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Rémi Cornaggia

I am now (from 2020) Maître de conférences (assistant professor) at Sorbonne Université, teaching in the UFR d'ingénierie (engineering department) and conducting my research in team MISES of Institut Jean le Rond d'Alemebert. I am interested in the modelling and simulation of acoustic and elastic waves, and to the homogenization and optimization of architected materials and composites.

I have been working mainly on inverse scattering problems, vibrations of heterogeneous beams, and homogenisation and optimisation of periodic materials to enhance dispersive effects. My favourite mathematical tools are topological derivatives of various cost functionnals or quantities of interest, volumic integral equations to reformulate scattering problems, and the two-scale homogenisation method to address periodic media. For numerics, I mainly use finite elements, boundary elements, and FFT-based methods for numerical homogenisation.

Below is a short CV to provide some context to the list of publications :

I obtained in 2016 a PhD in Applied mathematics from the University Paris-Saclay and a PhD in Civil Engineering from the University of Minnesota, thanks to a joint program between those universities, for a thesis prepared in teams POEMS (Applied maths department, ENSTA Paristech) and in the Department of Civil, Environmental and Geo-Engineering of the UoM.

This thesis is entitled Development and use of high-order asymptotic methods to solve inverse scattering problems and was supervised by Marc Bonnet and Bojan B. Guzina.

I then spent two years (2016-2018) as a post-doc researcher in the teams Mathematical modeling for mechanics and Numerical Analysis of IRMAR (University of Rennes-1), thanks to a fellowship granted by the Centre Henri Lebesgue for a research project presented with Loïc Le Marrec, Éric Darrigrand and Fabrice Mahé. We worked on enriched finite element methods to simulate the vibrations of heterogeneous beams.

In 2018-2019, I was a postdoctoral researcher at LMA (Laboratoire de mécanique et d'acoustique) in Marseille, thanks to a fellowship granted by the Labex Mécanique et complexité for a research subject proposed by Bruno Lombard and Cédric Bellis, on the homogenization and topological optimization of microstructured media and interfaces.

In 2019-2020, I was employed by the company Inovsys as a post-doctoral researcher, and work part-time at LMA on the modelling of thermo-viscoleastic composites fur fused deposition processes.

Journal articles7 documents

  • Rémi Cornaggia, Eric Darrigrand, Loïc Le Marrec, Fabrice Mahé. Enriched finite elements and local rescaling for vibrations of axially inhomogeneous Timoshenko beams. Journal of Sound and Vibration, Elsevier, 2020, 474 (115228), ⟨10.1016/j.jsv.2020.115228⟩. ⟨hal-02050532v2⟩
  • Rémi Cornaggia, Cédric Bellis. Tuning effective dynamical properties of periodic media by FFT-accelerated topological optimization. International Journal for Numerical Methods in Engineering, Wiley, 2020, ⟨10.1002/nme.6352⟩. ⟨hal-02311019v2⟩
  • Rémi Cornaggia, Bojan Guzina. Second-order homogenization of boundary and transmission conditions for one-dimensional waves in periodic media. International Journal of Solids and Structures, Elsevier, 2020, 188–189, pp.88-102. ⟨10.1016/j.ijsolstr.2019.09.009⟩. ⟨hal-02297483⟩
  • Rémi Cornaggia, Eric Darrigrand, Loïc Le Marrec, Fabrice Mahé. Enriched finite elements for time-harmonic Webster’s equation. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2018, 341, pp.985-1007. ⟨10.1016/j.cma.2018.07.031⟩. ⟨hal-01862180⟩
  • Marc Bonnet, Rémi Cornaggia, Bojan Guzina. Sub-wavelength sensing of bi-periodic materials using topological sensitivity of second-order homogenized model. Journal of Physics: Conference Series, IOP Publishing, 2018, 1131, pp.012008. ⟨10.1088/1742-6596/1131/1/012008⟩. ⟨hal-01972083⟩
  • Marc Bonnet, Rémi Cornaggia, Bojan Guzina. Microstructural topological sensitivities of the second-order macroscopic model for waves in periodic media. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2018, 78 (4), pp.2057-2082. ⟨10.1137/17M1149018⟩. ⟨hal-01742396v3⟩
  • Marc Bonnet, Rémi Cornaggia. Higher order topological derivatives for three-dimensional anisotropic elasticity. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, pp.2069-2092. ⟨10.1051/m2an/2017015⟩. ⟨hal-01499498⟩

Conference papers6 documents

  • Rémi Cornaggia, Nicolas Favrie, Bruno Lombard. Modèles de milieux continus généralisés et conditions aux limites obtenus par homogénéisation d’ordre deux pour la propagation d’ondes en milieux périodiques 1D. Congrès SMAI 2019 - 9ème Biennale des mathématiques appliquées et industrielles, May 2019, Guidel Plage, France. ⟨hal-02269817⟩
  • Cédric Bellis, Rémi Cornaggia, Bruno Lombard. Topological optimization of periodic materials to enhance anisotropic dispersive effects. WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria. ⟨hal-02269821⟩
  • Rémi Cornaggia, Eric Darrigrand, Loïc Le Marrec, Fabrice Mahé. Enriched finite elements for high-frequency vibrations of geometrically heterogeneous bars and Timoshenko beams. Congrès National d'Analyse Numérique 2018, May 2018, Cap d'Agde, France. ⟨hal-01835428⟩
  • Rémi Cornaggia, Eric Darrigrand, Loïc Le Marrec, Fabrice Mahé. Exponential approximation and enriched FEM for rods and Timoshenko beams. 8e Biennale Française des Mathématiques Appliquées et Industrielles (SMAI 2017), Jun 2017, Ronce-les-Bains, France. ⟨hal-01835865⟩
  • Rémi Cornaggia, Bojan Guzina, Marc Bonnet. Topological derivatives of leading-and second-order homogenized coefficients in bi-periodic media. WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minneapolis, United States. ⟨hal-02065548⟩
  • Marc Bonnet, Rémi Cornaggia. Higher-order expansion of misfit functional for defect identification in elastic solids. WAVES 2015 The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2015, Karlsruhe, Germany. ⟨hal-01388731⟩

Theses2 documents

  • Rémi Cornaggia. On the development and use of higher-order asymptotics for solving inverse scattering problems.. Numerical Analysis [math.NA]. Université Paris Saclay (COmUE); University of Minnesota, 2016. English. ⟨NNT : 2016SACLY012⟩. ⟨tel-01573831⟩
  • Rémi Cornaggia. Development and use of higher-order asymptotics to solve inverse scattering problems. Modeling and Simulation. Université Paris Saclay, 2016. English. ⟨tel-01395525v2⟩