.06981)
Abstract Bibtex
M. Godoy, G. Allaire, B. Bogosel Topology optimization of supports with imperfect bonding in additive manufacturing, 2021
(to appear in Structural and Multidisciplinary Optimization) (hal-03538224)
Abstract Bibtex
M. Bihr, G. Allaire, X Betbeder-Lauque, B. Bogosel, F. Bordeu, J. Querois Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation, 2021
(to appear in Computer Methods in Applied Mechanics and Engineering) (hal-03507990)
Abstract Bibtex
B. Bogosel, E. Oudet, Longest minimal length partitions, 2021
(to appear in Interfaces and Free Boundaries) (hal-03132237) (arxiv:2102.02891)
Abstract Numerics Bibtex
M. Godoy, G. Allaire, B. Bogosel, Shape optimization of an imperfect interface: steady-state heat diffusion, 2020
(to appear in Journal of Optimization Theory and Applications) (hal-03102760)
Abstract Numerics Bibtex
B. Bogosel, T. Giletti, A. Tellini, Propagation for KPP bulk-surface systems in a general cylindrical domain, 2020
(to appear in Nonlinear Analysis) (hal-02880034) (arxiv:2006.14224 )
Abstract Numerics Bibtex
A. Al Sayed, B. Bogosel, A. Henrot, F. Nacry, Maximization of the Steklov Eigenvalues with a Diameter Constraint
SIAM Journal on Mathematical Analysis, 53(1), 2021
Abstract Numerics Bibtex
G. Allaire, M. Bihr, B. Bogosel, Support optimization in additive manufacturing for geometric and thermo-mechanical constraints
Structural and Multidisciplinary Optimization, 61(6), 2020
Abstract Numerics Bibtex
P. Antunes, B. Bogosel, Parametric Shape Optimization using the Support Function
to appear in Computational Optimization and Applications, (arxiv:1809.00254)
Abstract Numerics Bibtex
B. Bogosel, V. Perrollaz, K. Raschel, A. Trotignon, 3D positive lattice walks and spherical triangles
Journal of Combinatorial Theory, Series A, 172, 2020
Abstract Numerics Bibtex
G. Allaire, B. Bogosel, Optimizing supports for additive manufacturing
Structural and Multidisciplinary Optimization, 58(6), 2018
Abstract Numerics Bibtex
B. Bogosel, A. Henrot, I. Lucardesi, Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint
SIAM Journal on Mathematical Analysis, 50(5), 2018
Abstract Numerics Bibtex
B. Bogosel, D. Bucur, I. Fragala, Phase field approach to optimal packing problems and related Cheeger clusters
Applied Mathematics and Optimization, 81(1), 2018
Abstract Numerics Bibtex
B. Bogosel, Efficient algorithm for optimizing spectral partitions
Applied Mathematics and Computation, 333, 2018
Abstract Numerics Bibtex
B. Bogosel, V. Bonnaillie-Noël, Minimal Partitions for p-norms of Eigenvalues
Interfaces and Free Boundaries, 20(1), 2018
Abstract Numerics Bibtex
B. Bogosel, Regularity result for a shape optimization problem under perimeter constraint
Communications in Analysis and Geometry, 27(7), 2019
Abstract Bibtex
B. Bogosel, E. Oudet, Partitions of Mimimal Length on Manifolds,
Experimental Mathematics, 26(4), 2016
Abstract Numerics Bibtex
B. Bogosel, D. Bucur, A. Giacomini, Optimal Shapes Maximizing the Steklov Eigenvalues,
SIAM Journal on Mathematical Analysis, 49(2), 2017 (Journal link)
Abstract Numerics Bibtex
B. Bogosel, The method of fundamental solutions applied to boundary eigenvalue problems,
Journal of Computational and Applied Mathematics, 306, 2016 (Journal link)
Abstract Numerics Bibtex
B. Bogosel, The Steklov spectrum on moving domains, 2015,
Applied Mathematics and Optimization, 75(1), 2015 (Journal link)
Abstract Bibtex
B. Bogosel, E. Oudet, Qualitative and Numerical Analysis of a Spectral Problem with Perimeter Constraint, 2014
SIAM Journal on Control and Optimization, 54(1), 2016 (Journal link)
Abstract Numerics Bibtex
B. Bogosel, B. Velichkov, A multiphase shape optimization problem for eigenvalues: qualitative study and numerical results
SIAM Journal on Numerical Analysis, 54(1), 2016 (Journal link)
Abstract Numerics Bibtex

Expository mathematics

B. Bogosel, A Geometric proof for the Polygonal Isoperimetric Inequality, 2023,
(to appear in The Mathematical Intelligencer) (hal-04273400)
Abstract Bibtex
B. Bogosel, A geometric proof of the Siebeck-Marden theorem, 2015,
(American Mathematical Monthly May 2017) (Journal link)
(for pdf file: Copyright 2017 Mathematical Association of America. All Rights Reserved.)
Abstract Bibtex
B. Bogosel, Functions with the Intermediate Value Property, 2012,
(Romanian Mathematical Gazette 2012) (Journal link)
Abstract

Proceedings, Chapters

B. Bogosel, Discrete version of an optimal partitioning problem
Difference equations, discrete dynamical systems and applications, 247-256, Springer, 2019
Abstract Bibtex
B. Bogosel, V. Bonnaillie-Noël, Optimal partitions for the sum and the maximum of eigenvalues, 2017
(Proceedings XIV-th International Conference Zaragoza-Pau 2016)
Abstract Numerics Bibtex

Preprints

B. Bogosel, Partitions minimizing an anisotropic length, (preprint)
Abstract Numerics
B. Bogosel, M. Foare, Numerical implementation in 1D and 2D of a shape optimization problem with Robin boundary conditions, 2017 (preprint)
Abstract Numerics

Miscellaneous

Translation of the paper: Some relations in the triangle by H. Hadwiger and Paul Finsler. The original paper written in German can be found here.
Details
A short note on a geometric proof of Sendov's theorem for cubic polynomials.

PHD Thesis

Shape optimization and spectral problems
(manuscript) (slides) Summary

Habilitation Thesis

Shape optimization: theoretical, numerical and practical aspects
(manuscript) (slides) Summary

Numerical computations (for details click on the pictures)



Posters

Talks


Created: Jun 2015