*Space-time shape optimization of rotating electric machines*A. Cesarano, C. Dapogny and P. Gangl, submitted, (2024).*(summary)**Body-fitted tracking within a surface via a level set based mesh evolution method*C. Brito-Pacheco and C. Dapogny, submitted, (2023).*(summary)**Optimisation de formes*C. Dapogny, (in French), La Gazette des Mathématiciens, (2023).*(summary)**Shape optimization using a level set based mesh evolution method: an overview and tutorial*C. Dapogny and F. Feppon, to appear in C. R. Acad. Sci. Paris, (2023).*(summary)*
See also the companion open-source implementation.
*Entropy-regularized Wasserstein distributionally robust shape and topology optimization*C. Dapogny, F. Iutzeler, A. Meda and B. Thibert, Struct. Multidisc. Optim., 66, (2023), 42.*(summary)**Tetrahedral remeshing in the context of large-scale numerical simulation and high performance computing*G. Balarac, F. Basile, P. Bénard, F. Bordeu, J.-B. Chapelier, L. Cirrottola, G. Caumon, C. Dapogny, P. Frey, A. Froehly, G. Ghigliotti, R. Laraufie, G. Lartigue, C. Legentil, R. Mercier, V. Moureau, C. Nardoni, S. Pertant and M. Zakari, Maths in Action, 11, (2022), pp. 129–164.*(summary)**A consistent approximation of the total perimeter functional for topology optimization algorithms*S. Amstutz, C. Dapogny and A. Ferrer, ESAIM: Control, Optimization and Calculus of Variations, 28, (2022), 18.*(summary)**Small perturbations in the type of boundary conditions for an elliptic operator*E. Bonnetier, C. Dapogny and M.S. Vogelius, Journal de Mathématiques Pures et Appliquées, 167 (2022), pp. 101--174.*(summary)**Shape and topology optimization for Maximum Probability Domains in Quantum Chemistry*B. Braida, J. Dalphin, C. Dapogny, P. Frey and Y. Privat, Numer. Math., (2022), pp. 1--48.*(summary)**Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers*F. Feppon, G. Allaire, C. Dapogny and P. Jolivet, Comput. Meths. Appl. Mech. Engrg., 376, 113638, (2021).*(summary)**The topological ligament in shape optimization: a connection with thin tubular inhomogeneities*C. Dapogny, SMAI-Journal of computational mathematics, 7 (2021), pp.~185--266, (2021).*A connection between topological ligaments in shape optimization and thin tubular inhomogeneities*C. Dapogny, C. R. Acad. Sci. Paris, 358, no. 2, (2020), pp. 119--127.*(summary)**Topology optimization of thermal fluid--structure systems using body-fitted meshes and parallel computing*F. Feppon, G. Allaire, C. Dapogny and P. Jolivet, J. Comput. Phys., 417, 109574, (2020).*(summary)**Shape and topology optimization*G. Allaire, C. Dapogny and F. Jouve, in Geometric partial differential equations, part II, A. Bonito and R. Nochetto eds., Handbook of Numerical Analysis, vol. 22, (2021), pp.1-132.*(summary)**Optimization of the shape of regions supporting boundary conditions*C. Dapogny, N. Lebbe and E. Oudet, Numer. Math., 146, (2020), pp. 51--104.*(summary)**Null space gradient flows for constrained optimization with applications to shape optimization*F. Feppon, G. Allaire and C. Dapogny, ESAIM: Control, Optimization and Calculus of Variations, 26, (2020).*(summary)**A variational formulation for computing shape derivatives of geometric constraints along rays*F. Feppon, G. Allaire and C. Dapogny, ESAIM: Mathematical Modelling and Numerical Analysis, 54, (2020), pp. 181–-228.*(summary)**Robust shape and topology optimization of nanophotonic devices using the level set method*N. Lebbe, C. Dapogny, E. Oudet, K. Hassan and A. Gliere, J. Comput. Phys., 395, (2019), pp. 710--746

