- A consistent approximation of the total perimeter functional for topology optimization algorithms
S. Amstutz, C. Dapogny and A. Ferrer, submitted, (2021). (summary)
- Small perturbations in the type of boundary conditions for an elliptic operator
E. Bonnetier, C. Dapogny and M.S. Vogelius, submitted, (2021). (summary)
- Shape and topology optimization for Maximum Probability Domains in Quantum Chemistry
B. Braida, J. Dalphin, C. Dapogny, P. Frey and Y. Privat, submitted, (2020). (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, submitted, (2020).
- 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)
The main purpose of this thesis is to propose a method for structural
optimization which combines the accuracy of featuring an exact, meshed description of shapes
at each stage of the process with the versatility of the level set method
for tracking their evolution. This notably brings into play the device of numerical schemes
for the level set method on simplicial meshes, and the construction of a three-dimensional
local remeshing algorithm.
Independently, we also study two problems related to modeling in structural optimization.
- 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 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.