*Shape Optimization for the Design of Passive Mid-Infrared Photonic Components*N. Lebbe, A. Gliere, K. Hassan, C. Dapogny and E. Oudet, Optical and Quantum Electronics, 51, Article number: 166, (2019).*(summary)**Structural optimization under internal porosity constraints using topological derivatives*J. Martínez-Frutos, G. Allaire, C. Dapogny and F. Periago, Comput. Meths. Appl. Mech. Engrg., 345, (2019), pp. 1--25.*(summary)**The plasmonic resonances of a bowtie antenna*E. Bonnetier, C. Dapogny, F. Triki and H. Zhang, Anal. Theory Appl., 35, (2019), pp. 85-116*(summary)**Shape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution framework*F. Feppon, G. Allaire, F. Bordeu, J. Cortial and C. Dapogny, SeMA J., 76, 3, (2019), pp. 413--458*(summary)**Shape and topology optimization considering anisotropic features induced by additive manufacturing processes*C. Dapogny, R. Estevez, A. Faure and G. Michailidis, Comput. Meths. Appl. Mech. Engrg., 344, (2019), pp. 626--665*(summary)**Structural optimization under overhang constraints imposed by additive manufacturing technologies*G. Allaire, C. Dapogny, R. Estevez, A. Faure and G. Michailidis, J. Comput. Phys., 351, (2017), pp. 295-328*(summary)**Geometrical shape optimization in Fluid Mechanics using FreeFem++*C. Dapogny, P. Frey, F. Omnès and Y. Privat, Struct. Multidisc. Optim., 58, no. 6, (2018), pp. 2761--2788*(summary)**Homogenization of the eigenvalues of the Neumann-Poincaré operator*E. Bonnetier, C. Dapogny and F. Triki, Arch. Ration. Mech. Anal., 234, (2019), pp. 777–855*(summary)*See also the Erratum*A consistent relaxation of optimal design problems for coupling shape and topological derivatives*S. Amstutz, C. Dapogny and A. Ferrer, Numer. Math., 140 (1), (2018), pp. 35--94*(summary)**Shape optimization of a layer by layer mechanical constraint for additive manufacturing*G. Allaire, C. Dapogny, A. Faure and G. Michailidis, C. R. Acad. Sci. Paris, Ser. I, 355 (2017), pp. 699-717.*(summary)**Geometric constraints for shape and topology optimization in architectural design*C. Dapogny, A. Faure, G. Michailidis, G. Allaire, A. Couvelas and R. Estevez, Comput. Mech., 59, (2017), pp. 933--965.*(summary)**An optimization method for elastic shape matching*M. de Buhan, C. Dapogny, C. Nardoni and P. Frey, C. R. Acad. Sci. Paris, Ser. I, 354, (2016), pp. 783--787.*(summary)**Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity*C. Dapogny and M.S. Vogelius, Chin. Ann. Math. Ser. B, 38, 1, (special issue in the honor of H. Brezis), (2017), pp. 293--344.*(summary)**A deterministic approximation method in shape optimization under random uncertainties*G. Allaire and C. Dapogny, SMAI-Journal of computational mathematics, 1 (2015), pp.~83--143, (see also the supplementary material)*(summary)**Shape optimization for quadratic functionals and states with random right-hand sides*M. Dambrine, C. Dapogny and H. Harbrecht, SIAM J. Control Optim., 53(5), (2015), pp.~3081--3103*(summary)**Shape optimization with a level set based mesh evolution method*G. Allaire, C. Dapogny and P. Frey, Comput. Meths. Appl. Mech. Engrg., 282, (2014), pp.~22--53.*(summary)**A linearized approach to worst-case design in parametric and geometric shape optimization*G. Allaire and C. Dapogny, Math. Models Methods Appl. Sci., 24, (2014), pp. 2199--2257*(summary)**Multi-phase structural optimization via a level set method*G. Allaire, C. Dapogny, G. Delgado and G. Michailidis, ESAIM: Control, Optimization and Calculus of Variations, 20, (2014), pp.576-611*(summary)**Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems*Ch. Dapogny, C. Dobrzynski and P. Frey, J. Comput. Phys, 262, (2014), pp. 358--378*(summary)*-
*A mesh evolution algorithm based on the level set method for geometry and topology optimization*G. Allaire, Ch. Dapogny and P. Frey, Struct. Multidisc. Optim., 48, 4, (2013), pp.711-715. *Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh*G. Allaire, Ch. Dapogny and P. Frey, C. R. Acad. Sci. Paris, Série I, 349, pp.999-1003 (2011)*(summary)*-
*An accurate anisotropic adaptation method for solving the level set advection equation*C. Bui, Ch. Dapogny and P. Frey, Int. J. Numer. Meth. Fluids, Volume 70, Issue 7, pp. 899-922 (2012)*(summary)* -
*Computation of the signed distance function to a discrete contour on adapted triangulation*Ch. Dapogny and P. Frey, Calcolo, Volume 49, Issue 3, pp. 193-219 (2012)*(summary)*

Independently, we also study two problems related to modeling in structural optimization.

- Final high-quality version of the manuscript, with high-resolution pictures (~ 100 Mo),
- Final low-quality version of the manuscript, where pictures have been degraded on purpose (~ 9 Mo),
- Slides of the defence (~ 50 Mo).

- Journées EDP de l'IECL Nancy, France, March 27th, 2024.
- New perspective on Shape and Topology Optimization Erwin Schrodinger Institute, Vienna, Austria, December 13th, 2023. Slides of the talk
- ICIAM 2023 (10th International Congress on Industrial and Applied Mathematics) Tokyo, Japan, August 25th, 2023.
- WCSMO 15 (15th World Congress on Structural and Multidisciplinary Optimization) Cork, Ireland, June 5th, 2023. Slides of the talk
- Math2Product (M2P) Taormina, Italy, May 30th and June 1st, 2023.
- Adaptive Moving and Anisotropic Meshes for the Numerical Approximation of PDEs Edinburg, Scotland, May 10th, 2022.
- SIAM PDE 2022 Berlin, Germany (online), March 14th, 2022.
- 5th Extreme CFD workshop Caen, France, January 27th, 2022. Slides of the talk
- Workshop: Spectral problems, inverse problems and more Grenoble, France, October 22nd, 2021. Slides of the talk
- IFIP TC7 2021 (Conference on system modelling and optimization) Quito, Ecuador (Online), September 3rd, 2021.
- XIX Jacques-Louis Lions Spanish-French School on Numerical Simulation in Physics and Engineering Madrid, Spain, August 31st, 2021.
- WCSMO 14 (14th World Congress on Structural and Multidisciplinary Optimization) Boulder, Colorado (Online), June 17th, 2021. Slides of the talk
- International Conference on Partial Differential Equations Related to Material Science Beijing (Online), May 7th, 2021. Slides of the talk -- Video of the talk
- SIAM Conference on Computational Science and Engineering Online, March 2nd, 2021.
- INdAM Workshop -- Mathematical Methods for Objects Reconstruction: from 3D Vision to 3D Printing Online, February 11th, 2021. Video of the talk
- French Latin-American Conference on New Trends in Applied Mathematics Santiago, Chile, November 6th, 2019.
- Dynamics, Equations and Applications Krakow, Poland, September 17th, 2019.
- 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019) Valencia, Spain, July 16 and 17th, 2019.
- Workshop: New trends and challenges in the mathematics of optimal design Cambridge University, UK, June 13th, 2019.
- WCSMO 13 (13th World Congress on Structural and Multidisciplinary Optimization) Beijing, China, May 20th , 2019.
- Rencontres Normandes sur les aspects théoriques et numériques des EDP Rouen, November 8th, 2018.
- 14th Viennese Conference on Optimal Control and Dynamic Games Vienna, July 6th, 2018.
- International workshop on PDEs: analysis and modelling Zagreb, June 17th, 2018.
- Reconstruction Methods for Inverse Problems Roma, June 1st, 2018. Slides of the talk
- International Workshop: The Neumann-Poincaré Operator, Plasmonics, and Field Concentrations Jeju-do, February 8th, 2018. Slides of the talk
- SIM-AM 2017 Munich, October 23th, 2017. Slides of the talk
- Contrôle, Problèmes inverses et Applications Clermont-Ferrand, September 27th, 2017.
- CEDYA + CMA Cartagena, June 28th, 2017. Slides of the talk -- Proceeding
- Journées Optimisation de Formes et Applications Limoges, June 9th, 2017. Slides of the talk
- Emerging Topics in Optics Minneapolis, April 28th, 2017. Slides of the talk
- Fourteenth International Conference Zaragoza-Pau Jaca, September 12th, 2016. Slides of the talk
- International Conference of the Euro-Maghreb Laboratory of Mathematics and their Interactions Hammamet, April 28th, 2016. Slides of the talk
- SMAI 2015 Les Karellis, June 11th, 2015. Slides of the talk
- Workshop Inverse Problems Grenoble, January 29th, 2015. Slides of the talk
- Special semester: New Trends in Calculus of Variations; Shape and Toplogical Optimization Linz, October 14th, 2014. Slides of the talk
- New Trends in Shape Optimization Erlangen, September 24th, 2013. Slides of the talk
- SMAI 2013 Seignosse Le Penon, May 27th, 2013. Slides of the talk
- WCSMO 10 (10th World Congress on Structural and Multidisciplinary Optimization) Orlando, Florida, May 19th , 2013. Slides of the talk -- Proceeding
- PICOF 2012 (Inverse Problems, Control and Shape Optimization) Palaiseau, April 3rd , 2012. Slides of the talk
- ACOMEN 2011 (Advanced COmputational Methods in ENgineering) Liège, November 16, 2011. Slides of the talk -- Proceeding

- Séminaire ONERA-DAAA Châtillon, France, March, 14th, 2024.
- Séminaire de mathématiques Ziguinchor, Senegal, February, 28th, 2024.
- Seminar of the Center for Mathematical Modeling Santiago, Chile, January, 19th, 2024.
- Séminaire du Laboratoire Laboratoire Jacques-Louis Lions, December, 22nd, 2023.
- Groupe de travail CalVa Université Paris-Dauphine, November, 6th, 2023.
- Séminaire IDEFIX-MEDISIM-POEMS Ensta, Paris, October, 5th, 2023.
- Modeling, Computation, Nonlinearity, Randomness, and Waves Seminar University of Arizona, Tucson (USA), March, 23rd, 2023.
- Séminaire de Mathématiques et de leurs Applications Pau, January, 12th, 2023.
- Journées ANR MAGA Autrans, February, 3rd, 2022.
- Séminaire d'analyse numérique et de calcul scientifique Besançon, February, 4th, 2021.
- POEMS Team seminar Paris, October, 24th, 2019.
- 19ème journée calcul scientifique et modélisation mathématique Amiens, June, 6th, 2019.
- Colloquium of the mathematics department Inha University, Seoul, South Korea, May, 16th, 2019.
- Séminaire de l'équipe CGAO du Laboratoire de Mathématiques de Valenciennes Valenciennes, April, 11th, 2019.
- Séminaire Modélisation mathématique et calcul scientifique Lyon, November, 27th, 2018.
- Rencontres Inria-LJLL en calcul scientifique INRIA Paris, November, 19th, 2018.
- Séminaire Equations aux Dérivées Partielles et Applications Nancy, June, 5th, 2018.
- Séminaire d'Analyse non linéaire et Optimisation Avignon, April, 19th, 2018.
- Groupe de travail: Calcul des Variations Orsay, January, 22nd, 2018.
- Séminaire du CMAP Ecole Polytechnique, December, 19th, 2017.
- Séminaire d'analyse Université de Tours, December, 7th, 2017.
- Numerical Analysis Group Internal seminar Oxford University, November, 28th, 2017.
- Partial Differential Equations seminar Oxford University, November, 27th, 2017.
- Séminaire équations aux dérivées partielles Université de Strasbourg, November, 21th, 2017.
- Seminar of the mechanical Engineering department, University of Texas at San Antonio, San Antonio, May, 8th, 2017.
- Groupe de travail PIC (Problèmes Inverses, Contrôle) Grenoble, January, 27th, 2017.
- 1ère journée Mmg Paris, January, 23rd, 2017.
- Eighth FreeFem workshop Paris, December 9th, 2016.
- Séminaire d'Analyse non linéaire et Optimisation Avignon, December, 4th, 2015.
- Journées EDP Rhône-Alpes Auvergne Clermont-Ferrand, November, 19th, 2015.
- ANR Optiform project meeting Institut Elie Cartan, October, 29th, 2015.
- Séminaire EDP et applications Lyon, September 15th, 2015.
- Universidad Politecnica de Cartagena, Cartagena (Spain), May 4th, 2015.
- Rencontres Dysco Grenoble, May 18th, 2015.
- Séminaire de Mathématiques Appliquées Université de Nantes, March 05th, 2015.
- Inverse Problems and Analysis Seminar University of Delaware, December 11th, 2014.
- Numerical Analysis and Computing Seminar New York University, September 19th, 2014.
- MIP team seminar Toulouse, May 21st, 2014.
- Seminar: Algorithms, Computation, Geometry and Image INRIA Nancy, December, 18, 2013.
- ANR Optiform project meeting Université Paris-Dauphine, November, 27, 2013.
- Groupe de travail : Application des mathématiques Rennes, November, 6, 2013.
- Working group: Calculus of variations, geometry, image Grenoble, September, 5, 2013.
- Fourth FreeFem workshop on Generic Solver for PDEs : FreeFem++ and applications Paris, December 7, 2012.
- Ph.D students seminar of Laboratoire Jacques-Louis Lions Paris, October 16, 2012.
- Journée interne du laboratoire Jacques-Louis Lions Paris, March 14th , 2012.
- Groupe de Travail Numérique Orsay, October 16th, 2012.
- Ph.D students seminar of the CMAP (Ecole Polytechnique) Palaiseau, November 2, 2011.
- Working group on calculus of variations Palaiseau, March 9, 2011.
- Ph.D students seminar of Laboratoire Jacques-Louis Lions Paris, February 8, 2011.
- Journée conjointe GDR MSPC et SMAI-AFA : "Mesh generation and applications" Paris, November 26, 2010.